@article{LenstraHW:1992,
	key = "H. W. Lenstra 1992",
	author = "Lenstra, Jr., H. W.",
	title = "Algorithms in algebraic number theory",
	journal = BAMS,
	volume = 26,
	year = 1992,
	pages = "211-244"}

@incollection{Buchmann:1990,
	key = "Buchmann 1990",
	author = "J. Buchmann",
	title = "Complexity of algorithms in algebraic number theory",
	booktitle = "Number Theory",
	editor = "R. A. Mollin",
	publisher = "Walter de Gruyter",
	address = "Berlin",
	year = 1990,
	pages = "37-53"}

@book{Dickson&Mitchell&Vandiver&Wahlin:1923,
	key = "Dickson, Mitchell, Vandiver, and Wahlin 1923",
	author = "L. E. Dickson and H. H. Mitchell and H. S. Vandiver and
		  G. E. Wahlin",
	title = "Algebraic Numbers",
	publisher = "National Research Council",
	address = "Washington",
	year = 1923,
	note = "( = {\it Bull.\ Nat.\ Res.\ Council} {\bf 28}).  Reprinted by
		Chelsea, New York, 1967"}

@book{Vandiver&Wahlin:1928,
	key = "Vandiver and Wahlin 1928",
	author = "H. S. Vandiver and G. E. Wahlin",
	title = "Algebraic Numbers -- II",
	publisher = "National Research Council",
	address = "Washington",
	year = 1928,
	note = "( = {\it Bull.\ Nat.\ Res.\ Council} {\bf 62}).  Reprinted 
		along with Dickson et al. [1923] by Chelsea, New York, 1967" }

@article{Serre:1981,
	key = "Serre 1981",
	author = "J.-P. Serre",
	title = "Quelques applications du th\'eor{\`e}me de
		 densit{\'e} de {C}hebotarev",
	journal = IHES,
	volume = 54,
	year = 1981,
	pages = "323-401",
	note = "Reprinted in {\it Oeuvres}, Vol.~III, pp. 563--641."}

@article{Fogels:1961,
	key = "Fogels 1961",
	author = "{\`E}. K. Fogels",
	title = "On the distribution of prime ideals",
	journal = DAN,
	volume = 140,
	year = 1961,
	pages = "1029-1032",
	note = "In Russian.  English translation in {\it Sov.\ Math.\ Doklady}
		{\bf 2}, 1961, 1322--1325"}

@article{Mitsui:1968,
	key = "Mitsui 1968",
	author = "T. Mitsui",
	title = "On the prime ideal theorem",
	journal = JMSJ,
	volume = 20,
	year = 1968,
	pages = "233-247"}

@article{Low:1968,
	key = "Low 1968",
	author = "M. E. Low",
	title = "Real zeroes of the {D}edekind zeta function of an
		 imaginary quadratic field",
	journal = AA,
	volume = 14,
	year = 1968,
	pages = "117-140"}

@article{GoldsteinL:1970a,
	key = "L. Goldstein 1970a",
	author = "L. J. Goldstein",
	title = "A generalization of the {Siegel}-{Walfisz} theorem",
	journal = TAMS,
	volume = 149,
	year = "{\noopsort{1970a}}1970",
	pages = "417-429"}

@article{GoldsteinL:1970b,
	key = "L. Goldstein 1970b",
	author = "L. J. Goldstein",
	title = "Analogues of {Artin}'s conjecture",
	journal = TAMS,
	volume = 149,
	year = "{\noopsort{1970b}}1970",
	pages = "431-442"}

@article{Weiss:1983,
	key = "Weiss 1983",
	author = "A. Weiss",
	title = "The least prime ideal",
	journal = JFRAM,
	volume = 338,
	year = 1983,
	pages = "56-94"}

@article{Lang:1971,
	key = "Lang 1971",
	author = "S. Lang",
	title = "On the zeta function of number fields",
	journal = INVM,
	volume = 12,
	year = 1971,
	pages = "337-345"}

@book{GoldsteinL:1971,
	key = "L. Goldstein 1971",
	author = "L. J. Goldstein",
	title = "Analytic Number Theory",
	publisher = PH,
	year = 1971}

@book{CohnH:1978,
	key = "H. Cohn 1978",
	author = "H. Cohn",
	title = "A Classical Invitation to Algebraic Numbers and
		 Class Fields",
	publisher = SV,
	year = 1978}

@article{Hinz:1980,
	key = "Hinz 1980",
	author = "J. Hinz",
	title = "Eine {E}rweiterung des nullstellenfreien {B}ereiches der
		 {H}eckeschen {Z}etafunktion und {P}rimideale in 
		 {I}dealklassen",
	journal = AA,
	volume = 38,
	year = 1980,
	pages = "209-254"}

@article{Toyama:1955,
	key = "T{\^o}yama 1955",
	author = "H. T{\^o}yama",
	title = "A note on the different of the composed field",
	journal = KMSR,
	volume = 7,
	year = 1955,
	pages = "43-44"}

