@article{Euler:1732,
	key = "Euler 1732",
	author = "L. Euler",
	title = "Methodus generalis summandi progressiones",
	journal = CASP,
	volume = 6,
	year = 1732,
	pages = "68-97",
	note = "Reprinted in {\it Opera Omnia}, Series 1, Vol. 14, pp. 42--72"}

@article{Euler:1760,
	key = "Euler 1760",
	author = "L. Euler",
	title = "Theoremata arithmetica nova methodo demonstrata",
	journal = NCASP,
	volume = 8,
	year = "1760",
	pages = "74-104",
	note = "Reprinted in Euler [1849], Vol. 1, pp. 274--286; also 
reprinted in {\it Opera Omnia}, Ser. 1, Vol. 2, pp. 531--555"}

@article{Hardy&Littlewood:1914,
	key = "G. Hardy and Littlewood 1914",
	author = "G. H. Hardy and J. E. Littlewood",
	title = "Some problems of {Diophantine} approximation",
	journal = ACTAM,
	volume = 37,
	year = 1914,
	pages = "155-238"}

@book{Landau:1909,
	key = "E. Landau 1909",
	author = "E. Landau",
	title = "Handbuch der Lehre von der Verteilung der Primzahlen",
	publisher = "Teubner",
	address = "Leipzig",
	year = 1909,
	note = "2 volumes.  Reprinted by Chelsea, New York, 1953"
	}

@book{Bachmann:1894,
	key = "Bachmann 1894",
	author = "P. Bachmann",
	title = "Die Analytische Zahlentheorie",
	publisher = "Teubner",
	address = "Leipzig",
	year = 1894}

@book{Dieudonne:1971,
	key = "Dieudonn\'e 1971",
	author = "J. Dieudonn\'e",
	title = "Infinitesimal Calculus",
	publisher = "Hermann",
	address = "Paris",
	year = 1971}

@book{Bourbaki:1951,
	key = "Bourbaki 1951",
	author = "N. Bourbaki",
	title = "Fonctions d'une Variable R\'eelle",
	volume = 12,
	number = 4,
	publisher = "Hermann",
	year = 1951,
	comment = "Full title is: Elements de Mathematique, XII.
		   Premier Partie: Les Structures Fondamentals d L'Analyse.
		   Livre IV: Fonctions d'une Variable Reele (Theorie
		   Elementaire.)"}

@book{Widder:1941,
	key = "Widder 1941",
 	author = "D. V. Widder",
 	title = "The Laplace Transform",
 	publisher = PUP,	
 	year = 1941}

@book{Apostol:1967,
	key = "Apostol 1967",
 	author = "T. M. Apostol",
 	title = "Mathematical Analysis",
 	publisher = AW,	
 	year = 1967}

@book{Iverson:1962,
	key = "Iverson 1962",
	author = "K. E. Iverson",
	title = "A Programming Language",
	publisher = "Wiley",
	year = 1962}

@article{Mobius:1832,
	key = "{M\"obius} 1832",
	author = "A. F. {M\"obius}",
	title = "{\"Uber} eine besondere {Art} von {Umkehrung} der {Reihen}",
	journal = JFRAM,
	volume = 9,
	year = 1832,
	pages = "105-123",
	note = "Reprinted in {\it Werke}, Vol. 4, pp. 589--612"}

@book{Graham&Knuth&Patashnik:1989,
	key = "R. Graham, Knuth, and Patashnik 1989",
	author = "R. L. Graham and D. E. Knuth and O. Patashnik",
	title = "Concrete Mathematics",
	publisher = AW,
	year = 1989}

@article{Dirichlet:1849,
	key = "Dirichlet 1849",
	author = "P. G. L. Dirichlet",
	title = "{\"Uber} die {Bestimmung} der mittleren {Werthe} in der
{Zahlentheorie}",
	journal = "Abhand. Ak. Wiss. Berlin",
	year = 1849,
	pages = "69-83",
	note = "Reprinted in {\it Werke}, Vol. 2, pp. 49--66"}

@article{Dirichlet:1837a,
	key = "Dirichlet 1837a",
	author = "P. G. L. Dirichlet",
	title = "Beweis eines {Satzes} {\"uber} die arithmetische
{Progression}",
	journal = "Bericht Ak. Wiss. Berlin",
	year = 1837,
	pages = "108-110",
	note = "Reprinted in {\it Werke}, Vol. 1, pp. 307--312"}

