@book{Abramowitz&Stegun:1965,
	key = "Abramowitz and Stegun 1965",
	author = "M. Abramowitz and I. Stegun",
	title = "Handbook of Mathematical Functions",
	publisher = "Dover",
	address = NY,
	year = 1965}

@book{Ahlfors:1966,
	key = "Ahlfors 1966",
	author = "L. Ahlfors",
	title = "Complex Analysis",
	publisher = "McGraw-Hill",
	address = NY,
	year = 1966}

@book{Apostol:1976,
	key = "Apostol 1976",
	author = "T. M. Apostol",
	title = "Introduction to Analytic Number Theory",
	publisher = SV,
	address = NY,
	year = 1976}

@book{Blanchard:1957,
	key = "Blanchard 1957",
	author = "A. Blanchard",
	title = "Initiation {\`a} la {Th\'eorie} {Analytique} des Nombres
Premiers",
	publisher = "Dunod",
	address = "Paris",
	year = 1957}

@book{Bracewell:1986,
	key = "Bracewell 1986",
	author = "R. N. Bracewell",
	title = "The Fourier Transform and Its Applications",
	publisher = "McGraw-Hill",
	address = NY,
	year = 1986}

@book{DavenportH:1980,
	key = "H. Davenport 1980",
	author = "H. Davenport",
	title = "Multiplicative Number Theory",
	publisher = SV,
	address = "Berlin",
	year = 1980}

@book{Edwards:1974,
	key = "Edwards 1974",
	author = "H. M. Edwards",
	title = "{Riemann's} Zeta Function",
	publisher = AP,
	address = NY,
	year = 1974}

@book{Gelfond&Linnik:1966,
	key = "Gel\'{}fond and Linnik 1966",
	author = "A. O. {Gel\'{}fond} and Y. V. Linnik",
	title = "Elementary Methods in the Analytic Theory of Numbers",
	publisher = MIT,
	address = "Cambridge, Mass.",
	year = 1966}


@book{Ingham:1932,
	key = "Ingham 1932",
	author = "A. E. Ingham",
	title = "The Distribution of Prime Numbers",
	publisher = CUP,
	address = "Cambridge",
	year = 1932}

@book{Ivic:1985,
	key = "{Ivi\'c} 1985",
	author = "A. {Ivi\'c}",
	title = "The {Riemann} Zeta-Function",
	publisher = "Wiley",
	year = 1985}

@book{Jahnke&Emde&Losch:1960,
	key = "Jahnke, Emde, and {L\"osch} 1960",
	author = "E. Jahnke and F. Emde and F. {L\"osch}",
	title = "Tables of Higher Functions",
	publisher = "McGraw-Hill",
	address = NY,
	year = 1960}

@book{Montgomery:1971,
	key = "H. Montgomery 1971",
	author = "H. L. Montgomery",
	title = "Topics in Multiplicative Number Theory",
	publisher = SV,
	address = "Berlin",
	series = LNIM,
	volume = 227,
	year = 1971}

@article{Barner:1981,
	key = "Barner 1981",
	author = "K. Barner",
	title = "On {A. Weil}'s explicit formula",
	journal = JFRAM,
	volume = 323,
	year = 1981,
	pages = "140-152"}

@article{Brent:1979,
	key = "Brent 1979",
	author = "R. P. Brent",
	title = "On the zeros of the {Riemann} zeta function in the
critical strip",
	journal = MC,
	volume = 33,
	year = 1979,
	pages = "1361-1372"}

@article{Briggs&Chowla:1955,
	key = "Briggs and Chowla 1955",
	author = "W. E. Briggs and S. Chowla",
	title = "The power series coefficients of $\zeta(s)$",
	journal = AMM,
	volume = 62,
	year = 1955,
	pages = "323-325"}

@article{Chowla:1952,
	key = "Chowla 1952",
	author = "S. Chowla",
	title = "The {Riemann} zeta and allied functions",
	journal = BAMS,
	volume = 58,
	year = 1952,
	pages = "287-305"}

@article{Chowla&Hartung:1974,
	key = "Chowla and Hartung 1974",
	author = "S. Chowla and P. Hartung",
	title = "A note on the hypothesis that {$L(s, \chi) > 0$} for
all real non-principal characters $\chi$ and for all $s > 0$",
	journal = JNT,
	volume = 6,
	year = 1974,
	pages = "271-275"}

@article{Denjoy:1964,
	key = "Denjoy 1964",
	author = "A. Denjoy",
	title = "Probabilit\'es confirmant {l'hypoth\`ese} de {Riemann} sur
		 les {z\'eros} de $\zeta(s)$",
	journal = CRASP,
	volume = 259,
	year = 1964,
	pages = "3143-3145"}

@article{Diamond:1982,
	key = "Diamond 1982",
	author = "H. G. Diamond",
	title = "Elementary methods in the study of the distribution of
prime numbers",
	journal = BAMS,
	volume = 7,
	year = 1982,
	pages = "553-589"}

@article{Davies:1965,
	key = "Davies 1965",
	title = "An approximate functional equation for {Dirichlet}
{$L$-functions}",
	author = "D. Davies",
	journal = PRSL,
	volume = 264,
	year = 1965,
	pages = "224-236"}

@article{Davies:1961,
	key = "Davies 1961",
	title = "The computation of the zeroes of {H}ecke zeta functions
		 in the {G}aussian field",
	author = "D. Davies",
	journal = PRSL,
	volume = 264,
	year = 1961,
	pages = "496-502"}

@article{Elliott:1967,
	key = "Elliott 1967",
	author = "P. D. T. A. Elliott",
	title = "A problem of {Erd\H os} concerning power residue sums",
	journal = AA,
	volume = 13,
	year = 1967,
	pages = "131-149",
	note = "Corrigendum in {\bf 14} (1968), 437"}

@article{Elliott:1968,
	key = "Elliott 1968",
	author = "P. D. T. A. Elliott",
	title = "Some notes on $k$-th power residues",
	journal = AA,
	volume = 14,
	year = 1968,
	pages = "153-162"}

@article{Estermann:1948,
	key = "Estermann 1948",
	author = "T. Estermann",
	title = "On {Dirichlet's} {$L$} functions",
	journal = JLMS,
	volume = 23,
	year = 1948,
	pages = "275-279"}

@article{Ferguson:1963,
	key = "R. Ferguson 1963",
	author = "R. P. Ferguson",
	title = "An application of {Stieltjes} integration to the power
series coefficients of the {Riemann} zeta function",
	journal = AMM,
	volume = 70,
	year = 1963,
	pages = "60-61"}

@article{Good&Churchhouse:1968,
	key = "Good and Churchhouse 1968",
	author = "I. J. Good and R. F. Churchhouse",
	title = "The {Riemann} hypothesis and pseudorandom features
		 of the {M\"obius} sequence",
	journal = MC,
	volume = 22,
	year = 1968,
	pages = "857-861"}

@article{Guinand:1949,
	key = "Guinand 1949",
	author = "A. P. Guinand",
	title = "A summation formula in the theory of prime numbers",
	journal = PLMS,
	volume = 50,
	year = 1949,
	pages = "107-119"}

@article{Heath-Brown:1978a,
	key = "Heath-Brown 1978a",
	author = "D. R. Heath-Brown",
	title = "The differences between consecutive primes",
	journal = JLMS,
	volume = 18,
	year = "{\noopsort{1978a}}1978",
	pages = "7-13"}

@article{Hooley:1967,
	key = "Hooley 1967",
	author = "C. Hooley",
	title = "On {Artin's} conjecture",
	journal = JFRAM,
	volume = 225,
	year = 1967,
	pages = "209-220"}

@article{Jenner:1969,
	key = "Jenner 1969",
	author = "W. E. Jenner",
	title = "On zeta functions of number fields",
	journal = DMJ,
	volume = 36,
	year = 1969,
	pages = "669-671"}

@article{Jutila:1971,
	key = "Jutila 1971",
	author = "M. Jutila",
	title = "A new estimate for {Linnik's} constant",
	journal = AASF,
	number = 471,
	year = 1971,
	pages = "3-8"}

@incollection{Jutila:1975,
	key = "Jutila 1975",
	author = "M. Jutila",
	title = "Recent progress in the theory of {L-functions}",
	booktitle = "S\'eminaire Delange-Pisot-Poitou",
	volume = 6,
	publisher = SECM,
	address = "Paris",
	year = 1975,
	pages = "6-10 to 6-07"}

@incollection{Lagarias&Odlyzko:1977,
	key = "Lagarias and Odlyzko 1977",
	author = "J. C. Lagarias and A. M. Odlyzko",
	title = "Effective versions of the {Chebotarev} density theorem",
	booktitle = "Algebraic Number Fields",
	editor = "A. {Fr\"ohlich}",
	publisher = AP,
	address = "London",
	year = 1977,
	pages = "409-464"}

@article{Lagarias&Odlyzko:1979,
	key = "Lagarias and Odlyzko 1979",
	author = "J. C. Lagarias and A. M. Odlyzko",
	title = "On computing {Artin} {$L$-functions} in the critical strip",
	journal = MC,
	volume = 33,
	year = 1979,
	pages = "1081-1095"}

@article{Lagarias&Montgomery&Odlyzko:1979,
	key = "Lagarias, Montgomery, and Odlyzko 1979",
	author = "J. C. Lagarias and H. L. Montgomery and A. M. Odlyzko",
	title = "A bound for the least prime ideal in the {Chebotarev}
density theorem",
	journal = INVM,
	volume = 54,
	year = 1979,
	pages = "271-296"}

@incollection{Lehmer&Lehmer:1962,
	key = "D. H. Lehmer and E. Lehmer 1962",
	author = "D. H. Lehmer and E. Lehmer",
	title = "Heuristics, anyone?",
	booktitle = "Studies in Mathematical Analysis and Related Topics",
	editor = "G. {Szeg\"o}",
	publisher = "Stanford Univ. Press",
	address = "Stanford",
	pages = "202-210",
	year = 1962}

@article{Lehmer&Lehmer&Shanks:1970,
	key = "D. H. Lehmer, E. Lehmer, and Shanks 1970",
	author = "D. H. Lehmer and E. Lehmer and D. Shanks",
	title = "Integer sequences having prescribed quadratic character",
	journal = MC,
	volume = 24,
	year = 1970,
	pages = "433-451"}

@techreport{Livingston:1986,
	key = "Livingston 1986",
	author = "M. L. Livingston",
	title = "Explicit estimates for the $\psi$--function for primes
in arithmetic progression",
	institution = "S. Illinois Univ. at Edwardsville",
	number = "No. 69",
	month = "March",
	year = 1986}

@article{van.de.Lune&te.Riele:1983,
	key = "van de Lune and te Riele 1983",
	author = "Lune, J. van de and Riele, H. J. J. te",
	title = "On the zeros of the {Riemann} zeta function in the
critical strip. {III}",
	journal = MC,
	volume = 41,
	year = 1983,
	pages = "759-767"}

@article{McCurley:1984a,
	key = "McCurley 1984a",
	author = "K. S. McCurley",
	title = "Explicit estimates for the error term in the prime
number theorem for arithmetic progressions",
	journal = MC,
	volume = 42,
	year = "{\noopsort{1984a}}1984",
	pages = "265-285"}

@incollection{Montgomery:1976,
	key = "H. Montgomery 1976",
	author = "H. L. Montgomery",
	title = "Problems concerning prime numbers",
	booktitle = "Mathematical Developments Arising from Hilbert Problems",
	editor = "F. E. Browder",
	series = PSPM,
	publisher = AMS,
	volume = 28,
	year = 1976,
	pages = "307-310"}

@incollection{Montgomery:1980,
	key = "H. Montgomery 1980",
	author = "H. L. Montgomery",
	title = "The zeta function and prime numbers",
	booktitle = "Proc. Queen's Number Theory Conf.",
	editor = "P. Ribenboim",
	series = QPPAM,
	volume = 54,
	year = 1980,
	pages = "1-31"}

@article{Nicolas&Robin:1983,
	key = "Nicolas and Robin 1983",
	author = "J. L. Nicolas and G. Robin",
	title = "Majorations explicites pour le nombre de diviseurs de
{$N$}",
	journal = CMB,
	volume = 26,
	year = 1983,
	pages = "485-492"}

@book{Norton:1971,
	key = "K. Norton 1971",
	author = "K. K. Norton",
	title = "Numbers With Small Prime Factors and the Least $k$th
Power Non-Residue",
	series = "Memoirs Amer. Math. Soc.",
	publisher = AMS,
	volume = 106,
	year = 1971}

@article{Oesterle:1979,
	key = "{Oesterl\'e} 1979",
	author = "J. {Oesterl\'e}",
	title = "Versions effectives du {th\'eor\`eme} de {Chebotarev} sous
		 {l'hypoth\`ese} de {Riemann} {g\'en\'eralis\'ee}",
	journal = ASTER,
	volume = 61,
	year = 1979,
	pages = "165-167"}

@article{Pintz:1976,
	key = "Pintz 1976",
	author = "J. Pintz",
	title = "Elementary methods in the theory of {$L$-functions},
{I}: {Hecke's} theorem",
	journal = AA,
	volume = 31,
	year = 1976,
	pages = "53-60"}

@article{Rademacher:1959,
	key = "Rademacher 1959",
	author = "H. Rademacher",
	title = "On the {Phragm\'en--Lindel\"of} theorem and some
applications",
	journal = MZ,
	volume = 72,
	year = 1959,
	pages = "192-204"}
	
@incollection{Rosser:1963,
	key = "Rosser 1963",
	author = "J. B. Rosser",
	title = "Unexpected dividends in the theory of prime numbers",
	booktitle = "Experimental Arithmetic, High Speed Computing, and
		     Mathematics",
	series = PSAM,
	volume = 15,
	year = 1963,
	pages = "259-268"}

@article{Robin:1983,
	key = "Robin 1983",
	author = "G. Robin",
	title = "Estimation de la fonction de {Tchebychef} {$\Theta$} sur
le {$k$-i\`eme} nombre premier et grandes valeurs de la fonction
$\omega(n)$ nombre de diviseurs premiers de $n$",
	journal = AA,
	volume = 42,
	year = 1983,
	pages = "367-389"}

@article{Salie:1949,
	key = "Sali{\'e} 1949",
	author = "H. Sali{\'e}",
	title = "{\"Uber} den kleinsten positiven quadratischen {Nichtrest}
nach einer {Primzahl}",
	journal = "Math. Nachrichten",
	volume = 3,
	year = 1949,
	pages = "7-8"}

@article{Schur:1918,
	key = "Schur 1918",
	author = "I. Schur",
	title = "Einige {Bemerkungen} zu der vorstehended {Arbeit} des
{Herrn  G. P\'olya}:  {\"Uber} die {Verteilung} der quadratischen {Reste}
und {Nichtreste}",
	journal = GN,
	year = 1918,
	pages = "30-36",
	note = "Reprinted in {\it Gesammelte Abhandlungen,} Vol.\ II,
		pp.~239--245"}

@incollection{Shanks:1973,
	key = "Shanks 1973",
	author = "D. Shanks",
	title = "Systematic examination of {Littlewood's} bounds on
{$L(1, \chi)$}",
	booktitle = "Analytic Number Theory",
	editor = "H. G. Diamond",
	series = PSPM,
	volume = 24,
	publisher = AMS,
	year = 1973,
	pages = "267-283"}

@article{Shanks:1964,
	key = "Shanks 1964",
	author = "D. Shanks",
	title = "On maximal gaps between successive primes",
	journal = MC,
	volume = 18,
	year = 1964,
	pages = "646-651"}

@article{Siegel:1932,
	key = "Siegel 1932",
	author = "C. L. Siegel",
	title = "{\"Uber} {Riemanns} {Nachla\ss } zur analytischen
{Zahlentheorie}",
	journal = QSGMAP,
	volume = 2,
	year = 1932,
	pages = "45-80"}

@article{Siegel:1943,
	key = "Siegel 1943",
	author = "C. L. Siegel",
	title = "Contributions to the theory of {Dirichlet} {$L$-series} and
the {Epstein} zeta-functions",
	journal = AM,
	volume = 44,
	year = 1943,
	pages = "143-172"}

@article{Spira:1969,
	key = "Spira 1969",
	author = "R. Spira",
	title = "Calculation of {Dirichlet} {$L$-functions}",
	journal = MC,
	volume = 23,
	year = 1969,
	pages = "489-497"}

@article{Stark:1974,
	key = "Stark 1974",
	author = "H. M. Stark",
	title = "Some effective cases of the {Brauer-Siegel} theorem",
	journal = INVM,
	volume = 23,
	year = 1974,
	pages = "135-152"}

@article{de.la.Vallee.Poussin:1896a,
	key = "de la Vall{\'e}e Poussin 1896a",
	author = "Vall{\'ee} Poussin, C.-J. de la",
	title = "Recherches analytiques sur la th{\'e}orie des nombres premiers
		 (premi{\`e}re partie)",
	journal = ASSBRUX,
	volume = "20",
	year = "{\noopsort{1896a}}1896",
	pages = "183-256"}