@article{Sokolovskii:1968,
	key = "Sokolovski\u{\i} 1968",
	author = "A. V. Sokolovski\u{\i}",
	title = "A theorem on the zeroes of {D}edekind's zeta-function
		 and the distance between {``neighboring''} prime ideals",
	journal = AA,
	volume = 13,
	year = 1968,
	pages = "321-334",
	note = "In Russian.  
                Reviewed in {\em Math.\ Reviews} {\bf 36} (1968), \#6380"}

@article{Takagi:1920,
	key = "T. Takagi 1920",
	author = "T. Takagi",
	title = "{\"U}ber eine {T}heorie des relativ {A}bel'schen 
		 {Z}ahlk{\"o}rpers",
	journal = JCSIUT,
	volume = 41,
	year = 1920,
	pages = "1-133",
	note = "Reprinted with corrigenda in {\it Collected Papers},
		pp.~73--167" 
	}

@book{Hasse:1967,
	key = "Hasse 1967",
	author = "H. Hasse",
	title = "Vorlesungen {\"uber} {K}lassenk{\"o}rpertheorie",
	publisher = "Physica-Verlag",
	address = "W{\"u}rzburg",
	year = 1967}

@article{Hasse:1926,
	key = "Hasse 1926",
	author = "H. Hasse",
	title = "Bericht {\"u}ber neuere {U}ntersuchungen und {P}robleme
		 aus der {T}heorie der algebraischen {Z}ahlk{\"o}rper. {I}",
	journal = JDMV,
	volume = 35,
	pages = "1-55",
	note = "Part Ia in {\bf 36} (1927) 233--311;
		Part II in {\it Erganzungsb{\"a}nde}, v.~VI, 1930, 1--201.
		Reprinted by Physica-Verlag, W{\"u}rzburg, 1965.",
	year = 1926
	}

@book{Neukirch:1986,
	key = "Neukirch 1986",
	author = "J. Neukirch",
	title = "Class Field Theory",
	publisher = SV,
	address = "Berlin",
	year = 1986}

@book{Dickson:1926,
	key = "Dickson 1926",
	author = "L. E. Dickson",
	title = "Modern Algebraic Theories",
	publisher = "Sanborn",
	address = "Chicago",
	year = 1926,
	note = "Reprinted as {\it Algebraic Theories} 
                by Dover, New York, 1959"}

@article{Stark:1975,
	key = "Stark 1975",
	author = "H. M. Stark",
	title = "The analytic theory of algebraic numbers",
	journal = BAMS,
	volume = 81,
	year = 1975,
	pages = "961-972"}

@article{Friedlander:1980,
	key = "Friedlander 1980",
	author = "J. B. Friedlander",
	title = "Estimates for prime ideals",
	journal = JNT,
	volume = 12,
	year = 1980,
	pages = "101-105"}

@book{Dedekind:1879,
	key = "Dedekind 1879",
	author = "J. W. R. Dedekind",
	title = "Vorlesungen {\"u}ber {Z}ahlentheorie von {P.} {G.} 
		 {L}ejeune {D}irichlet",
	edition = "3rd",
	publisher = "Viewig",
	address = "Braunschweig",
	year = 1879
	}

@article{Dedekind:1878,
	key = "Dedekind 1878",
	author = "J. W. R. Dedekind",
	title = "{\"U}ber den {Z}ussamenhang zwischen der {T}heorie
		 der {I}deale und der {T}heorie der h{\"o}heren {C}ongruenzen",
	journal = AKGWG,
	volume = 23,
	year = 1878,
	pages = "3-37",
	note = "Reprinted in {\it Werke}, Vol.~I, pp.~202--232"}

@article{Kronecker:1854,
	key = "Kronecker 1854",
	author = "L. Kronecker",
	title = "M{\'e}moire sur les facteurs irr{\'e}ductibles de
		 l'expression {$x^n - 1$}",
	journal = JMPA,
	volume = 19,
	year = 1854,
	pages = "177-192",
	note = "Reprinted in {\it Werke}, Vol.~I, pp.~77--92"}

@article{Ore:1926,
	key = "Ore 1926",
	author = "O. Ore",
	title = "Existenzbeweis f{\"u}r algebraische {K\"o}rper mit
		 vorgeschriebenden {E}igenschaften",
	journal = MZ,
	volume = 95,
	year = 1926,
	pages = "474-489"}

@article{Ore:1927,
	key = "Ore 1927",
	author = "O. Ore",
	title = "{\"U}ber den {Z}usammenhang zwischen den definierenden
		 {G}leichungen und der {I}dealtheorie in algebraischen
		 {K{\"o}rpern}",
	journal = MA,
	volume = 96,
	year = 1927,
	pages = "313-352",
	note = "Continued in {\bf 97} (1927), 569--598"}