@article{Dirichlet:1837b,
	key = "Dirichlet 1837b",
	author = "P. G. L. Dirichlet",
	title = "Beweis des {Satzes}, da\ss\ jede unbegrenzte arithmetische
{Progression}, deren erstes {Glied} und {Differenz} ganze {Zahlen} ohne
gemeinschaftlichen {Factor} sind, unendlich viele {Primzahlen} {enth\"alt}",
	journal = "Abhand. Ak. Wiss. Berlin",
	year = "1837-9",
	pages = "45-81",
	note = "Reprinted in {\it Werke}, Vol. 1, pp. 313--342"}

@article{Costa.Pereira:1985,
	key = "Costa Pereira 1985",
	author = "Costa Pereira, N.",
	title = "Estimates for the {Chebyshev} function
$\psi(x) - \theta(x)$",
	journal = MC,
	volume = 44,
	year = 1985,
	pages = "211-221"}

@article{Rosser:1939,
	key = "Rosser 1939",
	author = "J. B. Rosser",
	title = "The $n$-th prime is greater than $n \log n$",
	journal = PLMS,
	volume = 45, 
	year = 1939,
	pages = "21-44"}

@article{Rosser:1941,
	key = "Rosser 1941",
	author = "J. B. Rosser",
	title = "Explicit bounds for some functions of prime numbers",
	journal = AJM,
	volume = 63,
	year = 1941,
	pages = "211-232"}

@article{Landau:1899,
	key = "E. Landau 1899",
	author = "E. Landau",
	title = "Sur la s\'erie des inverses des
nombres de {Fibonacci}",
	journal = "Bull. Soc. Math. France",
	volume = 27,
	year = 1899,
	pages = "298-300"}

@article{Ribenboim:1985,
	key = "Ribenboim 1985",
	author = "P. Ribenboim",
	title = "Representation of real numbers by
means of {Fibonacci} numbers",
	journal = EM,
	volume = 31,
	year = 1985,
	pages = "249-259"}

@article{Simion&Schmidt:1982,
	key = "Simon and Schmidt 1982",
	author = "R. Simion and F. W. Schmidt",
	title = "Elementary Problem 2946",
	journal = AMM,
	volume = 89,
	year = 1982,
	pages = "333"}

@article{Niven:1984,
	key = "Niven 1984",
	author = "I. Niven",
	title = "Solution to Elementary Problem 2946",
	journal = AMM,
	volume = 91,
	year = 1984,
	pages = "650"}

@article{Moser&Kugelmass:1964,
	key = "Moser and Kugelmass 1964",
	author = "L. Moser and J. Kugelmass",
	title = "Solution to Problem 518",
	journal = MM,
	volume = 37,
	year = 1964,
	pages = "57-59"}
	


@article{Vacca:1894,
	key = "Vacca 1894",
	author = "G. Vacca",
	title = "Intorno alla prima dimonstrazione di un
teorema di {Fermat}",
	journal = BM,
	volume = 8,
	year = 1894,
	pages = "46-48"}

@book{Rudin:1964,
	key = "Rudin 1964",
	author = "W. Rudin",
	title = "Principles of Mathematical Analysis",
	publisher = "McGraw-Hill",
	year = 1964}

@article{Vitanyi&Meertens:1984,
	key = "{Vit\'anyi} and Meertens 1984",
	author = "P. M. B. {Vit\'anyi} and L. Meertens",
	title = "Big omega versus the wild functions",
	journal = BEATCS,
	number = 22,
	year = 1984,
	pages = "14-19",
	note = "Also in {\it SIGACT News} {\bf 16} (4) (1985), 56--59"}

@article{Callan:1991,
	key = "Callan 1991",
	author = "D. Callan",
	title = "Solution to problem 1344",
	journal = MM,
	volume = 64,
	year = 1991,
	pages = 134}

@article{Marsh&Edgar:1971,
	key = "Marsh and Edgar 1971",
	author = "D. C. B. Marsh and G. A. Edgar",
	title = "Solution to problem {E 2229}",
	journal = AMM,
	volume = 78,
	year = 1971,
	pages = "299-300"}

@article{Kesava.Menon:1969,
	key = "Kesava Menon 1969",
	author = "{Kesava Menon}, P.",
	title = "A generalization of the relation $[m,n](m,n) = mn$",
	journal = MSTUD,
	volume = 37,
	year = 1969,
	pages = "194-194"}

@book{DavenportH:1983,
	key = "H. Davenport 1983",
	author = "H. Davenport",
	title = "The Higher Arithmetic",
	publisher = "Dover",
	address = NY,
	year = 1983}

@article{Lindemann:1933,
	key = "Lindemann 1933",
	author = "F. A. Lindemann",
	title = "The unique factorization of a positive integer",
	journal = QJM,
	volume = 4,
	year = 1933,
	pages = "319-320"}