@article{de.la.Vallee.Poussin:1896b,
	key = "de la Vall{\'e}e Poussin 1896b",
	author = "Vall{\'ee} Poussin, C.-J. de la",
	title = "Recherches analytiques sur la th{\'e}orie des nombres premiers
		 (deuxi{\`e}me partie)",
	journal = ASSBRUX,
	volume = "20",
	year = "{\noopsort{1896b}}1896",
	pages = "281-397"}

@article{Weinberger:1975,
	key = "Weinberger 1975",
	author = "P. J. Weinberger",
	title = "On small zeroes of {Dirichlet} {$L$-functions}",
	journal = MC,
	volume = 29,
	year = 1975,
	pages = "319-328"}

@article{Wilton:1927,
	key = "Wilton 1927",
	author = "J. R. Wilton",
	title = "A note on the coefficients in the expansion of
$\zeta(s,x)$ in powers of $s-1$",
	journal = QJPAM,
	volume = 59,
	year = 1927,
	pages = "329-332"}

@article{Wrench:1961,
	key = "Wrench 1961",
	author = "Wrench, Jr., J. W.",
	title = "Evaluation of {Artin's} constant and the twin-prime
constant",
	journal = MC,
	volume = 15,
	year = 1961,
	pages = "396-398"}

@article{Gegenbauer:1885,
	key = "Gegenbauer 1885",
	author = "L. Gegenbauer",
	title = "{A}symptotische {G}esetze der {Z}ahlentheorie",
	journal = "{D}enkschriften der kaiserlichen {A}kademie der
		   {W}issenschaften {\rm [Wien]}",
	volume = 49,
	year = 1885,
	comment = "Mathematische-Naturwissenschaftliche Classe: Wien",
	pages = "37-80"}


@article{Walther:1926a,
	key = "Walther 1926a",
	author = "A. Walther",
	title = "Anschauliches zur {Riemannschen} {Zetafunktion}",
	journal = ACTAM,
	volume = 48,
	year = "{\noopsort{1926a}}1926",
	pages = "393-400"}

@article{Liang&Todd:1972,
	key = "Liang and Todd 1972",
	author = "J. J. Y. Liang and J. Todd",
	title = "The {S}tieltjes constants",
	journal = JRNBS,
	volume = "76B",
	year = 1972,
	pages = "161-178"}

@article{Israilov:1983,
	key = "Israilov 1983",
	author = "M. I. Israilov",
	title = "On the {L}aurent expansion of the {R}iemann zeta function",
	journal = PSIM,
	comment = "English translation of Trudia Matem. Inst. Steklov",
	volume = "4",
	year = 1983,
	pages = "105-112"}

@book{van.der.Pol&Bremmer:1959,
	key = "van der Pol and Bremmer 1959",
	author = "Pol, B. van der and H. Bremmer",
	title = "Operational Calculus Based on the Two-sided Laplace
		 Integral",
	publisher = CUP, 
	address = "Cambridge",
	year = 1959}

@book{Schroeder:1984,
	key = "Schroeder 1984",
	author = "M. R. Schroeder",
	title = "Number Theory in Science and Communication",
	publisher = SV, 
	address = "Berlin",
	year = 1984}

@article{Weil:1952,
	key = "Weil 1952",
	author = "A. Weil",
	title = "Sur les ``formules explicites'' de la th{\'e}orie 
		des nombres premiers",
	journal = "Lund Univ. Math. Sem.",
	note = "Supplementary volume dedicated to Marcel Riesz",
	year = 1952,
	pages = "252-265"}

@book{Piltz:1884,
	key = "Piltz 1884",
	author = "A. Piltz",
	title = "{\"U}ber die H{\"a}ufigkeit der Primzahlen in 
		 arithmetischen Progressionen
		 und {\"u}ber verwandte Gesetze",
	publisher = "A. Neuenhahn",
	address = "Jena",
	year = 1884}

@book{Estermann:1952,
	key = "Estermann 1952",
	author = "T. Estermann",
	title = "Introduction to Modern Prime Number Theory",
	publisher = CUP,
	address = "Cambridge",
	year = 1952}

@article{Erdos:1935a,
	key = "Erd\H{o}s 1935a",
	author = "P. Erd\H{o}s",
	title = "On the difference of consecutive primes",
	journal = QJMOX,
	volume = "6",
	year = "{\noopsort{1935a}}1935",
	pages = "124-128"}

@article{Erdos:1935b,
	key = "Erd{\H{o}}s 1935b",
	author = "P. Erd{\H{o}}s",
	title = "On the normal number of prime factors of $p-1$ and
		 some related problems concerning {E}uler's $\phi$-function",
	journal = QJMOX,
	volume = "6",
	year = "{\noopsort{1935b}}1935",
	pages = "205-213"}

@article{Hadamard:1896,
	key = "Hadamard 1896",
	author = "J. Hadamard",
	title = "Sur la distribution des z{\'e}ros de la fonction $\zeta(s)$
		 et ses cons{\'e}quences arithm{\'e}tiques",
	journal = BSMF,
	volume = "24",
	year = 1896,
	pages = "199-220"}

@article{Cramer:1921,
	key = "Cram{\'e}r 1921",
	author = "H. Cram{\'e}r",
	title = "Some theorems concerning prime numbers",
	journal = AMAF,
	volume = "15",
	year = 1921,
	pages = "1-33",
	note = "Reprinted in {\it Collected Works}, Vol.\ I, pp.~138--170"}

@article{Cramer:1920,
	key = "Cram{\'e}r 1920",
	author = "H. Cram{\'e}r",
	title = "On the distribution of primes",
	journal = PCPS,
	volume = 20,
	year = 1920,
	pages = "272-280",
	note = "Reprinted in {\it Collected Works}, Vol.\ I, pp.~171--179"}

@article{Cramer:1937,
	key = "Cram{\'e}r 1937",
	author = "H. Cram{\'e}r",
	title = "On the order of magnitude of the difference between
		 consecutive prime numbers.",
	journal = AA,
	volume = "2",
	year = 1937,
	pages = "23-46",
	note = "Reprinted in {\it Collected Works}, Vol.\ II, pp.~871--894"}

@article{Riemann:1860,
	key = "Riemann 1860",
	author = "B. Riemann",
	title = "Ueber die {A}nzahl der {P}rimzahlen unter einer gegebenen
		 {G}rosse",
	note = "Reprinted in {\it Gessammelte Werke}, 2nd edition, 
                pp.~145--153.  
                English translation in Edwards [1974], pp.~299--305",
	journal = MBERLIN,
	year = 1860,
	comment = "No volume number!",
	pages = "671-680"}

@article{von.Koch:1901,
	key = "von Koch 1901",
	author = "Koch, H. von",
	title = "Sur la distribution des nombres premiers",
	journal = ACTAM,
	volume = 24,
	year = 1901,
	pages = "159-182"}

@article{Titchmarsh:1930,
	key = "Titchmarsh 1930",
	author = "E. C. Titchmarsh",
	title = "A divisor problem",
	journal = RPALERMO,
	volume = 54,
	year = 1930,
	pages = "414-429"}

@article{Kluyver:1924,
	key = "Kluyver 1924",
	author = "J. C. Kluyver",
	title = "On certain series of {Mr.} {Hardy}",
	journal = QJPAM,
	volume = 50,
	year = 1924,
	pages = "185-192"}

@article{Walther:1926b,
	key = "Walther 1926b",
	author = "A. Walther",
	title = "{\"U}ber die {Extrema} der {Riemannschen} {Zetafunktion}
		bei reelem {Argument}",
	journal = JDMV,
	volume = 34,
	year = "{\noopsort{1926a}}1926",
	pages = "171-177"}

@article{Fridlender:1949,
	key = "Fridlender 1949",
	author = "V. R. Fridlender",
	title = "On the least {$n$-th} power non-residue",
	journal = DAN,
	volume = 66,
	year = 1949,
	pages = "351-352",
	note = "In Russian"}

@article{te.Riele:1987,
	key = "te Riele 1987",
	author = "Riele, H. J. J. te",
	title = "On the sign of the difference $\pi(x) - {\rm li}(x)$",
	journal = MC,
	volume = 48,
	year = 1987,
	pages = "323-328"}

@article{Hoffstein:1979,
	key = "Hoffstein 1979",
	author = "J. Hoffstein",
	title = "Some analytic bounds for zeta functions and class numbers",
	journal = INVM,
	volume = 55,
	year = 1979,
	pages = "37-47"}

@article{Heath-Brown&Iwaniec:1979a,
	key = "Heath-Brown and Iwaniec 1979a",
	author = "D. R. Heath-Brown and H. Iwaniec",
	title = "On the difference between consecutive primes",
	journal = INVM,
	volume = 55,
	year = "{\noopsort{1979a}}1979",
	pages = "49-69"}

@article{Heath-Brown&Iwaniec:1979b,
	key = "Heath-Brown and Iwaniec 1979b",
	author = "D. R. Heath-Brown and H. Iwaniec",
	title = "On the difference between consecutive primes",
	journal = BAMS,
	volume = 1,
	year = "{\noopsort{1979b}}1979",
	pages = "49-69"}

@article{Karatsuba:1990,
	key = "Karatsuba 1990",
	author = "A. A. Karatsuba",
	title = "The distribution of prime numbers",
	journal = UMNAUK,
	volume = 45,
	year = 1990,
	pages = "81-140",
	note = "In Russian.  English translation in 
		{\it Russian Math.\ Surveys} {\bf 45} (1990), 99--171."
	}

@incollection{Graham&Ringrose:1990,
	key = "S. Graham and Ringrose 1990",
	author = "S. Graham and C. J. Ringrose",
	title = "Lower bounds for least quadratic non-residues",
	booktitle = "Analytic Number Theory: Proceedings of
	             a Conference in Honor of Paul T. Bateman",
	publisher = "Birkhauser",
	editor = "B. C. Berndt and H.C. Diamond and H. Halberstam
		  and A. Hildebrand",
	address = "Boston",
	year = 1990,
	pages = "269-309"}

@article{Vinogradov:1925,
	key = "Vinogradov 1925",
	author = "I. M. Vinogradov",
	title = "An elementary proof of a general theorem in analytic
		 number theory",
	journal = IAN,
	volume = 19,
	year = "1925",
	pages = "785-796",
	note = "In Russian.  English translations in 
	        {\em Selected Works,} pp. 57--64, and,
		under a different title,
		{\em Trans.\ Amer.\ Math.\ Soc.}
		{\bf 29} (1927), 209--217"}

@article{Vinogradov:1926,
	key = "Vinogradov 1926",
	author = "I. M. Vinogradov",
	title = "On a bound for the least {$n$}th power non-residue",
	journal = IAN,
	volume = 20,
	year = "1926",
	pages = "47-48",
	note = "In Russian.  English translations in 
	        {\em Selected Works,} pp. 69--77, and {\em Trans.\ 
		Amer.\ Math.\ Soc.}
		{\bf 29} (1927), 218--226"}

@article{Burgess:1962b,
	key = "Burgess 1962b",
	author = "D. A. Burgess",
	title = "On character sums and {$L$}-series",
	journal = PLMS,
	series = 3,
	volume = 12,
	year = "{\noopsort{1962b}}1962",
	pages = "193-206"}

@article{Hecke:1917,
	key = "Hecke 1917",
	author = "E. Hecke",
	title = "{\"U}ber die {$L$}-{F}unktionen und den
		{D}irichletschen {P}rimzahlsatz f{\"u}r einen
		beliebigen {Z}ahlk{\"o}rper",
	journal = GN,
	year = "1917",
	pages = "299-318",
	note = "Reprinted in {\it Werke}, pp.~178--197"
	}
		
@incollection{Mills:1965,
	key = "Mills 1965",
	author = "W. H. Mills",
	title = "Bounded consecutive residues and related problems",
	booktitle = "Theory of Numbers",
	editor = "A. L. Whiteman",
	series = PSPM,
	volume = 8,
	publisher = AMS,
	year = 1965,
	pages = "170-174"}

@unpublished{Biagioli&Chavey:1986,
	key = "Biagioli and Chavey 1986",
	author = "A. J. F. Biagioli and D. Chavey",
	title = "A new proof of {P}erron's theorem on quadratic residues",
	year = "1986",
	note = "Unpublished manuscript"}

@article{Briggs:1955,
	key = "Briggs 1955",
	author = "W. E. Briggs",
	title = "Some constants associated with the {R}iemann
		 zeta-function",
	journal = MMJ,
	volume = "3",
	year = "1955",
	pages = "117-121"}

@article{Srivastava:1988,
	key = "Srivastava 1988",
	author = "H. M. Srivastava",
	title = "A unified presentation of certain classes of
		 series of the {R}iemann zeta function",
	journal = RMUP,
	series = 4,
	volume = "14",
	year = "1988",
	pages = "1-23"}

@article{Hudson&Williams:1980,
	key = "Hudson and Williams 1980",
	author = "R. H. Hudson and K. S. Williams",
	title = "On the least quadratic non-residue of a prime 
		 $p \equiv 3$ (mod 4)",
	journal = JFRAM,
	volume = "318",
	year = "1980",
	pages = "106-109"}

@incollection{Turan:1971,
	key = "{Tur\'an} 1971",
	author = "P. {Tur\'an}",
	title = "On some recent results in the analytical theory
	         of numbers",
	booktitle = "1969 Number Theory Institute",
	editor = "D. J. Lewis",
	series = PSPM,
	volume = 20,
	publisher = AMS,
	year = 1971,
	pages = "359-374"}

@article{Buell&Hudson:1984,
	key = "Buell and Hudson 1984",
	author = "D. A. Buell and R. H. Hudson",
	title = "On runs of consecutive quadratic residues and 
		 quadratic nonresidues",
	journal = BIT,
	volume = "24",
	year = "1984",
	pages = "243-247"}

@inproceedings{Shoup:1990b,
	key = "Shoup 1990b",
	author = "V. Shoup",
	title = "Searching for primitive roots in finite fields",
	booktitle = STOC90,
	publisher = "ACM Press",
	year = "{\noopsort{1990b}}1990",
	pages = "546-554"
	}

@article{Gelfond:1956,
	key = "Gel\'{}fond 1956",
	author = "A. O. {Gel\'{}fond}",
	title = "On the arithmetic equivalent of analyticity of the
		 {D}irichlet {$L$}-series on the line {${\rm Re}\ s = 1$}",
	journal = IAN,
	volume = 20,
	pages = "145-166",
	year = 1956,
	note = "English translation in 
	        {\it AMS Transl.} (2) {\bf 19} (1962), ???--???"}

@article{Davies&Haselgrove:1961,
	key = "Davies and Haselgrove 1961",
	title = "The evaluation of {Dirichlet} {$L$-functions}",
	author = "D. Davies and C. B. Haselgrove",
	journal = PRSL,
	volume = 264,
	year = 1961,
	pages = "122-132"}

@article{Apostol:1985,
	key = "Apostol 1985",
	title = "Formulas for higher derivatives of the
		 {R}iemann zeta function",
	author = "T. M. Apostol",
	journal = MC,
	volume = 44,
	year = 1985,
	pages = "223-232"}

@article{Lehmer:1956b,
	key = "D. H. Lehmer 1956b",
	author = "D. H. Lehmer",
	title = "Extended computation of the {R}iemann zeta-function",
	journal = MATH,
	volume = 3,
	year = "{\noopsort{1956b}}1956",
	pages = "102-108"}

@article{Lehmer:1956a,
	key = "D. H. Lehmer 1956a",
	author = "D. H. Lehmer",
	title = "On the roots of the {R}iemann zeta-function",
	journal = ACTAM,
	volume = 95,
	year = "{\noopsort{1956a}}1956",
	pages = "291-298"}

@inproceedings{Rosser&Yohe&Schoenfeld:1969,
	key = "Rosser, Yohe, and Schoenfeld 1969",
	author = "J. B. Rosser and J. M. Yohe and L. Schoenfeld",
	title = "Rigorous computation and the zeros of the {R}iemann
		 zeta-function",
	booktitle = "Information Processing 68",
	publisher = NH,
	pages = "70-76",
	year = 1969}

@inproceedings{Odlyzko:1987b,
	key = "Odlyzko 1987b",
	author = "A. M. Odlyzko",
	title = "New analytic algorithms in number theory",
	booktitle = ICM86,
	editor = "A. M. Gleason",
	publisher = AMS,
	year = "{\noopsort{1987b}}1987",
	pages = "466-475"}

@inproceedings{Hejhal:1987,
	key = "Hejhal 1987",
	author = "D. A. Hejhal",
	title = "Zeroes of {E}pstein zeta functions and supercomputers",
	booktitle = ICM86,
	editor = "A. M. Gleason",
	publisher = AMS,
	pages = "1362-1384",
	year = 1987}

@article{van.der.Pol:1947,
	key = "van der Pol 1947",
	author = "Pol, B. van der",
	title = "An electro-mechanical investigation of the 
		 {R}iemann zeta function in the critical strip",
	journal = BAMS,
	volume = 53,
	year = 1947,
	pages = "976-981"}

@article{van.de.Lune&te.Riele&Winter:1986,
	key = "van de Lune, te Riele, and Winter 1986",
	author = "Lune, J. van de and Riele, H. J. J. te and D. T. Winter",
	title = "On the zeros of the {Riemann} zeta function in the
critical strip. {IV}",
	journal = MC,
	volume = 46,
	year = 1986,
	pages = "667-681"}