@article{Rados:1906,
	key = "Rados 1906",
	author = "G. Rados",
	title = "Die {D}iskriminante der allgemeinen {K}reisteilungsgleichung",
	journal = JFRAM,
	volume = 131,
	year = 1906,
	pages = "49-55"}

@article{Landau:1903b,
	key = "E. Landau 1903b",
	author = "E. Landau",
	title = "Neuer {B}eweis des {P}rimzahlsatzes und {B}eweis des
		 {P}rimidealzatzes",
	journal = MA,
	volume = 56,
	year = "{\noopsort{1903b}}1903",
	pages = "645-670",
	note = "Reprinted in {\it Collected Works}, Vol.~1, pp.~327--352"}

@article{Landau:1906,
	key = "E. Landau 1906",
	author = "E. Landau",
	title = "{\"Uber} den {Z}usammenhang einiger neuerer
		 {S\"atze} der analytischen {Z}ahlentheorie",
	journal = "Akad. Wiss. Wien Sitzungsberichte",
	volume = 115,
	year = 1906,
	pages = "589-631",
	note = "Reprinted in {\it Collected Works}, Vol.~2, pp.~346--388"}

@article{Artin:1924b,
	key = "Artin 1924b",
	author = "E. Artin",
	title = "{\"Uber} eine neue {Art} von {$L$}-{Reihen}",
	journal = MSHAM,
	volume = 3,
	year = "{\noopsort{1924b}}1924",
	pages = "89-108",
	note = "Reprinted in {\it Collected Papers}, pp.~105--124"}

@misc{Zolotarev:1874,
	key = "Zolotarev 1874",
	author = "G. Zolotarev",
	title = "{Th\'eorie} des nombres entiers complexes, avec une
application au calcul int\'egral",
	year = 1874,
	note = "Dissertation, St. Petersburg.  Reviewed
	in {\it Jahrb.\ Fort.\ Math.} {\bf 6} (1876), 117--124"}

@book{CohnH:1985,
	key = "H. Cohn 1985",
	author = "H. Cohn",
	title = "Introduction to the Construction of 
		 Class Fields",
	publisher = CUP,
	year = 1985}

@article{Artin:1927,
	key = "Artin 1927",
	author = "E. Artin",
	title = "Beweis des allgemeinen {R}eciprocit{\"a}tsgesetzes",
	journal = MSHAM,
	volume = 5,
	year = 1927,
	pages = "353-363",
	note = "Reprinted in {\it Collected Papers}, pp.~131--141"}

@article{Chebotarev:1926,
	key = "Chebotarev 1926",
        author = "N. G. Chebotarev",
	title = "Die {B}estimmung der {D}ichtigkeit einer {M}enge
		 von {P}rimzahlen, welche zu einer gegebenen
		 {S}ubstitutionsklasse geh{\"o}ren",
	journal = MA,
	volume = 95,
	year = 1926,
	comment = "original citation spells name Tschebotareff",
	pages = "191-228"}

@article{Steinitz:1912,
	key = "Steinitz 1912",
	author = "E. Steinitz",
	title = "Rechteckige {Systeme} und {Moduln} in
		 algebraischen {Zahlk\"orpern.} {I}",
	journal = MA,
	volume = 71,
	year = 1912,
	pages = "328-354"}

@article{Minkowski:1891,
	key = "Minkowski 1891",
	author = "H. Minkowski",
	title = "Th{\'e}or{\`e}mes arithm{\'e}tiques", 
	journal = CRASP,
	volume = 112,
	year = 1891,
	pages = "209-212",
	note = "Reprinted in {\it Gesammelte Abhandlungen}, 
                Vol.~I, pp.~261--263"}

@article{Odlyzko:1990,
	key = "Odlyzko 1990",
	author = "A. M. Odlyzko",
	title = "Bounds for discriminants and related estimates for
		 class numbers, regulators, and zeros of zeta functions:
		 a survey of recent results",
	journal = STNB,
	volume = 2,
	year = 1990,
	pages = "119-141"}

@book{CohenH:1993,
	key = "H. Cohen 1993",
	author = "H. Cohen",
	title = "A Course in Computational Algebraic Number Theory",
	publisher = SV,
	address = "New York",
	year = 1993}

@article{Ankeny:1951,
	key = "Ankeny 1951",
	author = "N. C. Ankeny",
	title = "An improvement of an inequality of {M}inkowski",
	journal = PNAS,
	volume = 37,
	year = 1951,
	pages = "711-716"}

@article{Lagarias:1983,
	key = "Lagarias 1983",
	author = "J. C. Lagarias",
	title = "Sets of primes determined by systems of polynomial
		 congruences",
	journal = IJM,
	volume = 27,
	year = 1983}

@book{Stark:1987,
	key = "Stark 1987",
	author = "H. M. Stark",
	title = "An Introduction to Number Theory",
	publisher = MIT,
	address = "Cambridge",
	year = 1987}