@article{Shallit:1991,
	key = "Shallit 1991",
	author = "J. O. Shallit",
	title = "Problem {E 3431}",
	journal = AMM,
	volume = 98,
	year = 1991,
	pages = 264}

@article{Cesaro:1881a,
	key = "{Ces\`aro} 1881a",
	author = "E. {Ces\`aro}",
	title = "{D\'emonstration} {\'el\'ementaire} et {g\'en\'eralisation} de quelques
{th\'eor\`emes} de {M. Berger}",
	journal = "Mathesis",
	volume = 1,
	year = "{\noopsort{1881a}}1881",
	comment = "Not in Opere Scelte",
	pages = "99-102"}

@book{Knuth:1975,
	key = "Knuth 1975",
	author = "D. E. Knuth",
	title = "The Art of Computer Programming.  Volume 1:  Fundamental Algorithms",
	publisher = AW,
	year = 1975,
	note = "2nd edition, 2nd printing"}

@article{Spira:1961,
	key = "Spira 1961",
	author = "R. Spira",
	title = "The complex sum of divisors",
	journal = AMM,
	volume = 68,
	year = 1961,
	pages = "120-124"}

@article{du.Bois.Reymond:1872,
	key = "du Bois-Reymond 1872",
	author = "Bois-Reymond, P. du",
	title = "Th{\'e}or{\`e}me g{\'e}n{\'e}ral concernant la 
		 grandeur relative des infinis des fonctions et de 
		 leurs deriv{\'e}es",
	journal = JFRAM,
	volume = 74,
	year = 1872,
	pages = "294-304"}

@article{du.Bois.Reymond:1870,
	key = "du Bois-Reymond 1870",
	author = "Bois-Reymond, P. du",
	title = "Sur la grandeur relative des infinis des fonctions",
	journal = AMPA,
	series = 2,
	volume = 4,
	year = 1870,
	pages = "338-353"}

@article{du.Bois.Reymond:1879,
	key = "du Bois-Reymond 1879",
	author = "Bois-Reymond, P. du",
	title = "Ueber {I}ntegration und {D}ifferentiation infinit{\"a}rer
		 {R}elationen",
	journal = MA,
	volume = 14,
	year = 1879,
	pages = "498-506"}

@book{Hardy:1910,
	key = "G. Hardy 1910",
	author = "G. H. Hardy",
	title = "Orders of Infinity",
	publisher = CUP,
	year = 1910}

@article{GoldsteinC:1992,
	key = "C. Goldstein 1992",
	author = "C. Goldstein",
	title = "On a seventeenth century version of the ``fundamental theorem of
arithmetic''",
	journal = HM,
	volume = 19,
	year = 1992,
	pages = "177-187"}

@article{Brent&McMillan:1980,
	key = "Brent and McMillan 1980",
	author = "Brent, R. P. and McMillan, E. M.",
	title = "Some new algorithms for high-precision computation
of {Euler's} constant",
	journal = MC,
	volume = 34,
	year = 1980,
	pages = "305-312"}

@book{Jacobson:1974,
	key = "Jacobson 1974",
	author = "N. Jacobson",
	title = "Basic Algebra I",
	publisher = "W. H. Freeman",
	address = "San Francisco",
	year = 1974}

@book{Fraleigh:1976,
	key = "Fraleigh 1976",
	author = "J. B. Fraleigh",
	title = "A First Course in Abstract Algebra",
	publisher = "Addison-Wesley",
	year = 1976}

@article{Boute:1992,
	key = "Boute 1992",
	author = "R. T. Boute",
	title = "The {Euclidean} definition of the functions div and mod",
	journal = TOPLAS,
	volume = 14,
	year = 1992,
	pages = "127-144"}

@article{Fletcher:1991,
	key = "Fletcher 1991",
	author = "C. R. Fletcher",
	title = "A reconstruction of the {Frenicle-Fermat} correspondence of
1640",
	journal = HM,
	volume = 18,
	year = 1991,
	pages = "344-351"}

@article{Lebesgue:1837,
	key = "Lebesgue 1837",
	author = "V.-A. Lebesgue",
	title = "Recherches sur les nombres",
	journal = JMPA,
	volume = 2,
	year = 1837,
	pages = "253-292"}

@book{Birkhoff&MacLane:1977,
	key = "Birkhoff and Mac Lane 1977",
	author = "G. Birkhoff and Mac Lane, S.",
	title = "A Survey of Modern Algebra",
	edition = "4th",
	year = 1977,
	publisher = "Macmillan"}