@techreport{Crary&Rosser:1975,
	key = "Crary and Rosser 1975",
	author = "F. D. Crary and J. B. Rosser",
	title = "High precision coefficients related to the zeta function",
	institution = "U. Wisconsin, Math. Res. Center",
	number = "No. 1344",
	month = "May",
	year = 1975}

@book{Haselgrove&Miller:1960,
	key = "Haselgrove and Miller 1965",
	author = "C. B. Haselgrove and J. C. P. Miller",
	title = "Tables of the Riemann Zeta Function",
	publisher = CUP,
	address = "Cambridge",
	year = 1960}

@book{Dwight:1958,
	key = "Dwight 1958",
	author = "H. B. Dwight",
	title = "Mathematical Tables of Elementary and Some Higher
		 Mathematical Functions",
	publisher = "Dover",
	address = NY,
	year = 1958}

@techreport{van.de.Lune:1975a,
	key = "van de Lune 1975a",
	author = "Lune, J. van de",
	title = "Some inequalities involving {R}iemann's zeta-function",
	institution = "Stichting Mathematisch Centrum",
	number = "ZW 50/75",
	address = "Amsterdam",
	year = "{\noopsort{1975a}}1975",
	month = "September" }

@techreport{van.de.Lune:1975b,
	key = "van de Lune 1975b",
	author = "Lune, J. van de",
	title = "A note on {R}iemann's zeta-function",
	institution = "Stichting Mathematisch Centrum",
	number = "ZW 52/75",
	address = "Amsterdam",
	year = "{\noopsort{1975b}}1975",
	month = "August" }

@techreport{van.de.Lune:1973,
	key = "van de Lune 1973",
	author = "Lune, J. van de",
	title = "On a formula of van der {P}ol and a problem concerning
		 the ordinates of the non-trivial zero's of {R}iemann's
		 zeta function",
	institution = "Stichting Mathematisch Centrum",
	number = "ZW 16/73",
	address = "Amsterdam",
	month = "December",
	year = 1973}

@techreport{van.de.Lune:1983,
	key = "van de Lune 1983",
	author = "Lune, J. van de",
	title = "Some observations concerning the zero-curves
		 of the real and imaginary parts of {R}iemann's
		 zeta function",
	institution = "Stichting Mathematisch Centrum",
	number = "ZW 201/83",
	address = "Amsterdam",
	month = "December",
	year = 1983}

@article{Nair:1982,
	key = "Nair 1982",
	author = "M. Nair",
	title = "On {C}hebyshev-type inequalities for primes",
	journal = AMM,
	volume = 89,
	year = 1982,
	pages = "126-129"}

@article{Chebyshev:1852,
	key = "Chebyshev 1852",
	author = "P. L. Chebyshev",
	title = "M{\'e}moire sur les nombres premiers",
	journal = JMPA,
	volume = 17,
	year = 1852,
	pages = "366-390",
	comment = "JMPA spells his name Tchebicheff.  Also in
		   MPETE, V. 7, 1854, pp. 15-33",
	note = "Reprinted in {\em Oeuvres}, Vol.\ 1, pp.~51--70"}

@article{Weinberger:1984,
	key = "Weinberger 1984",
	author = "P. J. Weinberger",
	title = "Finding the number of factors of a polynomial",
	journal = JA,
	volume = 5,
	year = 1984,
	pages = "180-186"}

@article{Wang:1959,
	key = "Y. Wang 1959",
	author = "Y. Wang",
	title = "On the least primitive root of a prime",
	journal = ACTAMS,
	volume = 9,
	year = 1959,
	pages = "432-441",
	note = "English translation in 
		{\em Sci.\ Sinica} {\bf 10} (1961), 1--14"}

@article{Sispanov:1942,
	key = "Sisp{\'a}nov 1942",
	author = "S. Sisp{\'a}nov",
	title = "La criba de {E}rat{\'o}stenes y la integral logar{\'\i}tmica
		 de {T}chebysheff",
	journal = "Boletin Matematico",
	volume = 15,
	year = 1942,
	pages = "105-116"}

@incollection{Cramer:1935,
	key = "Cram{\'e}r 1935",
	author = "H. Cram{\'e}r",
	title = "Prime numbers and probability",
	booktitle = "{\AA}ttonde Skandinaviska Matematikerkongressen",
	publisher = "H{\aa}kan Ohlsson",
	address = "Lund",
	pages = "107-115",
	year = 1935,
	note = "Reprinted in {\it Collected Works}, Vol.\ II, pp.~827--835"}

@article{Denjoy:1931,
	key = "Denjoy 1931",
	author = "A. Denjoy",
	title = "L'hypoth{\`e}se de {Riemann} sur la distribution des
		 z{\'e}ros de {$\zeta(s)$}, reli{\'ee} {\`a} la 
		 th{\'eorie} des probabilit{\'e}s",
	journal = CRASP,
	volume = 192,
	year = 1931,
	pages = "656-658"}

@article{Wintner:1944,
	key = "Wintner 1944",
	author = "A. Wintner",
	title = "Random factorizations and {R}iemann's hypothesis", 
	journal = DMJ,
	volume = 11,
	year = 1944,
	pages = "267-275"}

@article{Bateman&Horn:1962,
	key = "Bateman and Horn 1962",
	author = "P. T. Bateman and R. A. Horn",
	title = "A heuristic asymptotic formula concerning the
		 distribution of prime numbers", 
	journal = MC,
	volume = 16,
	year = 1962,
	pages = "363-367"}

@article{Schinzel:1963,
	key = "Schinzel 1963",
	author = "A. Schinzel",
	title = "A remark on a paper of {Bateman} and {Horn}",
	journal = MC,
	volume = 17,
	year = 1963,
	pages = "445-447"}

@article{Ducray:1965,
	key = "Ducray 1965",
	author = "S. Ducray",
	title = "Probability and prime numbers", 
	journal = "Proc. Indian Acad. Sci.",
	volume = 40,
	year = 1965,
	pages = "159-164",
	comment = "See critical review by Kubilius, MR 31, \# 3399"}

@incollection{Shanks:1962,
	key = "Shanks 1962",
	author = "D. Shanks",
	title = "An inductive formulation of the {Riemann} hypothesis",
	booktitle = "Abstracts of Short Communications, International
		     Congress of Mathematicians",
	address = "Uppsala",
	publisher = "Almqvist and Wiksells",
	year = 1962,
	pages = "51-52"}

@article{Cherwell:1941,
	key = "Cherwell 1941",
	author = "Lord Cherwell",
	title = "Number of primes and probability considerations",
	journal = "Nature",
	volume = 148,
	year = 1941,
	pages = "436"}

@article{Furry:1942,
	key = "Furry 1942",
	author = "W. H. Furry",
	title = "Number of primes and probability considerations",
	journal = "Nature",
	volume = 150,
	year = 1942,
	pages = "120-121"}

@article{Cherwell:1946,
	key = "Cherwell 1946",
	author = "Lord Cherwell",
	title = "Note on the distribution of the intervals between
		 prime numbers", 
	journal = QJMOX,
	volume = 17,
	year = 1946,
	pages = "46-62"}

@article{Cherwell&Wright:1960,
	key = "Cherwell and Wright 1960",
	author = "Lord Cherwell and E. M. Wright",
	title = "The frequency of prime-patterns",
	journal = QJMOX,
	series = 2,
	volume = 11,
	year = 1960,
	pages = "60-63"}

@article{Wright:1955,
	key = "Wright 1955",
	author = "E. M. Wright",
	title = "A non-linear difference-differential equation",
	journal = JFRAM,
	volume = 194,
	year = 1955,
	pages = "66-87"}

@article{Wright:1961,
	key = "Wright 1961",
	author = "E. M. Wright",
	title = "A functional equation in the heuristic theory of primes",
	journal = MG,
	volume = 45,
	year = 1961,
	pages = "15-16"}

@article{Hoffman.de.Visme:1961,
	key = "Hoffman de Visme 1961",
	author = "Hoffman de Visme, G.",
	title = "The density of prime numbers",
	journal = MG,
	volume = 45,
	year = 1961,
	pages = "13-14"}

@article{Gardiner&Lazarus&Metropolis&Ulam:1955,
	key = "Gardiner, Lazarus, Metropolis, and Ulam 1955",
	author = "V. Gardiner and R. Lazarus and N. Metropolis and S. Ulam",
	title = "On certain sequences of integers defined by sieves",
	journal = MM,
	volume = 29,
	year = 1955,
	pages = "117-122",
        note = "Reprinted in {\it Stanislaw Ulam: Sets, Numbers, and Universes},
                pp.~340-345"}

@article{Hawkins:1958,
	key = "Hawkins 1958",
	author = "Hawkins, D.",
	title = "The random sieve",
	journal = MM,
	volume = 31,
	year = 1958,
	pages = "1-3"}

@article{Hawkins:1974,
	key = "Hawkins 1974",
	author = "Hawkins, D.",
	title = "Random sieves, {II}",
	journal = JNT,
	volume = 6,
	year = 1974,
	pages = "192-200"}

@article{Neudecker:1975,
	key = "Neudecker 1975",
	author = "Neudecker, W.",
	title = "On twin `primes' and gaps between successive `primes'
		 for the {H}awkins random sieve",
	journal = MPCPS,
	volume = 77,
	year = 1975,
	pages = "365-367"}

@article{Heyde:1978,
	key = "Heyde 1978",
	author = "Heyde, C. C.",
	title = "A log log improvement to the {R}iemann hypothesis for
		 the {H}awkins random sieve",
	journal = ANPR,
	volume = 6,
	year = 1978,
	pages = "870-875"}

@article{Polya:1959,
	key = "P{\'o}lya 1959",
	author = "G. P{\'o}lya",
	title = "Heuristic reasoning in the theory of numbers",
	journal = AMM,
	volume = 66,
	year = 1959,
	pages = "375-384"}

@article{Davis:1981,
	key = "P. Davis 1981",
	author = "P. J. Davis",
	title = "Are there coincidences in mathematics?",
	journal = AMM,
	volume = 88,
	year = 1981,
	pages = "311-320"}

@article{Kosambi:1963,
	key = "Kosambi 1963",
	author = "D. D. Kosambi",
	title = "The sampling distribution of primes",
	journal = PNAS,
	volume = 49,
	year = 1963,
	pages = "20-23"}

@article{Elliott:1972,
	key = "Elliott 1972",
	author = "P. D. T. A. Elliott",
	title = "The {R}iemann zeta function and coin tossing",
	journal = JFRAM,
	volume = 254,
	year = 1972,
	pages = "100-109"}

@article{Sutton:1937,
	key = "Sutton 1937",
	author = "C. S. Sutton",
	title = "An investigation of the average distribution of
		 twin prime numbers",
	journal = JMP,
	volume = 16,
	year = 1937,
	pages = "1-42"}

@article{Hardy&Littlewood:1922,
	key = "G. Hardy and Littlewood 1922",
	author = "G. H. Hardy and J. E. Littlewood",
	title = "Some problems of `partitio numerorum': {III}:
		 on the expression of a number as a sum of primes",
	journal = ACTAM,
	volume = 44,
	year = 1922,
	pages = "1-70",
	note = "Reprinted in {\it Collected Papers of G. H. Hardy}, Vol.~I,
		pp.~561-630"}

@article{Littlewood:1914,
	key = "Littlewood 1914",
	author = "J. E. Littlewood",
	title = "Sur la distribution des nombres premiers",
	journal = CRASP,
	volume = 158,
	year = 1914,
	pages = "1869-1872"}

@article{Euler:1744,
	key = "Euler 1744",
	author = "L.  Euler",
	title = "Variae observationes circa series infinitas",
	journal = CASP,
	volume = 9,
	year = 1744,
	pages = "160-188",
	note = "Reprinted in {\em Opera Omnia}, 
		Series 1, Vol.\ 14, pp.~216--244"}

@article{Mertens:1874a,
	key = "Mertens 1874a",
	author = "F. Mertens",
	title = "Ein {B}eitrag zur analytischen {Z}ahlentheorie",
	journal = JFRAM,
	volume = 78,
	year = "{\noopsort{1874a}}1874",
	pages = "46-62"}

@book{Huxley:1972,
	key = "Huxley 1972",
	author = "M. N. Huxley",
	title = "The Distribution of Prime Numbers",
	publisher = OUP,
	address = "Oxford",
	year = 1972}

@article{Erdos:1932,
	key = "Erd\H{o}s 1932",
	author = "P. Erd\H{o}s",
	title = "Beweis eines {S}atzes von {T}schebyschef",
	journal = ACTALSS,
	volume = 5,
	year = 1932,
	pages = "194-198"}

@book{Landau:1927a,
	key = "E. Landau 1927a",
	author = "E. Landau",
	title = "Vorlesungen {\"u}ber {Z}ahlentheorie",
	publisher = "Teubner",
	address = "Leipzig",
	edition = "2nd",
	year = "{\noopsort{1927a}}1927",
	note = "3 volumes. Reprinted by Chelsea, New York, 1947"}

@book{Landau:1927b,
	key = "E. Landau 1927b",
	author = "E. Landau",
	title = "Einfuhrung in die elementare und analytische {Theorie}
		 der algebraische {Zahlen} und der {Ideale}",
	publisher = "Teubner",
	address = "Leipzig",
	year = "{\noopsort{1927b}}1927",
	note = "Reprinted by Chelsea, New York, 1949"}

@book{Royden:1968,
	key = "Royden 1968",
	author = "H. L. Royden",
	title = "Real Analysis",
	publisher = "MacMillan",
	address = NY,
	year = 1968}

@book{Walfisz:1963,
	key = "Walfisz 1963",
	author = "A. Walfisz",
	title = "Weylsche {E}xponentialsummen in der neueren
		 {Z}ahlentheorie",
	publisher = "VEB Deutscher Verlag der Wissenschaften",
	address = "Berlin",
	year = 1963,
	comment = "See MR 36, {\#} 3737"}

@book{Titchmarsh:1986,
	key = "Titchmarsh 1986",
	author = "E. C. Titchmarsh",
	title = "The Theory of the Riemann Zeta-function",
	publisher = OUP,
	address = "Oxford",
	edition = "2nd",
	year = 1986,
	note = "Revised by D. R. Heath-Brown"}

@article{Chebyshev:1851,
	key = "Chebyshev 1851",
	author = "P. L. Chebyshev",
	title = "Sur la fonction qui d{\'e}termine la totalit{\'e}
		 des nombres premiers inf\'erieurs \`a une limite donn\'ee",
	journal = MPETE,
	volume = 6,
	year = 1851,
	pages = "141-157",
	comment = "Also in JMPA, v. 17, 1852, pp. 341-365; 
		   JMPA spells his name Tchebicheff",
	note = "Reprinted in {\em Oeuvres,} Vol.\ I, pp.~29--48"}

@article{Burgess:1963a,
	key = "Burgess 1963a",
	author = "D. A. Burgess",
	title = "A note on the distribution of residues and non-residues",
	journal = JLMS,
	volume = 38,
	year = "{\noopsort{1963a}}1963",
	pages = "253-256"}

@article{Gallagher&Mueller:1978,
	key = "Gallagher and Mueller 1978",
	author = "P. X. Gallagher and J. H. Mueller",
	title = "Primes and zeros in short intervals",
	journal = JFRAM,
	volume = "303/304",
	year = 1978,
	pages = "205-220"}

@article{Goldston:1982,
	key = "Goldston 1982",
	author = "D. A. Goldston",
	title = "On a result of {L}ittlewood concerning prime numbers",
	journal = AA,
	volume = 40,
	year = 1982,
	pages = "263-271"}

@article{Odlyzko&Schoenhage:1988,
	key = "Odlyzko and Sch{\"o}nhage 1988",
	author = "A. M. Odlyzko and A. Sch{\"o}nhage",
	title = "Fast algorithms for multiple evaluations of the
		 {R}iemann zeta function",
	journal = TAMS,
	volume = 309,
	year = 1988,
	pages = "797-809"}

@article{Brauer:1953,
	key = "Brauer 1953",
	author = "A. Brauer",
	title = "On the distribution of the {J}acobian symbols",
	journal = MZ,
	volume = 58,
	year = 1953,
	pages = "226-231"}

@article{Friedlander:1973,
	key = "Friedlander 1973",
	author = "J. B. Friedlander",
	title = "On characters and polynomials",
	journal = AA,
	volume = 25,
	year = 1973,
	pages = "31-37"}

@incollection{Brauer:1969,
	key = "Brauer 1969",
	author = "A. Brauer",
	title = "Combinatorial methods in the distribution of
		 {$k$}th power residues",
	booktitle = "Combinatorial Mathematics and its Applications",
	publisher = UNC,
	editor = "R. C. Bose and T. A. Dowling",
	address = "Chapel Hill",
	year = 1969,
	pages = "14-37"
	}

@incollection{Linnik:1966,
	key = "Linnik 1966",
	author = "Ju. V. Linnik",
	title = "Sur une application du th{\'e}or{\`e}me d'{A}ndr{\'e} {W}eil
		 {\`a} la th{\'e}orie des charact{\`e}res de {D}irichlet",
	booktitle = "S{\'e}minaire Delange-Pisot-Poitou",
	publisher = SECM,
	address = "Paris",
	year = 1966,
	pages = "6-01 to 6-07"
	}

@article{Renyi:1948,
	key = "R{\'e}nyi 1948",
	author = "R{\'e}nyi, A.",
	title = "On the representation of an even number as the 
		 sum of a prime and an almost prime",
	journal = IAN,
	volume = 12,
	year = 1948,
	pages = "57-78",
	note = "In Russian.  English translation in
		{\em AMS Transl.} (2) {\bf 19} (1962), 299--321"
	}

@article{van.Lint&Richert:1965,
	key = "van Lint and Richert 1965",
	author = "Lint, J. H. van and Richert, H.-E.",
	title = "On primes in arithmetic progressions",
	journal = AA,
	volume = 11,
	year = 1965,
	pages = "209-216"
	}

@article{Jurkat&Richert:1965,
	key = "Jurkat and Richert 1965",
	author = "Jurkat, W. B. and Richert, H.-E.",
	title = "An improvement of {S}elberg's sieve method {I}",
	journal = AA,
	volume = 11,
	year = 1965,
	pages = "217-240"
	}

@article{Johnsen:1971,
	key = "Johnsen 1971",
	author = "J. Johnsen",
	title = "On the large sieve method in {${\rm GF}[q,x]$}",
	journal = MATH,
	volume = 18,
	year = 1971,
	pages = "172-184"
	}

@article{Gallagher:1968,
	key = "Gallagher 1968",
	author = "P. X. Gallagher",
	title = "Bombieri's mean value theorem",
	journal = MATH,
	volume = 15,
	year = 1968,
	pages = "1-6"
	}

@article{Barban:1966,
	key = "Barban 1966",
	author = "M. B. Barban",
	title = "The `large sieve' method and its applications in the
		 theory of numbers",
	journal = RMS,
	volume = 21,
	year = 1966,
	pages = "49-103"
	}

@article{Linnik:1941,
	key = "Linnik 1941",
	author = "M. B. Linnik",
	title = "The large sieve",
	journal = DAN,
	volume = 30,
	year = 1941,
	pages = "292-295"
	}

@incollection{Bombieri:1970,
	key = "Bombieri 1970",
	author = "E. Bombieri",
	title = "On a theorem of van {L}int and {R}ichert",
	booktitle = "Symposia Mathematica",
	volume = 4,
	publisher = AP,
	year = 1970,
	pages = "292-295"
	}

@incollection{Elliott&Halberstam:1970,
	key = "Elliott and Halberstam 1970",
	author = "Elliott, P. D. T. A. and Halberstam, H.",
	title = "A conjecture in prime number theory",
	booktitle = "Symposia Mathematica",
	volume = 4,
	publisher = AP,
	year = 1970,
	pages = "59-72"
	}

@article{Pan:1963,
	key = "Pan 1963",
	author = "C.-D. Pan",
	title = "A note on the large sieve method and its applications",
	journal = ACTAMS,
	volume = 13,
	year = 1963,
	pages = "262-268",
	note = "In Chinese.  English translation in 
                {\it Chinese Math.} {\bf 4} (1963), 283--290"}

@incollection{Julia:1990,
	key = "Julia 1990",
	author = "B. Julia",
	title = "Statistical theory of numbers",
	booktitle = "Number Theory and Physics",
	publisher = SV,
	editor = "J.-M. Luck and P. Moussa and M. Waldschmidt",
	year = 1990,
	pages = "276-293",
	series = "Proceedings in Physics",
	number = 47
	}

@incollection{Delange:1988,
	key = "Delange 1988",
	author = "H. Delange",
	title = "Probabilistic number theory",
	booktitle = "Ramanujan Revisited",
	publisher = AP,
	editor = "G. E. Andrews and R. A. Askey and B. C. Berndt
		  and K. G. Ramanathan and R. A. Rankin",
	year = 1988,
	pages = "153-165"}

@inproceedings{Matiyasevich:1990,
	key = "Matiyasevich 1990",
	author = "Y. V. {\noopsort{Matiyasevich}}Matijasevich",
	title = "The {R}iemann hypothesis from a logician's point of view",
	booktitle = "Number Theory",
	editor = "R. A. Mollin",
	publisher = "de Gruyter",
	pages = "387-400",
	year = 1990}

@article{Riesel&Gohl:1970,
	key = "Riesel and G{\"o}hl 1970",
	author = "H. Riesel and G. G{\"o}hl",
	title = "Some calculations related to {R}iemann's prime number formula",
	journal = MC,
	volume = 24,
	year = 1970,
	pages = "969-983"
	}

@article{McCurley:1986,
	key = "McCurley 1986",
	author = "K. S. McCurley",
	title = "The least $r$-free number in an arithmetic progression",
	journal = TAMS,
	volume = 293,
	year = 1986,
	pages = "467-475"
	}

@article{Ingham:1937,
	key = "Ingham 1937",
	author = "A. E. Ingham",
	title = "On the difference between consecutive primes",
	journal = QJMOX,
	volume = 8,
	year = 1937,
	pages = "255-266"
	}

@article{Heath-Brown:1982,
	key = "Heath-Brown 1982",
	author = "D. R. Heath-Brown",
	title = "Gaps between primes, and the pair correlation of
		 zeros of the zeta-function",
	journal = AA,
	volume = 41,
	year = 1982,
	pages = "85-99"
	}

@article{Heath-Brown:1978b,
	key = "Heath-Brown 1978b",
	author = "D. R. Heath-Brown",
	title = "Almost-primes in arithmetic progressions and short intervals",
	journal = MPCPS,
	volume = 83,
	year = "{\noopsort{1978b}}1978",
	pages = "357-375"
	}

@article{Kubilyus:1956,
	key = "Kubilyus 1956",
	author = "Kubilyus, I. P.",
	title = "Probabilistic methods in the theory of numbers",
	journal = UMNAUK,
	volume = 11,
	year = 1956,
	pages = "31-66",
	note = "In Russian.  English translation in
		{\em AMS Translations} (2) {\bf 19} (1962), 47--85"
	}

@article{Karatsuba:1985,
	key = "Karatsuba 1985",
	author = "Karatsuba, A. A.",
	title = "The {R}iemann zeta function and its zeros",
	journal = UMNAUK,
	volume = 40,
	year = 1985,
	pages = "19-70",
	note = "In Russian.  English translation in
		{\em Russian Math.\ Surveys} {\bf 40} (1985), 23--82"
	}

@article{Turan:1939,
	key = "Tur{\'a}n 1939",
	author = "Tur{\'a}n, P.",
	title = "{\"U}ber die {P}rimzahlen der arithmetischen
		{P}rogression. {(II.)}",
	journal = ACTASM,
	volume = 9,
	year = 1939,
	pages = "187-192"
	}

@inproceedings{Ozluk:1990,
	key = "{\"O}zl{\"u}k 1990",
	author = "A. E. {\"O}zl{\"u}k",
	title = "On the pair correlation of zeros of {D}irichlet 
		 {$L$}-functions",
	booktitle = "Number Theory",
	editor = "R. A. Mollin",
	publisher = "de Gruyter",
	pages = "471-476",
	year = 1990}

@article{Besenfelder:1977,
	key = "Besenfelder 1977",
	author = "H.-J. Besenfelder",
	title = "Die {W}eilsche ``{E}xplizite {F}ormel'' und
		 temperierte {D}istributionen",
	journal = JFRAM,
	volume = "293/294",
	year = 1977,
	pages = "228-257"
	}

@article{Hudson&Bays:1977,
	key = "Hudson and Bays 1977",
	author = "Hudson, R. H. and Bays, C.",
	title = "The mean behavior of primes in arithmetic progressions",
	journal = JFRAM,
	volume = 296,
	year = 1977,
	pages = "80-99"}

@article{Friedlander:1977,
	key = "Friedlander 1977",
	author = "Friedlander, J. B.",
	title = "Certain hypotheses concerning {$L$}-functions",
	journal = PJM,
	volume = 69,
	year = 1977,
	pages = "37-44"}

@article{Bays&Hudson:1978a,
	key = "Bays and Hudson 1978a",
	author = "C. Bays and R. H. Hudson",
	title = "On the fluctuations of {L}ittlewood for primes of
		 the form {$4n \pm 1$}",
	journal = MC,
	volume = 32,
	year = "{\noopsort{1978a}}1978",
	pages = "281-286"
	}

@article{Bays&Hudson:1978b,
	key = "Bays and Hudson 1978b",
	author = "C. Bays and R. H. Hudson",
	title = "Details of the first region of integers {$x$}
		 with {$\pi_{3,2}(x) < \pi_{3,1}(x)$}",
	journal = MC,
	volume = 32,
	year = "{\noopsort{1978b}}1978",
	pages = "571-576"
	}

@article{Matiyasevich:1982,
	key = "Matiyasevich 1982",
	author = "Yu. V. Matiyasevich",
	title = "Yet another machine experiment in support of
		 {R}iemann's conjecture",
	journal = KYBER,
	volume = 6,
	year = 1982,
	pages = "10-12",
	note = "In Russian. English translation in 
		{\em Cybernetics} {\bf 18} (1982), 705--707"
	}

@article{Prachar:1961,
	key = "Prachar 1961",
	author = "K. Prachar",
	title = "{\"U}ber die kleinste {P}rimzahl einer arithmetischen
		 {R}eihe",
	journal = JFRAM,
	volume = 206,
	year = 1961,
	pages = "3-4"
	}

@article{Meller:1958,
	key = "Meller 1958",
	author = "N. A. Meller",
	title = "Computations connected with the check of {R}iemann's
		 hypothesis",
	journal = DAN,
	volume = 123,
	year = 1958,
	pages = "246-248",
	note = "In Russian"}

@article{Shanks:1959,
	key = "Shanks 1959",
	author = "D. Shanks",
	title = "Quadratic residues and the distribution of primes",
	journal = MTAC,
	volume = 13,
	year = 1959,
	pages = "272-284"
	}

@article{Shanks&Wrench:1963,
	key = "Shanks and Wrench 1963",
	author = "Shanks, D. and Wrench, Jr., J. W.",
	title = "The calculation of certain {D}irichlet series",
	journal = MC,
	volume = 17,
	year = 1963,
	pages = "136-154",
	note = "Corrigendum in {\bf 22} (1968), 246"}

@article{Shanks:1963,
	key = "Shanks 1963",
	author = "Shanks, D.",
	title = "Supplementary data and remarks concerning a
		 {H}ardy-{L}ittlewood conjecture",
	journal = MC,
	volume = 17,
	year = 1963,
	pages = "188-193",
	}

@article{Hensley&Richards:1974,
	key = "Hensley and Richards 1974",
	author = "Hensley, D. and Richards, I.",
	title = "Primes in intervals",
	journal = AA,
	volume = 25,
	year = 1974,
	pages = "375-391"
	}

@article{Littlewood:1971,
	key = "Littlewood 1971",
	author = "J. E. Littlewood",
	title = "The quickest proof of the prime number theorem",
	journal = AA,
	volume = 18,
	year = 1971,
	pages = "83-86"
	}

@article{Burgess&Elliott:1968,
	key = "Burgess and Elliott 1968",
	author = "Burgess, D. A. and Elliott, P. D. T. A.",
	title = "The average of the least primitive root",
	journal = MATH,
	volume = 15,
	year = 1968,
	pages = "39-50"
	}

@article{Newman:1980,
	key = "Newman 1980",
	author = "Newman, D. J.",
	title = "Simple analytic proof of the prime number theorem",
	journal = AMM,
	volume = 87,
	year = 1980,
	pages = "693-696"
	}

@article{Walfisz:1936,
	key = "Walfisz 1936",
	author = "Walfisz, A.",
	title = "Zur additiven {Z}ahlentheorie. {II}",
	journal = MZ,
	volume = 40,
	year = 1936,
	pages = "592-607"
	}

@article{Bukhshtab:1967,
	key = "Bukhshtab 1967",
	author = "Bukhshtab, A.",
	title = "Combinatorial strengthening of the {E}ratosthenes
		 sieve method",
	journal = UMNAUK,
	volume = 22,
	year = 1967,
	pages = "199-226",
	note = "In Russian.  English translation in
		{\em Russian Math. Surveys}, {\bf ???}, (????), 205-233"
	}

@article{Montgomery&Vaughan:1973,
	key = "H. Montgomery and Vaughan 1973",
	author = "Montgomery, H. L. and Vaughan, R. C.",
	title = "The large sieve",
	journal = MATH,
	volume = 20,
	year = 1973,
	pages = "119-134"
	}

@article{Vinogradov:1963,
	key = "A. Vinogradov 1963",
	author = "A. I. Vinogradov",
	title = "On the residue in {M}ertens's formula",
	journal = DAN,
	volume = 148,
	year = 1963,
	pages = "262-263",
	note = "In Russian"
	}

@incollection{Gauss:1849,
	key = "Gauss 1849",
	author = "C. F. Gauss",
  	title = "Letter to {J.} {F.} {Encke}, {December} 24, 1849",
  	booktitle = "Werke",
	volume = 2,
  	publisher = "K. Gesellschaft der Wissenschaften zu G{\"o}ttingen",	
  	year = "1863",
  	pages = "444-447",
	note = "English translation in L. Goldstein [1973]\nocite{GoldsteinL:1973}"}

@article{Ingham:1945,
	key = "Ingham 1945",
	author = "A. E. Ingham",
	title = "Some tauberian theorems connected with the prime number theorem",
	journal = JLMS,
	volume = 20,
	year = 1945,
	pages = "171-180"
	}

@incollection{Gelfond:1946,
	key = "Gel\'{}fond 1946",
	author = "A. O. {Gel\'{}fond}",
	title = "Commentary [on {Chebyshev's} number-theory papers]",
	booktitle = "Complete Collected Works of P. L. Chebyshev",
	volume = 1,
	publisher = "Akademiia Nauk SSSR",
	address = "Moscow",
	year = 1946,
	pages = "285-288",
	note = "In Russian"}

@book{Dirichlet:1889,
	key = "Dirichlet 1889",
	author = "P. G. L. Dirichlet",
	title = "G. Lejeune Dirichlet's Werke",
	volume = 1,
	publisher = "Georg Reimer", 
	address = "Berlin",
	year = 1889,
	note = "Reprinted by Chelsea, New York, 1969."}

@article{Bertrand:1845,
	key = "Bertrand 1845",
	author= "J. Bertrand",
	title = "M{\'e}moire sur le nombre de valeurs que peut prendre
		 une function quand on y permute les lettres qu'elle
		 renferme",
	journal = JEPOLY,
	volume = 28,
	year = 1845,
	pages = "123-140"}

@article{Maier&Pomerance:1990,
	key = "Maier and Pomerance 1990",
	author= "H. Maier and C. Pomerance",
	title = "Unusually large gaps between consecutive primes",
	journal = TAMS,
	volume = 322,
	year = 1990,
	pages = "201-237"}

@incollection{Halberstam&Luo&Qi:1989,
	key = "Halberstam, Luo, and Qi 1989",
	author = "H. Halberstam and L. Shituo and Y. Qi",
	title = "A new upper bound on the linear sieve",
	booktitle = "Number Theory, Trace Formulas, and Discrete Groups:
Symposium in Honor of Atle Selberg",
	editor = "K. E. Aubert and E. Bombieri and D. Goldfeld",
	publisher = AP,
	pages = "331-341",
	year = 1989}

@incollection{Norton:1973,
	key = "K. Norton 1973",
	author = "K. K. Norton",
	title = "Bounds for sequences of consecutive power residues. {I}",
	booktitle = "Analytic Number Theory",
	editor = "H. G. Diamond",
	series = "Proceedings of Symposia in Pure Mathematics",
	volume = 24,
	year = 1973,
	publisher = AMS,
	pages = "213-220"}

@article{Dressler:1975,
	key = "Dressler 1975",
	author = "R. E. Dressler",
	title = "A property of the $\varphi$ and $\sigma_j$ functions",
	journal = CMPSM,
	volume = 31,
	year = 1975,
	pages = "115-118"}

@article{Scourfield:1964,
	key = "Scourfield 1964",
	author = "E. Scourfield",
	title = "On the divisibility of $\sigma_\nu (n)$",
	journal = AA,
	volume = 10,
	year = 1964,
	pages = "245-285"}

@article{KWilliams:1974,
	key = "K. Williams 1974",
	author = "K. S. Williams",
	title = "Mertens' theorem for arithmetic progressions",
	journal = JNT,
	volume = 6,
	year = 1974,
	pages = "353-359"}

@book{Mitrinovic&Popadic:1978,
	key = "Mitrinovi{\'c} and Popadi{\'c} 1978",
	author = "D. S. Mitrinovi{\'c} and M. S. Popadi{\'c}",
	title = "Inequalities in Number Theory",
	publisher = "University of Ni{\'s}",
	address = "Ni{\'s}",
	year = 1978}

@article{Renyi&Turan:1958,
	key = "R{\'e}nyi and Tur{\'a}n 1958",
	author = "A. R{\'e}nyi and P. Tur{\'a}n",
	title = "On a theorem of {Erd{\H{o}}s-Kac}",
	journal = AA,
	volume = 4,
	year = 1958,
	pages = "71-84"}

@article{Brown&Zassenhaus:1971,
	key = "Brown and Zassenhaus 1971",
	author = "H. Brown and H. Zassenhaus",
	title = "Some empirical observations on primitive roots",
	journal = JNT,
	volume = 3,
	year = 1971,
	pages = "306-309"}

@article{Suryanarayana:1974,
	key = "Suryanarayana 1974",
	author = "D. Suryanarayana",
	title = "On {$\Delta(x,n) = \varphi(x,n) - x\varphi(n)/n$}",
	journal = PAMS,
	volume = 44,
	year = 1974,
	pages = "17-21"}

@article{Kolesnik&Straus:1978,
	key = "Kolesnik and Straus 1978",
	author = "G. Kolesnik and E. G. Straus",
	title = "On the first occurrence of values of a character", 
	journal = TAMS,
	volume = 246,
	year = 1978,
	pages = "385-394"}

@article{Weintraub:1981,
	key = "Weintraub 1981",
	author = "S. Weintraub",
	title = "A large prime gap",
	journal = MC,
	volume = 36,
	year = 1981,
	pages = "279"}

@article{Western:1934,
	key = "Western 1934",
	author = "A. E. Western",
	title = "Note on the magnitude of the difference between successive
primes",
	journal = JLMS,
	volume = 9,
	year = 1934,
	pages = "276-278"}

@article{Cadwell:1971,
	key = "Cadwell 1971",
	author = "H. Cadwell",
	title = "Large intervals between consecutive primes",
	journal = MC,
	volume = 25,
	year = 1971,
	pages = "909-913"}

@article{Shanks:1961,
	key = "Shanks 1961",
	author = "D. Shanks",
	title = "On numbers of the form $n^4 + 1$",
	journal = MC,
	volume = 15,
	year = 1961,
	pages = "186-189",
	note = "Corrigendum in {\bf 16} (1962), 513"}

@inproceedings{Boyar&Friedl&Lund:1990,
	key = "Boyar, Friedl, and Lund 1990",
	author = "J. Boyar and K. Friedl and C. Lund",
	title = "Practical zero-knowledge proofs: giving hints and using
deficiencies",
	booktitle = EUROCRYPT89,
	editor = "J.-J. Quisquater and J. Vendewalle",
	publisher = SV,
	pages = "155-172",
	year = 1990}

@book{Vardi:1991,
	key = "Vardi 1991",
	author = "I. Vardi",
	title = "Computational Recreations in Mathematica",
	publisher = AW,
	year = 1991}

@article{Turan:1936,
	key = "Tur{\'a}n 1936",
	author = "Tur{\'a}n, P.",
	title = "{\"U}ber die {P}rimzahlen der arithmetischen
		{P}rogression",
	journal = ACTASM,
	volume = 8,
	year = 1939,
	pages = "187-192"
	}

@article{Rumely:1993,
	key = "Rumely 1993",
	author = "R. Rumely",
	title = "Numerical computations concerning the {ERH}",
	journal = MC,
	volume = 61,
	year = 1993,
	pages = "415-440"}

@incollection{Weil:1989,
	key = "Weil 1989",
	author = "A. Weil",
	title = "Prehistory of the zeta-function",
	booktitle = "Number Theory, Trace Formulas, and Discrete Groups:
Symposium in Honor of Atle Selberg",
	editor = "K. E. Aubert and E. Bombieri and D. Goldfeld",
	publisher = AP,
	pages = "1-9",
	year = 1989}

@incollection{Bombieri:1989,
	key = "Bombieri 1989",
	author = "E. Bombieri",
	title = "Selberg's sieve and its applications",
	booktitle = "Number Theory, Trace Formulas, and Discrete Groups:
Symposium in Honor of Atle Selberg",
	editor = "K. E. Aubert and E. Bombieri and D. Goldfeld",
	publisher = AP,
	pages = "29-48",
	year = 1989}

@incollection{Montgomery:1989,
	key = "H. Montgomery 1989",
	author = "H. L. Montgomery",
	title = "Selberg's work on the zeta-function",
	booktitle = "Number Theory, Trace Formulas, and Discrete Groups:
Symposium in Honor of Atle Selberg",
	editor = "K. E. Aubert and E. Bombieri and D. Goldfeld",
	publisher = AP,
	pages = "157-168",
	year = 1989}

@article{Vinogradov:1918,
	key = "I. Vinogradov 1918",
	author = "I. M. Vinogradov",
	title = "On the distribution of power residues and non-residues",
	journal = "Zhurnal Fiz. Mat. Obshchestva pri Permskom Universitet",
	volume = 1,
	year = "1918",
	pages = "94-98",
	note = "In Russian.  English translation in 
	        {\em Selected Works}, pp. 53--56"}

@article{Shanks:1965,
	key = "Shanks 1965",
	author = "D. Shanks",
	title = "Review of {F. Gruenberger} and {G. Armerding}, {Statistics}
on the {First} {Six} {Million} {Prime} {Numbers}",
	journal = MC,
	volume = 19,
	year = "1965",
	pages = "503-505"}

@inproceedings{Jutila:1981,
	key = "Jutila 1981",
	author = "M. Jutila",
	title = "Distribution of primes in intervals and arithmetic 
progressions",
	booktitle = "Proc. 18th Scandinavian Congress of Mathematicians",
	editor = "E. Balslev",
	publisher = BB,
	pages = "373-385",
	year = 1981}

@incollection{Gallagher:1973,
	key = "Gallagher 1973",
	author = "P. X. Gallagher",
	title = "The large sieve and probabilistic {G}alois theory",
	booktitle = "Analytic Number Theory",
	editor = "H. G. Diamond",
	series = "Proceedings of Symposia in Pure Mathematics",
	volume = 24,
	year = 1973,
	publisher = AMS,
	pages = "91-101"}

@incollection{Montgomery:1973,
	key = "H. Montgomery 1973",
	author = "H. L. Montgomery",
	title = "The pair correlation of zeroes of the zeta function",
	booktitle = "Analytic Number Theory",
	editor = "H. G. Diamond",
	series = "Proceedings of Symposia in Pure Mathematics",
	volume = 24,
	year = 1973,
	publisher = AMS,
	pages = "213-220"}

@article{Conrey:1989,
	key = "Conrey 1989",
	author = "J. B. Conrey",
	title = "At least two fifths of the zeroes of the {R}iemann
		 zeta function are on the critical line",
	journal = BAMS,
	volume = 20,
	year = 1989,
	pages = "79-81"
	}

@inproceedings{Grimson&Hanson:1977,
	key = "Grimson and Hanson 1977",
	author = "W. E. L. Grimson and D. Hanson",
	title = "Estimates for the product of the primes not exceeding $x$",
	booktitle = "Proc. 7th Manitoba Conference on Numerical Mathematics 
and Computing",
	editor = "D. McCarthy and H. C. Williams",
	publisher = UM,
	pages = "407-416",
	year = 1977,
	note = "( = {\it Congr.\ Numer.} {\bf 20})"}

@article{Gram:1902,
	key = "Gram 1902",
	author = "J.-P. Gram",
	title = "Note sur les z{\'e}ros de la fonction $\zeta(s)$ de {R}iemann",
	journal = OKDVSF,
	year = 1902,
	pages = "1-15",
	note = "Reprinted in {\it Acta Math.} {\bf 27} (1903), 289--304"}
	}

@article{Gram:1895,
	key = "Gram 1895",
	author = "J.-P. Gram",
	title = "Note sur le calcul de la fonction $\zeta(s)$ de {R}iemann",
	journal = OKDVSF,
	year = 1895,
	pages = "303-308"
	}

@article{Backlund:1918,
	key = "Backlund 1918",
	author = "R. J. Backlund",
	title = "{\"U}ber die {N}ullstellen der {R}iemannschen {Z}etafunktion",
	journal = ACTAM,
	volume = 41,
	year = 1918,
	pages = "345-375"
	}

@article{Titchmarsh:1935,
	key = "Titchmarsh 1935",
	author = "E. C. Titchmarsh",
	title = "The zeros of the {R}iemann zeta-function",
	journal = PRSL,
	series = "A",
	volume = 151,
	year = 1935,
	pages = "234-255"
	}

@article{Titchmarsh:1936,
	key = "Titchmarsh 1936",
	author = "E. C. Titchmarsh",
	title = "The zeros of the {R}iemann zeta-function",
	journal = PRSL,
	series = "A",
	volume = 157,
	year = 1936,
	pages = "261-263"
	}

@article{Hutchinson:1925,
	key = "Hutchinson 1925",
	author = "J. I. Hutchinson",
	title = "On the roots of the {R}iemann zeta function",
	journal = TAMS,
	volume = 27,
	year = 1925,
	pages = "49-60"
	}

@article{Brent&van.de.Lune&te.Riele&Winter:1982,
	key = "Brent, van de Lune, and te Riele 1982",
	author = "R. P. Brent and J. van de Lune and H. J. J. te Riele
                  and D. T. Winter",
	title = "On the roots of the {R}iemann zeta function in 
		 the critical strip. {II}",
	journal = MC,
	volume = 39,
	year = 1982,
	pages = "681-688"
	}

@article{Burgess:1964,
	key = "Burgess 1964",
	author = "D. A. Burgess",
	title = "A note on {$L$}-functions",
	journal = JLMS,
	volume = 39,
	year = "1964",
	pages = "103-108"}

@article{Burgess:1963b,
	key = "Burgess 1963b",
	author = "D. A. Burgess",
	title = "On {D}irichlet characters of polynomials",
	journal = PLMS,
	series = 3,
	volume = 13,
	year = "{\noopsort{1963b}}1963",
	pages = "537-548"}

@article{Burgess:1963c,
	key = "Burgess 1963c",
	author = "D. A. Burgess",
	title = "On {C}haracter sums and {$L$}-series. {II}",
	journal = PLMS,
	series = 3,
	volume = 13,
	year = "{\noopsort{1963c}}1963",
	pages = "524-536"}

@article{Burgess:1968,
	key = "Burgess 1968",
	author = "D. A. Burgess",
	title = "A note on character sums of binary quadratic forms",
	journal = JLMS,
	volume = 43,
	year = "1968",
	pages = "271-274"}

@article{Burgess:1988,
	key = "Burgess 1988",
	author = "D. A. Burgess",
	title = "Partial {G}aussian sums",
	journal = BLMS,
	volume = 20,
	year = "1988",
	pages = "589-592"}

@article{Burgess:1989,
	key = "Burgess 1989",
	author = "D. A. Burgess",
	title = "Partial {G}aussian sums {II}",
	journal = BLMS,
	volume = 21,
	year = "1989",
	pages = "153-158"}

@inproceedings{Cobham:1966,
	key = "Cobham 1966",
	author = "A. Cobham",
	title = "The recognition problem for the set of perfect squares",
	booktitle = SWAT66,
	publisher = IEEEPR,
	pages = "78-87",
	year = 1966}

@article{Turan:1950,
	key = "Tur{\'a}n 1950",
	author = "P. Tur{\'a}n",
	title = "Results of number-theory in the {S}oviet {U}nion",
	journal = MLAPOK,
	volume = 1,
	year = "1950",
	pages = "243-267",
	note = "In Hungarian, with English summary"}

@article{Erdos:1961,
	key = "Erd\H{o}s 1961",
	author = "P. Erd\H{o}s",
	title = "Remarks on number theory {I}",
	journal = MLAPOK,
	volume = 12,
	year = "1961",
	pages = "10-17",
	note = "In Hungarian, with English summary"}

@article{Littlewood:1928,
	key = "Littlewood 1928",
	author = "J. E. Littlewood",
	title = "On the class-number of the corpus {$P(\sqrt{-k})$}",
	journal = PLMS,
	series = 2,
	volume = 27,
	year = 1928,
	pages = "358-372",
	note = "Reprinted in {\it Collected Papers}, v.~II, pp.~920--934"}

@techreport{Musser&Rosser&Schoenfeld&Yohe:1969,
	key = "Musser, Rosser, Schoenfeld, and Yohe 1969",
	author = "D. R. Musser and J. B. Rosser and L. Schoenfeld 
                  and J. M. Yohe",
	title = "The {R}iemann zeta-function magnetic tapes",
	institution = "Univ. Wisconsin, Math. Res. Center",
	number = "967",
	year = 1969}

@article{Lehman:1966,
	key = "Lehman 1966",
	author = "R. S. Lehman",
	title = "Separation of zeros of the {R}iemann zeta-function",
	journal = MC,
	volume = 20,
	year = 1966,
	pages = "523-541"}

@article{SJohnson:1965,
	key = "S. Johnson 1965",
	author = "S. M. Johnson",
	title = "An elementary remark on maximal gaps between successive 
		 primes",
	journal = MC,
	volume = 19,
	year = 1965,
	pages = "675-676"}

@article{Jones&Lal&Blundon:1967,
	key = "M. Jones, Lal, and Blundon 1967",
	author = "M. F. Jones and M. Lal and W. J. Blundon",
	title = "Statistics on certain large primes",
	journal = MC,
	volume = 21,
	year = 1967,
	pages = "103-107",
	note = "Corrigenda in {\bf 22} (1968) 474,911"}

@article{Brenner&Brenner:1962,
	key = "Brenner and Brenner 1962",
	author = "C. Brenner and J. L. Brenner",
	title = "The popularity of small integers as primitive roots",
	journal = NM,
	volume = 4,
	year = 1962,
	pages = "336-342"}

@article{Wang:1964,
	key = "Y. Wang 1964",
	author = "Y. Wang",
	title = "Estimation and application of character sums",
	journal = {\it Shuxue Jinzhan},
	volume = 7,
	year = 1964,
	pages = "78-83",
	note = "In Chinese.  Reviewed in {\it Math. Reviews} 
		{\bf 37} (1969), \#5162."}

@article{Heilbronn:1937,
	key = "Heilbronn 1937",
	author = "H. A. Heilbronn",
	title = "On an inequality in the elementary theory of numbers",
	journal = PCPS,
	volume = 33,
	year = 1937,
	pages = "207-209",
	note = "Reprinted in {\it Collected Papers}, pp.~340--342."}

@article{Heilbronn:1958,
	key = "Heilbronn 1958",
	author = "H. A. Heilbronn",
	title = "On the averages of some arithmetical functions of two
		 variables",
	journal = MATH,
	volume = 5,
	year = 1958,
	pages = "1-7",
	note = "Reprinted in {\it Collected Papers}, pp.~432--438."}

@article{Heath-Brown&Goldston:1984,
	key = "Heath-Brown and Goldston 1984",
	author = "D. R. Heath-Brown and D. A. Goldston",
	title = "A note on the differences between consecutive primes",
	journal = MA,
	volume = 266,
	year = 1984,
	pages = "317-320"}

@article{Grosswald:1981,
	key = "Grosswald 1981",
	author = "E. Grosswald",
	title = "On {B}urgess's bound for primitive roots modulo primes
		 and an application to {$\Gamma(p)$}",
	journal = AJM,
	volume = 103,
	year = 1981,
	pages = "1171-1183"}

@article{Piltz:1885,
	key = "Piltz 1885",
	author = "A. Piltz",
	title = "Ueber zahlentheretische {I}nterferenzerscheinungen",
	journal = "Sitzungsbreichte der Jenaischen Gesellschaft f{\"u}r
		   Medicin und Naturwissenschaft",
	volume = 19,
	year = 1885,
	pages = "42-43"}

@incollection{Erdos:1965,
	key = "Erd{\H{o}}s 1965",
	author = "P. Erd{\H{o}}s",
	title = "Some recent advances and current problems in number theory",
	booktitle = "Lectures on Modern Mathematics",
	volume = "III",
	editor = "T. L. Saaty", 
	publisher = "Wiley",
	year = 1965,
	pages = "196-244"}

@incollection{Deshouillers:1979,
	key = "Deshouillers 1979",
	author = "J.-M. Deshouillers",
	title = "Progr{\`e}s r{\'e}cents des petits cribles arithm{\'e}tiques 
		 [d'apr{\`e}s {Chen}, {Iwaniec}, ...]",
	booktitle = "{S\'eminaire Bourbaki vol. 1977/78: Expos{\'e}s 507-524}",
	series = LNIM,
	number = 710,
	publisher = SV,
	year = 1979,
	pages = "248-262"}

@article{Tatuzawa:1950,
	key = "Tatuzawa 1950",
	author = "T. Tatuzawa",
	title = "On the number of the primes in an arithmetic progression",
	journal = JJM,
	volume = 20,
	year = "1950",
	pages = "93-111"}

@article{Iseki:1950,
	key = "Iseki 1950",
	author = "K. Iseki",
	title = "A divisor problem involving prime numbers",
	journal = JJM,
	volume = 20,
	year = "1950",
	pages = "93-111"}

@article{Hall:1974,
	key = "Hall 1974",
	author = "R. R. Hall",
	title = "Halving an estimate obtained from {S}elberg's upper bound
		 method",
	journal = AA,
	volume = 25,
	year = 1974,
	pages = "347-351"}

@inproceedings{Selberg:1947,
	key = "Selberg 1947",
	author = "A. Selberg",
	title = "The zeta-function and the {R}iemann hypothesis",
	booktitle = "C.R. Dixi{\`e}me Congr{\`e}s Math. Scandinaves, 
		     Copenhague, 1946",
	editor = "????",
	publisher = "????",
	pages = "187-200",
	year = 1947,
	note = "Reprinted in {\it Collected Papers}, pp. ???--???" }

@book{Patterson:1988,
	key = "Patterson 1988",
	author = "S. J. Patterson",
	title = "An Introduction to the Theory of the {R}iemann zeta-function",
	publisher = CUP,
	year = 1988}

@article{Brent:1980a,
	key = "Brent 1980a",
	author = "R. P. Brent",
	title = "The first occurrence of certain large prime gaps",
	journal = MC,
	volume = 35,
	year = "{\noopsort{1980a}}1980",
	pages = "1435-1436"}

@article{Selberg:1943,
	key = "Selberg 1943",
	author = "A. Selberg",
	title = "On the normal density of primes in small intervals,
		 and the difference between consecutive primes",
	journal = AMN,
	volume = 47,
	year = 1943,
	pages = "87-105"}

@article{Riesel:1970,
	key = "Riesel 1970",
	author = "H. Riesel",
	title = "Primes forming arithmetic series and clusters of large primes",
	journal = BIT,
	volume = 10,
	year = 1970,
	pages = "333-342"}

@article{Golomb:1981,
	key = "Golomb 1981",
	author = "S. W. Golomb",
	title = "The evidence for {F}ortune's conjecture",
	journal = MM,
	volume = 54,
	year = 1981,
	pages = "209-210"}

@book{Hooley:1976,
	key = "Hooley 1976",
	author = "C. Hooley",
	title = "Applications of Sieve Methods to the Theory of Numbers",
	publisher = CUP,
	year = 1976}

@book{Narkiewicz:1986,
	key = "Narkiewicz 1986",
	author = "W. Narkiewicz",
	title = "Classical Problems in Number Theory",
	publisher = PWN,
	year = 1986}

@book{Narkiewicz:1990,
	key = "Narkiewicz 1990",
	author = "W. Narkiewicz",
	title = "Elementary and Analytic Theory of Algebraic Numbers",
	publisher = SV,
	comment = "second edn.",
	year = 1990}

@article{Wang&Hsieh&Yu:1965,
	key = "Y. Wang, Hsieh, and Yu 1965",
	author = "Y. Wang and S.-K. Hsieh and K.-J. Yu",
	title = "Two results on the distribution of prime numbers",
	journal = {\it Zhongguo Kexue Jishu Daxue Xuebao},
	volume = 1,
	year = 1965,
	pages = "32-38",
	note = "In Chinese.  
                Reviewed in {\it Math.\ Reviews} {\bf 34} (1967), \# 7482"}

@article{Warlimont:1970,
	key = "Warlimont 1970",
	author = "R. Warlimont",
	title = "Eine {B}emerkung zu einem {E}rgebnis von {N.} {G.} de 
		{B}ruijn",
	journal = MMATH,
	volume = 74,
	year = 1970,
	pages = "273-276"}

@book{Ellison:1975,
	key = "Ellison 1975",
	author = "W. J. Ellison",
	title = "Les Nombres Premiers",
	publisher = "Hermann",
	location = "Paris",
	year = 1975}

@article{Young&Potler:1989,
	key = "Young and Potler 1989",
	author = "J. Young and A. Potler",
	title = "First occurrence prime gaps",
	journal = MC,
	volume = 52,
	year = 1989,
	pages = "221-224"}

@incollection{Backlund:1929,
	key = "Backlund 1929",
	author = "R. J. Backlund",
	title = "{\"U}ber die {D}ifferenzen zwischen den {Z}ahlen, 
		 die zu den $n$ ersten {P}rimzahlen teilerfremnd sind",
	booktitle = "Commentationes in Honorem Ernesti Leonardi Lindel{\"o}f",
	year = 1929,
	pages = "3-9",
	comment = "A Discipulis Editae",
	publisher = "Suomalainen Tiedeakatemia",
	note = "( = {\it Ann. Acad. Sci. Fenn.} (A) {\bf 32}. )"}

@article{Murata:1991a,
	key = "Murata 1991a",
	author = "L. Murata",
	title = "On the magnitude of the least prime primitive root",
	journal = JNT,
	volume = 37,
	year = "{\noopsort{1991a}}1991",
	pages = "47-66"}

@article{Murata:1991b,
	key = "Murata 1991b",
	author = "L. Murata",
	title = "On the magnitude of the least primitive root",
	journal = ASTER,
	volume = "198-200",
	year = "{\noopsort{1991b}}1991",
	pages = "253-257"}

@article{Rankin:1938,
	key = "Rankin 1938",
	author = "R. A. Rankin",
	title = "The difference between consecutive prime numbers",
	journal = JLMS,
	volume = 13,
	year = 1938,
	pages = "242-247"}

@article{Glaisher:1878b,
	key = "Glaisher 1878b",
	author = "J. W. L. Glaisher",
	title = "On long successions of composite numbers",
	journal = MESSM,
	volume = 7,
	year = "{\noopsort{1878b}}1878",
	pages = "102-106,171-176"}

@article{Maier:1981,
	key = "Maier 1981",
	author = "H. Maier",
	title = "Chains of large gaps between consecutive primes",
	journal = ADVM,
	volume = 39,
	year = 1981,
	pages = "257-269"}

@article{Maier:1985,
	key = "Maier 1985",
	author = "H. Maier",
	title = "Primes in short intervals",
	journal = MMJ,
	volume = 32,
	year = 1985,
	pages = "221-225"}

@incollection{Stein:1974,
	key = "P. Stein 1974",
	author = "P. Stein",
	title = "Commentary to paper [53]",
	booktitle = "Stanislaw Ulam: Sets, Numbers, and Universes",
	editor = "W. A. Beyer and J. Mycielski and G.-C. Rota",
	year = 1974,
	publisher = MIT,
	pages = "690-695"}

@article{Hildebrand&Maier:1989,
	key = "Hildebrand and Maier 1989",
	author = "A. Hildebrand and H. Maier",
	title = "Irregularities in the distribution of primes in short
		 intervals",
	journal = JFRAM,
	volume = 397,
	year = 1989,
	pages = "162-193"}

@article{Weintraub:1982,
	key = "Weintraub 1982",
	author = "S. Weintraub",
	title = "A prime gap of 682 and a prime arithmetic sequence",
	journal = BIT,
	volume = 22,
	year = 1982,
	pages = "538"}

@article{Heath-Brown:1988,
	key = "Heath-Brown 1988",
	author = "D. R. Heath-Brown",
	title = "Differences between consecutive primes",
	journal = JDMV,
	volume = 90,
	year = 1988,
	pages = "71-89"}

@article{Hoheisel:1930,
	key = "Hoheisel 1930",
	author = "G. Hoheisel",
	title = "Primzahlproleme in der {A}nalysis",
	journal = {\it Situngsberichte der Preussischen Akademie der
		  Wissenschaften},
	comment = "No volume number",
	year = 1930,
	pages = "573,580-588"}

@article{Brent:1974,
	key = "Brent 1974",
	author = "R. P. Brent",
	title = "The distribution of small gaps between successive primes",
	journal = MC,
	volume = 28,
	year = 1974,
	pages = "315-324"}

@article{Stein&Ulam:1967,
	key = "M. Stein and Ulam 1967",
	author = "M. Stein and S. Ulam",
	title = "An observation on the distribution of primes",
	journal = AMM,
	volume = 74,
	year = 1967,
	pages = "43",
	note = "Reprinted in {\it Stanislaw Ulam: Sets, Numbers, and Universes},
		p.~502"}

@incollection{Littlewood:1965,
	key = "Littlewood 1965",
	author = "J. E. Littlewood",
	title = "The {R}iemann {H}ypothesis",
	booktitle = "The Scientist Speculates: An Anthology of
		     Partly-Baked Ideas",
	publisher = "Capricorn Books",
	editor = "I. J. Good",
	address = NY,
	year = 1965,
	pages = "121-122"}

@article{Bach&Huelsbergen:1993,
	key = "Bach and Huelsbergen 1993",
	author = "E. Bach and L. Huelsbergen",
	title = "Statistical evidence for small generating sets",
	journal = MC,
	volume = 61,
	year = 1993,
	pages = "69-82"}

@article{Shapiro:1946,
	key = "Shapiro 1946",
	author = "H. N. Shapiro",
	title = "Some assertions equivalent to the prime number theorem
		 for arithmetic progressions",
	journal = CPAM,
	volume = 2,
	year = 1949,
	pages = "293-308"}

@article{Elliott:1970,
	key = "Elliott 1970",
	author = "P. D. T. A. Elliott",
	title = "The distribution of power residues and certain related
		 results",
	journal = AA,
	volume = 17,
	year = 1970,
	pages = "141-159"}

@article{Balazard&Nicolas&Pomerance&Tenenbaum:1992,
	key = "Balazard, Nicolas, Pomerance, and Tenenbaum 1992",
	author = "M. Balazard and J.-L. Nicolas and C. Pomerance and G. Tenenbaum",
	title = "Grandes {d\'eviations} pour certaines fonctions {arithm\'etiques}",
	journal = JNT,
	volume = 40,
	year = 1992,
	pages = "146-164"}

@article{CohenH&Olivier:1992,
	key = "H. Cohen and Olivier 1992",
	author = "H. Cohen and M. Olivier",
	title = "Calcul des valeurs de la fonction {z\^eta} de {Riemann} en
{multipr\'ecision}",
	journal = CRASP,
	volume = 314,
	year = 1992,
	pages = "427-430"}
	

@article{Terrill&Sweeny:1946,
	key = "Terrill and Sweeny 1946",
	author = "H. M. Terrill and L. Sweeny",
	title = "Two constants connected with the theory of prime
		 numbers",
	journal = JFRANK,
	volume = 239,
	year = 1946,
	pages = "242-243"}

@article{Dickson:1904,
	key = "Dickson 1904",
	author = "L. E. Dickson",
	title = "A new extension of {D}irichlet's theorem on prime
		 numbers",
	journal = MESSM,
	volume = 33,
	year = 1904,
	pages = "155-161"}

@article{McCurley:1984b,
	key = "McCurley 1984b",
	author = "K. S. McCurley",
	title = "Explicit estimates for {$\theta(x;3,l)$} and
		 {$\psi(x;3,l)$}",
	journal = MC,
	volume = 42,
	year = "{\noopsort{1984b}}1984",
	pages = "287-296"}

@article{McCurley:1984c,
	key = "McCurley 1984c",
	author = "K. S. McCurley",
	title = "Explicit zero-free regions for {D}irichlet {$L$}-functions",
	journal = JNT,
	volume = 19,
	year = "{\noopsort{1984c}}1984",
	pages = "7-32"}

@article{Gupta&Ram.Murty:1984,
	key = "Gupta and Ram Murty 1984",
	author = "R. Gupta and {Ram Murty}, M.",
	title = "A remark on {A}rtin's conjecture",
	journal = INVM,
	volume = 78,
	year = 1984,
	pages = "127-130"}

@article{Heath-Brown:1986,
	key = "Heath-Brown 1986",
	author = "D. R. Heath-Brown",
	title = "Artin's conjecture for primitive roots",
	journal = QJMOX,
	series = 2,
	volume = 37,
	year = 1986,
	pages = "27-38"}

@article{Weintraub:1977b,
	key = "Weintraub 1977b",
	author = "S. Weintraub",
	title = "Seventeen primes in arithmetic progression",
	journal = MC,
	volume = 31,
	year = "{\noopsort{1977b}}1977",
	pages = "1030"}

@article{Mayoh:1968,
	key = "Mayoh 1968",
	author = "B. Mayoh",
	title = "The second {G}oldbach conjecture revisited",
	journal = BIT,
	volume = 8,
	year = 1968,
	pages = "128-133"}

@article{Weintraub:1977a,
	key = "Weintraub 1977a",
	author = "S. Weintraub",
	title = "Primes in arithmetic progression",
	journal = BIT,
	volume = 17,
	year = "{\noopsort{1977a}}1977",
	pages = "239-243"}

@article{Pritchard:1983c,
	key = "Pritchard 1983c",
	author = "P. Pritchard",
	title = "Eighteen primes in arithmetic progression",
	journal = MC,
	volume = 41,
	year = "{\noopsort{1983c}}1983",
	pages = "697"}

@article{Pritchard:1985,
	key = "Pritchard 1985",
	author = "P. Pritchard",
	title = "Long arithmetic progressions of primes: some old,
		 some new",
	journal = MC,
	volume = 45,
	year = 1985,
	pages = "263-267"}

@article{Grosswald&Hagis:1979,
	key = "Grosswald and Hagis 1979",
	author = "E. Grosswald and Hagis, Jr., P.",
	title = "Arithmetic progressions consisting only of primes",
	journal = MC,
	volume = 33,
	year = 1979,
	pages = "1343-1352"}

@article{Shanks:1960,
	key = "Shanks 1960",
	author = "D. Shanks",
	title = "A note on {G}aussian twin primes",
	journal = MC,
	volume = 14,
	year = 1960,
	pages = "201-203"}

@article{Shanks:1967,
	key = "Shanks 1967",
	author = "D. Shanks",
	title = "Lal's constant and generalizations",
	journal = MC,
	volume = 21,
	year = 1967,
	pages = "705-707"}

@article{Selfridge:1959,
	key = "Selfridge 1959",
	author = "J. L. Selfridge",
	title = "Review of ``{T}ables concerning the distribution of primes up 
		 to 37 millions,'' by {D}. {H}. {L}ehmer",
	journal = MTAC,
	volume = 13,
	year = 1959,
	pages = "56-57"}

@article{Sexton:1954,
	key = "Sexton 1954",
	author = "C. R. Sexton",
	title = "Counts of twin primes less than 100000",
	journal = MTAC,
	volume = 8,
	year = 1954,
	pages = "47-49",
	note = "Erratum in {\it Anz.\ {\"O}sterreich.\ Akad.\ Wiss.} {\bf 92},
		(1955), 237"}

@article{Briggs:1963,
	key = "Briggs 1963",
	author = "W. E. Briggs",
	title = "Prime-like sequences generated by a sieve process",
	journal = DMJ,
	volume = 30,
	year = 1963,
	pages = "297-311"}

@article{Erdos&Jabotinsky:1958,
	key = "Erd\H{o}s and Jabotinsky 1958",
	author = "P. Erd\H{o}s and E. Jabotinsky",
	title = "On sequences of integers generated by a sieving process",
	journal = PKNAW,
	volume = 41,
	year = 1958,
	pages = "115-128",
	note = "(= {\it Indag.\ Math.} {\bf 20})"}

@article{Elliott:1969,
	key = "Elliott 1969",
	author = "P. D. T. A. Elliott",
	title = "The distribution of primitive roots",
	journal = CJM,
	volume = 21,
	year = 1969,
	pages = "822-841"}

@article{Bateman&Stemmler:1962,
	key = "Bateman and Stemmler 1962",
	author = "P. T. Bateman and R. M. Stemmler",
	title = "Waring's problem for algebraic number fields and
		 primes of the form {$(p^r-1)/(p^d-1)$}",
	journal = IJM,
	volume = 6,
	year = 1962,
	pages = "142-156"}

@article{Lapidus&Maier:1991,
	key = "Lapidus and Maier 1991",
	author = "M. L. Lapidus and H. Maier",
	title = "Hypoth{\`e}se de {R}iemann, cordes fractales vibrantes et
	 	 conjecture de {W}eyl-{B}erry modifi{\'e}e",
	journal = CRASP,
	series = "I",
	volume = 313,
	year = 1991,
	pages = "19-24"}

@article{Iwaniec:1978,
	key = "Iwaniec 1978",
	author = "H. Iwaniec",
	title = "On the problem of {J}acobsthal",
	journal = DEMOM,
	volume = 11,
	year = 1978,
	pages = "225-231"}

@article{de.Polignac:1849,
	key = "de Polignac 1849",
	author = "Polignac, A. de",
	title = "Six propositions arithmologiques d{\'e}duites du
		 crible d'{{\'E}rathosth{\`e}ne}",
	journal = NAM,
	volume = 8,
	year = 1849,
	pages = "423-429"}

@article{Schinzel:1961,
	key = "Schinzel 1961",
	author = "A. Schinzel",
	title = "Remarks on the paper ``{S}ur certaines hypoth{\`e}ses
		 concernant les nombres premiers''",
	journal = AA,
	volume = 7,
	year = 1961,
	pages = "1-8"}

@article{Schinzel&Sierpinski:1958,
	key = "Schinzel and Sierpi{\'n}ski 1958",
	author = "A. Schinzel and W. Sierpi{\'n}ski",
	title = "Sur certaines hypoth{\`e}ses
		 concernant les nombres premiers",
	journal = AA,
	volume = 4,
	year = 1958,
	pages = "185-208"}

@article{Cody&Hillstrom&Thatcher:1971,
	key = "Cody, Hillstrom, and Thatcher 1971",
	author = "W. J. Cody and K. E. Hillstrom and Thatcher, Jr., H. C.",
	title = "Chebyshev approximations for the {R}iemann zeta function",
	journal = MC,
	volume = 25,
	year = 1971,
	pages = "537-538"}

@article{Brent:1975,
	key = "Brent 1975",
	author = "R. P. Brent",
	title = "Irregularities in the distribution of primes and twin primes",
	journal = MC,
	volume = 29,
	year = 1975,
	pages = "43-56",
	note = "Corrigenda in {\bf 30} (1976), 198"}

@article{SmithHF:1956,
	key = "H. F. Smith 1956",
	author = "H. F. Smith",
	title = "On a generalization of the prime pair problem",
	journal = MTAC,
	volume = 11,
	year = 1956,
	pages = "249-254"}

@book{Halberstam&Richert:1974,
	key = "Halberstam and Richert 1974",
	author = "H. Halberstam and H.-E. Richert",
	title = "Sieve Methods",
	publisher = AP,
	address = "London",
	year = 1974}

@book{Wang:1984,
	key = "Y. Wang 1984",
	editor = "Y. Wang",
	title = "Goldbach Conjecture",
	publisher = WS,
	address = "Singapore",
	year = 1984}

@article{Heath-Brown:1983,
	key = "Heath-Brown 1983",
	author = "D. R. Heath-Brown",
	title = "Prime twins and {S}iegel zeros",
	journal = PLMS,
	series = 3,
	volume = 47,
	year = 1983,
	pages = "193-224"}

@article{Crandall&Penk:1979,
	key = "Crandall and Penk 1979",
	author = "R. E. Crandall and M. A. Penk",
	title = "A search for large twin prime pairs",
	journal = MC,
	volume = 33,
	year = 1979,
	pages = "383-388"}

@article{Western:1922,
	key = "Western 1922",
	author = "A. E. Western",
	title = "Note on the number of primes of the form {$n^2+1$}",
	journal = PCPS,
	volume = 21,
	year = 1922,
	pages = "108-109"}

@article{Lal:1967,
	key = "Lal 1967",
	author = "M. Lal",
	title = "Primes of the form $n^4 + 1$",
	journal = MC,
	volume = 21,
	year = 1967,
	pages = "245-257"}

@article{Brun:1919,
	key = "Brun 1919",
	author = "V. Brun",
	title = "La serie 1/5 + 1/7 + [etc.] o{\`u} les denominateurs
		 sont ``nombres premiers jumeaux'' est convergente
		 ou finie",
	journal = BSM,
	volume = 43,
	year = 1919,
	pages = "100-104,124-128"}

@article{Bohr&Cramer:1923,
	key = "Bohr and Cram{\'e}r 1923",
	author = "H. Bohr and H. Cram{\'e}r",
	title = "Die neuere {E}ntwicklung der analytischen {Z}ahlentheorie",
	journal = "Encyklop{\"a}die der Mathematischen Wissenschaften",
	volume = "II C 8",
	year = 1923,
	pages = "722-849",
	note = "Reprinted in {Cram{\'e}r}, {\it Collected Works}, Vol.\ I,
pp.~289--416"}

@article{Brun:1920,
	key = "Brun 1920",
	author = "V. Brun",
	title = "Le crible {d'Eratosth{\`e}ne} et le th\'eor{\`e}me de 
                 {G}oldbach",
	journal = "Videnskapsselskaptes Skrifter, Mat. Naturv. Klasse. 
	           (Kristiania)",
	volume = 1,
	number = 3,
	year = 1920,
	pages = "1-36"}

@article{Bohman:1973,
	key = "Bohman 1973",
	author = "J. Bohman",
	title = "Some computational results regarding the prime numbers
		 below 2,000,000,000",
	journal = BIT,
	volume = 13,
	year = 1973,
	pages = "242-244",
	note = "Errata in {\bf 14} (1974), 127"}

@article{Fruchtl:1950,
	key = "Fr{\"u}chtl 1950",
	author = "K. Fr{\"u}chtl",
	title = "Statistische {U}ntersuchung {\"uber} die {V}erteilung
		 von {P}rimzahl-{Z}willingen",
	journal = AOAW,
	volume = 87,
	year = 1950,
	pages = "226-232"}

@article{Sexton:1955,
	key = "Sexton 1955",
	author = "C. R. Sexton",
	title = "{A}bz{\"a}hlung von `{V}ierlingen' von 1,000.000 
		 bis 2,000.000",
	journal = AOAW,
	volume = 92,
	year = 1955,
	pages = "236-239"}

@article{Golobew:1972a,
	key = "Golobew 1972a",
	author = "W. A. Golobew",
	title = "{A}bz{\"a}hlung von `{V}ierlingen -- {N}eunlingen' bis 
		  20 000 000",
	journal = AOAW,
	volume = 108,
	year = "{\noopsort{1972a}}1972",
	pages = "19-22",
	note = "Also see 
	       {\bf 93} (1956) 153-157; 
	       {\bf 94} (1957) 82-87,274-280; 
	       {\bf 96} (1959) 227-232."}

@article{Golobew:1972b,
	key = "Golobew 1972b",
	author = "W. A. Golobew",
	title = "Faktorisation der {Z}ahlen der {F}orm {$x^4 + x^2 + 41$}. 
		 {P}erfekte {M}agische {Q}uadrate",
	journal = AOAW,
	volume = 108,
	year = "{\noopsort{1972b}}1972",
	pages = "152-155",
	note = "For 101 similar papers, see 
	{\bf 95} (1958) 9-13,168-172;
	{\bf 96} (1959) 126-129;
	{\bf 97} (1960) 39-44,312-323;
	{\bf 98} (1961) 59-63,165-171;
	{\bf 99} (1962) 33-37,150-160,181-192,270-282;
	{\bf 100} (1963) 55-68,103-121,237-256,292-308;
	{\bf 101} (1964) 117-128,135-143,159-177,289-303,
                         318-329,374-386,440-450;
	{\bf 102} (1965) 12-26,61-67,113-128,297-300;
	{\bf 103} (1966) 15-22,25-66,169-188,197-215,289-301;
	{\bf 104} (1967) 6-22,70-83,101-115,160-166,
                         184-186,235-249,281-306,347-378,387-399;
	{\bf 105} (1968) 17-30,69-85,123-128,182-211,261-283,296-321;
	{\bf 106} (1969) 13-28,46-65,125-195,297-301;
	{\bf 107} (1970) 106-122,223-227;
	{\bf 108} (1971) 93-96."
		}

@article{Karst&Root:1973,
	key = "Karst and Root 1973",
	author = "E. Karst and S. C. Root",
	title = "Teilfolgen von {P}rimzahlen in arithmetischer {P}rogression",
	journal = AOAW,
	volume = 109,
	year = 1973,
	pages = "19-20"}

@article{Root&Karst:1973,
	key = "Root and Karst 1973",
	author = "S. C. Root and E. Karst",
	title = "Mehr {T}eilfolgen von {P}rimzahlen in arithmetischer 
		{P}rogression",
	journal = AOAW,
	volume = 109,
	year = 1973,
	pages = "178-179"}

@article{Karst:1969,
	key = "Karst 1969",
	author = "E. Karst",
	title = "12 to 16 primes in arithmetical progression",
	journal = JRM,
	volume = 2,
	year = 1969,
	pages = "214-215"}

@article{Karst:1970,
	key = "Karst 1970",
	author = "E. Karst",
	title = "Lists of ten or more primes in arithmetical progression",
	journal = SM,
	volume = 28,
	year = 1970,
	pages = "313-317"}

@article{Stackel:1916,
	key = "St{\"a}ckel 1916",
	author = "P. St{\"a}ckel",
	title = "Die {D}arstellung der geraden {Z}ahlen als {S}ummen
		 von zwei {P}rimzahlen",
	journal = SHAS,
	volume = "7A",
	number = 10,
	year = 1916,
	pages = "1-47"}

@article{Lehmer:1965,
	key = "D. H. Lehmer 1965",
	author = "D. H. Lehmer",
	title = "On certain chains of primes",
	journal = PLMS,
	volume = 14,
	year = 1965,
	pages = "183-186"}

@article{Bouniakowsky:1857,
	key = "Bouniakowsky 1857",
	author = "V. Bouniakowsky",
	title = "Sur les diviseurs num{\'e}riques invariables des
		 fonctions rationnelles enti{\`e}res",
	journal = MPETE,
	series = 6,
	volume = 6,
	year = 1857,
	pages = "305-329"}

@article{Glaisher:1878c,
	key = "Glaisher 1878c",
	author = "J. W. L. Glaisher",
	title = "An enumeration of prime-pairs",
	journal = MM,
	volume = 8,
	year = "{\noopsort{1878c}}1878",
	pages = "28-33"}

@book{Hardy:1940b,
	key = "G. Hardy 1940b",
	author = "G. H. Hardy",
	title = "Ramanujan: Twelve Lectures on Subjects
Suggested by his Life and Work",
	year = "{\noopsort{1940b}}1940",
	publisher = CUP }

@article{Moroz:1961,
	key = "Moroz 1961",
	author = "B. Z. Moroz",
	title = "The distribution of power residues and non-residues",
	journal = {\it Vestnik Leningrad Univ. Math.},
	volume = 16,
	year = 1961,
	pages = "164-169",
	note = "In Russian, with English summary."}

@inproceedings{Damgard:1990,
	key = "Damg{\aa}rd 1990",
	author = "I. B. Damg{\aa}rd",
	title = "On the randomness of {L}egendre and {J}acobi sequences",
	booktitle = CRYPTO88,
	publisher = SV,
	pages = "162-173",
	series = LNICS,
	editor = "S. Goldwasser",
	number = 403,
	year = 1990}

@book{Artin:1965,
	key = "Artin 1965",
	author = "E. Artin",
	title = "The Collected Papers of Emil Artin",
	year = 1965,
	publisher = AW}

@article{Golubev:1956,
	key = "Golubev 1956",
	author = "V. A. Golubev",
	title = "G{\'e}n{\'e}ralisations du th{\'e}or{\`e}me de {D}irichlet 
		 sur les nombres premiers",
	journal = "Mathesis",
	volume = 65,
	year = 1956,
	pages = "186-187"}

@article{Rosser:1949,
	key = "Rosser 1949",
	author = "J. B. Rosser",
	title = "Real roots of {D}irichlet {$L$}-series",
	journal = BAMS,
	volume = 55,
	year = 1949,
	pages = "906-913"}

@article{Rosser:1950,
	key = "Rosser 1950",
	author = "J. B. Rosser",
	title = "Real roots of real {D}irichlet {$L$}-series",
	journal = JRNBS,
	volume = 45,
	year = 1950,
	pages = "505-514"}

@article{Purdy&Terras&Terras&Williams:1979,
	key = "G. Purdy, Terras, Terras, and Williams 1979",
	author = "G. Purdy and R. Terras and A. Terras and H. Williams",
	title = "Graphing {$L$}-functions of {K}ronecker symbols in the
		 real part of the critical strip",
	journal = MSTUD,
	volume = 47,
	year = 1979,
	pages = "101-131"}


@article{Gram:1884,
	key = "Gram 1884",
	author = "J.-P. Gram",
	comment = "given as J. P. (no hyphen)",
	title = "Unders{\o}gelser angaaende {M}{\ae}ngden af {P}rimtal under
		 en given {G}r{\ae}nse",
	journal = KDVSS,
	series = 6,
	volume = 2,
	year = 1884,
	pages = "183-308",
	note = "In Danish, with French summary."}

@unpublished{Moran&Pritchard:1991,
	key = "Moran and Pritchard 1991",
	author = "A. Moran and P. Pritchard",
	title = "There is an arithmetic progression of 21 primes",
	year = 1991,
	note = "Unpublished manuscript"}

@article{Pritchard&Moran&Thyssen:1995,
	key = "Pritchard, Moran, and Thyssen 1995",
	author = "P. Pritchard and A. Moran and A. Thyssen",
	title = "Twenty-two primes in arithmetic progression",
	journal = MC,
	volume = 64,
	year = 1995,
	pages = "1337-1339"}

@article{Loh:1989,
	key = "L{\"o}h 1989",
	author = "G. L{\"o}h",
	title = "Long chains of nearly doubled primes",
	journal = MC,
	volume = 53,
	year = 1989,
	pages = "751-759"}

@article{Bohman&Froberg:1988,
	key = "Bohman and Fr{\"o}berg 1988",
	author = "J. Bohman and C.-E. Fr{\"o}berg",
	title = "The {S}tieltjes function -- definition and properties",
	journal = MC,
	volume = 51,
	year = 1988,
	pages = "281-289"}

@article{GoldsteinL:1973,
	key = "L. Goldstein 1973",
	author = "L. J. Goldstein",
	title = "A history of the prime number theorem",
	journal = AMM,
	volume = 80,
	year = 1973,
	pages = "599-615",
	note = "Corrigendum in {\bf 80} (1973), 1115."}

@book{Nielsen:1906,
	key = "Nielsen 1906",
	author = "N. Nielsen",
	title = "Theorie des {I}ntegrallogarithmus und 
		 verwandter {T}ranszendenten",
	publisher = "Teubner",
	address = "Leipzig",
	year = 1906,
	note = "Reprinted by Chelsea, New York, 1965." }

@book{Kac:1959,
	key = "Kac 1959",
	author = "M. Kac",
	title = "Statistical Independence in Probability, Analysis,
		 and Number Theory",
	publisher = MAA,
	year = 1959}

@book{Elliott:1979,
	key = "Elliott 1979",
	author = "P. D. T. A. Elliott",
	title = "Probabilistic Number Theory I: Mean-Value Theorems",
	publisher = SV,
	series = "Grundlehren der mathematischen {W}issenschaften",
	number = 239,
	year = 1979}

@book{Elliott:1980,
	key = "Elliott 1980",
	author = "P. D. T. A. Elliott",
	title = "Probabilistic Number Theory II: Central Limit Theorems",
	publisher = SV,
	series = "Grundlehren der mathematischen {W}issenschaften",
	number = 240,
	year = 1980}

@article{Cody&Thatcher:1969,
	key = "Cody and Thatcher 1969",
	author = "Cody, W. J. and Thatcher, Jr., H. C.",
	title = "Chebyshev approximations for the exponential integral
		 {Ei($x$)}",
	journal = MC,
	volume = 23,
	year = 1969,
	pages = "289-338"}

@inproceedings{Levy:1949,
	key = "L{\'e}vy 1949",
	author = "P. L{\'e}vy",
	title = "Arithm{\'e}tique et calcul des probabilit{\'e}s",
	booktitle = "Congr. Intern. Phil. Sci.",
	pages = "125-133",
	year = 1949,
	note = "Reprinted in {\it Oeuvres}, Vol.~VI, pp.~317--325"}

@article{Cesaro:1894,
	key = "Ces{\`a}ro 1894",
	author = "E. Ces{\`a}ro",
	title = "Sur une formule empirique de {M.} {Pervouchine}",
	journal = CRASP,
	volume = 119,
	year = 1894,
	pages = "848-849",
	note = "Reprinted in {\it Opere Scelte I}, Vol.~2, pp.~417--418"}

@article{Shlesinger:1986,
	key = "Shlesinger 1986",
	author = "M. F. Shlesinger",
	title = "On the {R}iemann hypothesis: a fractal random walk approach",
	journal = "Physica A",
	volume = 138,
	year = 1986,
	pages = "310-319"}

@article{Jaeschke:1993,
	key = "Jaeschke 1993",
	author = "G. Jaeschke",
	title = "On strong pseudoprimes to several bases",
	year = 1993,
	journal = MC,
	volume = 61,
	pages = "915-926"}

@article{Lou&Yao:1992,
	key = "Lou and Yao 1992",
	author = "S. Lou and Q. Yao",
	title = "A {Chebychev's} type of prime number theorem in a short
	         interval -- {II}",
	journal = "Hardy-Ramanujan Journal",
	volume = 15,
	year = 1992,
	pages = "2-33"}

@article{Hahn:1992,
	key = "Hahn 1992",
	author = "S. G. Hahn",
	title = "On {Mirimanoff} type congruences",
	journal = JNT,
	volume = 41,
	year = 1992,
	pages = "167-171"}

@article{Weintraub:1991,
	key = "Weintraub 1991",
	author = "S. Weintraub",
	title = "A prime gap of 784",
	journal = JRM,
	volume = 23,
	year = 1991,
	pages = "6-7"}

@article{Weintraub:1993,
	key = "Weintraub 1993",
	author = "S. Weintraub",
	title = "A prime gap of 864",
	journal = JRM,
	volume = 25,
	year = 1993,
	pages = "42-43"}

@article{Mozzochi:1986,
	key = "Mozzochi 1986",
	author = "C. J. Mozzochi",
	title = "On the difference between consecutive primes",
	journal = JNT,
	volume = 24,
	year = 1986,
	pages = "181-187"}

@unpublished{Hunter&Sorenson:1994,
	key = "Hunter and Sorenson 1994",
	author = "S. Hunter and J. Sorenson",
	title = "Approximating the number of integers free of large
prime factors",
	note = "Unpublished manuscript",
	year = 1994}

@phdthesis{Moree:1993,
	key = "Moree 1993",
	author = "P. Moree",
	title = "Psixyology and Diophantine equations",
	school = "University of Leiden, Netherlands",
	year = 1993}

@article{Hildebrand&Tenenbaum:1993,
	key = "Hildebrand and Tenenbaum 1993",
	author = "A. Hildebrand and G. Tenenbaum",
	title = "Integers without large prime factors",
	journal = JTNB,
	volume = 5,
	year = 1993,
	pages = "411-484"}

@article{Fillebrown:1992,
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@article{Sinisalo:1993,
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	pages = "931-934"}

@incollection{Heath-Brown:1990,
	key = "Heath-Brown 1990",
	author = "D. R. Heath-Brown",
	title = "The difference between consecutive primes, {IV}",
	booktitle = "A Tribute to Paul {Erd{\H{o}}s}",
	editor = "A. Baker and B. {Bollob\'as} and A. Hajnal",
	publisher = CUP,
	year = 1990,
	pages = "277-287"}

@article{Moree:1993b,
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	year = 1993,
	pages = "35-43"}

@techreport{Ramare&Rumely:1994,
	key = "{Ramar\'e} and Rumely 1994",
	author = "O. {Ramar\'e} and R. Rumely",
	title = "Primes in arithmetic progressions",
	institution = "University of Georgia Mathematics Preprint Series",
	number = 14,
	year = 1994}

@article{Ennola:1969,
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	author = "V. Ennola",
	title = "On numbers with small prime divisors",
	journal = AASF,
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	year = 1969,
	pages = "1-16"}

@article{Kalecki:1964,
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	author = "M. Kalecki",
	title = "O pewnych sumach rozci\c{a}gni\c{e}tych na liczby
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	note = "In Polish; English summary"}

@article{Granville:1993,
	key = "Granville 1993",
	author = "A. Granville",
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progressions. {II}",
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	year = 1993,
	pages = "349-362"}

@article{Friedlander&Granville:1993,
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	year = 1993,
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@article{Tenenbaum:1993,
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	year = 1993,
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@article{Sweeney:1963,
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	year = 1963,
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@article{Brent:1977,
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	author = "R. P. Brent",
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	year = 1977,
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@article{Beyer&Waterman:1974,
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	author = "W. A. Beyer and M. S. Waterman",
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@article{Wunderlich:1976,
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@article{Wunderlich:1974,
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@article{Glaisher:1879,
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@inproceedings{Deheuvels:1985,
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	year = 1985}

@inproceedings{Iosifescu:1985,
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	author = "M. Iosifescu",
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	year = 1985}

@incollection{Uppuluri:1976,
	key = "Uppuluri 1976",
	author = "V. R. R. Uppuluri",
	title = "Prime numbers treated as a {M}arkov chain",
	booktitle = "Essays in Probability and Statistics: A Volume
		     in Honor of Professor Junjiro Ogawa",
	publisher = "Shinko Tsusho",
	address = "Tokyo",
	year = 1976,
	pages = "645-650"}

@article{Ricci:1954,
	key = "Ricci 1954",
	author = "G. Ricci",
	title = "Sul pennello di quasi-asintoticit{\` a} della differenza
di interi primi consecutivi",
	journal = AANL,
	volume = 17,
	year = 1954,
	pages = "192-351"}

@article{Stackel:1917,
	key = "St{\"a}ckel 1917",
	author = "P. St{\"a}ckel",
	title = "Die {L\" u}ckenzahlen $r$-ter {S}tufe und die
                 {D}arstellung der geraden {Z}ahlen als {S}ummen
		 und {D}ifferenzen ungerader {P}rimzahlen. I.",
	journal = SHAS,
	year = 1917,
	pages = "3-52"}

@article{Stackel:1918a,
	key = "St{\"a}ckel 1918a",
	author = "P. St{\"a}ckel",
	title = "Die {L\" u}ckenzahlen $r$-ter {S}tufe und die
                 {D}arstellung der geraden {Z}ahlen als {S}ummen
		 und {D}ifferenzen ungerader {P}rimzahlen. II.",
	journal = SHAS,
	year = "{\noopsort 1918a}1918",
	pages = "3-48"}

@article{Stackel:1918b,
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	author = "P. St{\"a}ckel",
	title = "Die {L\" u}ckenzahlen $r$-ter {S}tufe und die
                 {D}arstellung der geraden {Z}ahlen als {S}ummen
		 und {D}ifferenzen ungerader {P}rimzahlen. II.",
	journal = SHAS,
	year = "{\noopsort 1918b}1918",
	pages = "3-67"}

@inproceedings{AMCohen:1988,
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	author = "A. M. Cohen",
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	pages = "15-29"}

@techreport{Rosser:1972,
	key = "Rosser 1972",
	author = "J. B. Rosser",
	title = "Bounds for some coefficients related to the zeta function",
	institution = "U. Wisconsin, Math. Res. Center",
	number = "No. 970",
	month = "July",
	year = 1972}

@article{Landau:1903a,
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	title = "{\" U}ber den {V}erlauf der zahlentheoretischer {F}unktion
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	year = "{\noopsort{1903a}}1903",
	pages = "86-91",
	note = "Reprinted in {\em Collected Works,} Vol.\ 1, pp.~378--383"}

@article{Bombieri:1965,
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	pages = "201-225"
	}

@article{Siegel:1935,
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	volume = 1,
	year = 1935,
	pages = "83-86",
	note = "Reprinted in {\em Gesammelte Abhandlungen,} Vol.\ 1, 
	pp.~406--409"}

@article{Cohen&Odoni&Strothers:1974,
	key = "S. Cohen, Odoni and Strothers 1974",
	author = "S. D. Cohen and R. W. Odoni and W. W. Strothers",
	title = "On the least primitive root modulo {$p^2$}",
	journal = BLMS,
	volume = 6,
	year = 1974,
	pages = "42-46"}

@article{Ram.Murty:1988,
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	pages = "59-67"}

@article{Bach&Sorenson:1994,
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	author = "E. Bach and J. Sorenson",
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	year = 1994,
	pages = "535-539"}

@article{Sylvester:1888,
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	author = "J. J. Sylvester",
	title = "On certain inequalities relating to prime numbers",
	journal = NATURE,
	volume = 38,
	year = 1888,
	pages = "259-262",
	note = "Reprinted in {\it Collected Mathematical Papers}, Vol.~4, 
        pp.~592--603"}
	}

@article{Cipolla:1902,
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	author = "M. Cipolla",
	title = "La determinazione assintotica {dell'$n^{imo}$}
		 numero primo",
	journal = RNAPOLI,
	volume = 8,
	year = 1902,
	pages = "132-166"}

@unpublished{Bach:1995,
	key = "Bach 1995",
	author = "E. Bach",
	title = "Comments on search procedures for primitive roots",
	year = "1995",
	note = "To appear, {\it Math.\ Comp.}"}

@techreport{Bach&Giesbrecht&McInnes:1991,
	key = "Bach, Giesbrecht, and McInnes 1991",
	author = "E. Bach and M. Giesbrecht and J. McInnes",
	title = "The complexity of number theoretic problems",
	institution = "Dept. Computer Science, Univ. Toronto",
	number = "No. 247/91",
	month = "January",
	year = 1991}

@article{Schweber:1986,
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	title = "Feynman and the visualization of space-time processes",
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@incollection{Pervushin:1898,
	key = "Pervushin 1898",
	author = "J. {\noopsort{Pervushin}}Pervouchine",
	title = "Formules pour la d{\'e}termination approximative
	des nombres premiers, de leur somme et de leur 
	diff{\'e}rence d'apr{\`e}s le num{\'e}ro de ces nombres",
	booktitle = "Verhandlungen des ersten internationalen
		     {M}athematiker-{K}ongresses",
	editor = "F. Rudio",
	publisher = "Teubner",
	year = 1898,
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@article{Abel:1823,
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	title = "Oplosning af et par opgaver ved hjelp af bestemte 
		 {I}ntegraler",
	journal = "Magazin for Naturvidenskaberne",
	volume = 2,
	year = 1823,
	pages = "55-68; 205-216",
	note = "French translation in {\it Oeuvres,} Vol.~1, pp.~11--27"}

@book{Sommerfeld:1956,
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	author = "A. Sommerfeld",
	title = "Thermodynamics and Statistical Mechanics",
	publisher = AP,
	address = NY,
	year = 1956}

@article{Landau:1901,
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	author = "E. Landau",
	title = "{\"Uber} einen zahlentheoretischen {Satz}",
	journal = AMP,
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	year = 1901,
	pages = "138-142"
	}

@article{Landau:1903c,
	key = "E. Landau 1903c",
	author = "E. Landau",
	title = "{\" U}ber die {Maximalordnung} der {Permutationen}
		 gegebenen {Grades}",
	journal = AMP,
	volume = 5,
	year = "{\noopsort{1903c}}1903",
	pages = "92-103",
	note = "Reprinted in {\em Collected Works,} Vol.~1, pp.~384--395"}

@article{WMiller:1987,
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	author = "W. Miller",
	title = "The maximum order of an element of a finite symmetric
		 group",
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	pages = "497-506"
	}

@article{Massias&Nicolas&Robin:1988,
	key = "Massias, Nicolas, and Robin 1988",
	author = "J. P. Massias and J. L. Nicolas and G. Robin",
	title = "Evaluation asymptotique de l'ordre maximum d'un
		 {\'el\'ement} du groupe {symm\'etrique}",
	journal = AA,
	volume = 50,
	year = 1988,
	pages = "221-242"
	}

@article{Pomerance:1980,
	key = "Pomerance 1980",
	author = "C. Pomerance",
	title = "A note on the least prime in an arithmetic progression",
	journal = JNT,
	volume = 12,
	year = 1980,
	pages = "218-223"
	}

@article{Wigert:1906,
	key = "Wigert 1906",
	author = "S. Wigert",
	title = "Sur l'ordre de grandeur du nombre des diviseurs d'un entier",
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	volume = 3,
	year = "{\noopsort{1906}}1906--1907",
	number = 18,
	pages = "1-9"
	}

@book{Laplace:1812,
	key = "Laplace 1812",
	author = "P. S. Laplace",
	title = "Th{\'e}orie Analytique des Probabilit{\'e}s",
	publisher = "Courcier",
	address = "Paris",
	year = 1812}

@article{Lander&Parkin:1967b,
	key = "Lander and Parkin 1967b",
	author = "L. J. Lander and T. R. Parkin",
	title = "On first appearance of prime differences",
	journal = MC,
	volume = 21,
	year = "{\noopsort{1967b}}1967",
	pages = "483-488"
	}

@incollection{Davis&Matiyasevich&Robinson:1976,
        key = "M. Davis, Matiyasevich, and Robinson 1976",
        author = "M. Davis and Y. {\noopsort{Matiyasevich}}{Matijasevi\v c} and J. Robinson",
        title = "Hilbert's tenth problem. {D}iophantine equations:
		 positive aspects of a negative solution",
        booktitle = "Mathematical Developments Arising from Hilbert
		     Problems",
        series = "Proceedings of Symposia in Pure Mathematics",
        volume = 28,
        year = 1976,
        publisher = AMS,
        pages = "323-378"}

@inproceedings{Bach:1982,
	key = "Bach 1982",
	author = "E. Bach",
	title = "Fast algorithms under the extended {R}iemann hypothesis:
		 a concrete estimate",
	booktitle = STOC82,
	publisher = "ACM Press",
	year = "1982",
	pages = "290-295"
	}

@article{Erdos&Ulam:1971,
	key = "Erd{\H{o}}s and Ulam 1971",
	author = "P. Erd{\H{o}}s and S. Ulam",
	title = "Some probabilistic remarks on {F}ermat's last theorem",
	journal = RMJM,
	volume = "1",
	year = "1971",
	pages = "613-616"}

@article{Wilf:1987,
	key = "Wilf 1987",
	author = "H. S. Wilf",
	title = "A greeting; and a view of the {R}iemann hypothesis",
	journal = AMM,
	volume = 94,
	year = 1987,
	pages = "3-6"}

@article{Odlyzko:1987a,
	key = "Odlyzko 1987a",
	author = "A. M. Odlyzko",
	title = "On the distribution of spacings between zeros of the
		 zeta function",
	journal = MC,
	volume = 48,
	year = "{\noopsort{1987a}}1987",
	pages = "273-308"}

@article{von.Mangoldt:1905,
	key = "von Mangoldt 1905",
	author = "Mangoldt, H. von",
	title = "Zur verteilung der {N}ullstellen der {R}iemannschen
		 {F}unktion {$\xi(t)$}",
	journal = MA,
	volume = 60,
	year = 1905,
	pages = "1-19"}

@incollection{HMontgomery:1975,
	key = "H. Montgomery 1975",
	author = "H. Montgomery",
	title = "Distribution of the zeros of the {R}iemann zeta function",
	booktitle = ICM74,
	volume = 1,
	pages = "379-381",
	year = 1975}

@unpublished{Bach:1994,
	key = "Bach 1994",
	author = "E. Bach",
	title = "Polynomial-time algorithms for some number-theoretic
		 constants",
	note = "Unpublished manuscript",
	year = "1994"}

@article{HLenstra:1977b,
        key = "H. W. Lenstra 1977b",
        author = "Lenstra, Jr., H. W.",
        title = "On {A}rtin's conjecture and {E}uclid's algorithm in 
		 global fields",
        journal = INVM,
        volume = 42,
	year = "{\noopsort{1977b}}1977",
        pages = "201-224"}

@incollection{HLenstra:1977a,
        key = "H. W. Lenstra 1977a",
        author = "Lenstra, Jr., H. W.",
        title = "{A}rtin's conjecture on primes with prescribed 
		 primitive roots",
        booktitle = "S{\'e}minaire Delange-Pisot-Poitou",
        publisher = SECM,
        address = "Paris",
        year = 1977,
        pages = "14-01 to 14-08"
        }

@article{Kofler:1972,
	key = "Kofler 1972",
	author = "Kofler, J.",
	title = "Mit welcher {W}ahrscheinlichkeit gilt der gro{\ss}e
		 {FERMAT}-{Satz}?",
	journal = PXM,
	volume = 14,
	year = 1972,
	pages = "281-283"}

@article{Polvani:1933,
	key = "Polvani 1933",
	author = "Polvani, G.",
	title = "Sulla frequenza dei numeri primi",
	journal = RMILANO,
	volume = 7,
	year = 1933,
	pages = "303-321"}

@article{Euler:1741,
        key = "Euler 1741",
        author = "L.  Euler",
        title = "Inventio summae cuiusque seriei ex dato termino generali",
        journal = CASP,
        volume = "8 {\rm (1736)}",
        year = 1741,
        pages = "9-22",
        note = "Reprinted in {\em Opera Omnia},
                Series 1, Vol.\ 14, pp.~108--123"}

@article{Hanson:1972,
	key = "Hanson 1972",
	author = "Hanson, D.",
	title = "On the product of the primes",
	journal = CMB,
	volume = 15,
	year = 1972,
	pages = "33-37"}

@article{Landau:1900,
	key = "E. Landau 1900",
	author = "E. Landau",
	title = "Sur quelques probl{\`e}mes relatifs {\`a} la distribution des
		 nombres premiers",
	journal = BSMF,
	volume = 28,
	year = "1900",
	pages = "25-38",
	note = "Reprinted in {\em Collected Works,} Vol.~1, pp.~92--105"}

@article{Landau:1911,
	key = "E. Landau 1911",
	author = "E. Landau",
	title = "{\"Uber} die {V}erteilung der {Z}ahlen, welche aus $\nu$
		 {P}rimfaktoren zusammengesetzt sind",
	journal = GN,
	year = "1911",
	pages = "361-381",
	note = "Reprinted in {\em Collected Works,} Vol.~4, pp.~443--463"}

@article{Cahen:1894,
	key = "E. Cahen 1894",
	author = "E. Cahen",
	title = "Sur la fonction {$\zeta(s)$} de {R}iemann et sur des
		 fonctions analogues",
	journal = ASENS,
	year = "1894",
	volume = 11,
	pages = "75-164"}

@article{Wintner:1941,
	key = "Wintner 1941",
	author = "A. Wintner",
	title = "Statistics and prime numbers",
	journal = NATURE,
	volume = 147,
	year = "1941",
	pages = "208-209"}

@article{Landau:1908,
	key = "E. Landau 1908",
	author = "E. Landau",
	title = "Zwei neue {H}erleitungen {f\"ur} die asymptotische
		 {A}nzahl der {P}rimzahlen unter einer gegebenen {Grenze}",
	journal = SBERLIN,
	year = "1908",
	pages = "746-764",
	note = "Reprinted in {\em Collected Works,} Vol.~4, pp.~21--39"}

@article{Poletti:1929,
	key = "Poletti 1929",
	author = "L. Poletti",
	title = "La serie di numeri primi appartenente alle due forme 
quadratiche {(A)} $n^2+n-1$ {(B)} $n^2+n+1$",
	journal = MLINCEI,
	year = "1929",
	series = 6,
	volume = 3,
	pages = "194-218"}


@unpublished{Baker&Harman:1995,
        key = "Baker and Harman 1995",
        author = "R. C. Baker and G. Harman",
        title = "The difference between consecutive primes",
        year = "1995",
        note = "To appear, {\it Proc. London Math. Soc.}"}