4637 Allan Adler: Magic cubes and the 3-adic zeta function.
Math. Intell. 14/3 (1992), 14-23.

S. Alaca/K. Williams: Introductory algebraic number theory.
Cambridge UP 2004, 450p. Pds. 25.

1755 P. Alexandrov (ed.): Die Hilbertschen Probleme. Leipzig 1983.

11528 Emil Artin: Quadratische Ko''rper im Gebiete der ho''heren
Kongruenzen I. Dissertation. In Emil Artin's Collected Papers, 1-...

22409 Robert Ash: A course in algebraic number theory. Internet 2003, 110p.

25289 Karim Belabas: L'algorithmique de la theorie algebrique des nombres. Internet, 52p.

M. Bertin a.o.: Pisot and Salem numbers. BirkhŠuser 1992, 290p.
3-7643-2648-4. SFR 158.

20812 Reinhard Bölling: Jacobi als Wegbereiter für Kummers Idee der
idealen Zahlen. Mitt. DMV 16/4 (2008), 274-281.

25181 Dietrich Burde: Algebraische Zahlentheorie. Internet 2013, 110p.

J.W.S. Cassels: Local fields. Cambridge UP 1986.

25435 John Cassels/A. Fröhlich (ed.): Algebraic number theory. LMS 2010, 370p. Eur 46.

2790 S. Chatterji/Ulrich Kulisch/Detlef Laugwitz/Roman Liedl/Walter
Purkert (ed.): Jahrbuch Ueberblicke Mathematik 1991. Vieweg 1991.

2069 Harvey Cohn: Advanced number theory. Dover 1980.

M. Coleman: The distribution of points at which norm-forms are prime.
J. Number theory 41 (1992), 359-378. New results on the multidimensional 
distribution of prime ideals in number fields.

24831 Keith Conrad: Remarks about euclidean domains. Internet ca. 2006, 10p.

E. Dade/O. Taussky/Hans Zassenhaus: On the theory of orders, in particular on 
the semigroup of ideal classes and genera of an order in an algebraic number 
field. Math. Ann. 148 (1962), 31-64.

Richard Dedekind: Theory of algebraic integers.
Cambridge UP 1996, 160p. 0-521-56518-9. Pds. 15.
With an introduction to number theory by John Stillwell.

1959 Max Deuring: Die Klassenkoerper der komplexen Multiplikation.
Enzykl. der math. Wiss. I/2/Heft 10,2.

D. Dumbaugh/J. Schwermer (ed.): Emil Artin and beyond - class field theory
and L-functions. EMS 2015, 230p. Eur 68.

Harold Edwards: Divisor theory. Birkhaeuser 1990, 180p. DM 68.
Some new concepts for algebraic number theory. The reviewer seems not very 
convinced.

25851 Philippe Ellia: Teoria dei numeri. Internet (Univ. Ferrara) 2014, 150p.

1772 Otto Endler: Valuation theory. Springer 1972.

29118 Christopher Frei: Average bounds for the l-torsion in class groups of number field.
IMN 244 (2020), 1-10.

27223 Susan Friedlander: Introduction to the Tate issue. Bull. AMS ... (2017), 3p.

1898 Philipp Furtwaengler: Allgemeine Theorie der algebraischen Zahlen.
Enz. math. Wiss. 1/2/Heft 8,2.

25796 Stefania Gabelli: Introduzione alla teoria delle valutazioni. Internet 2012, 65p.

1988 Carl Friedrich Gauss: Disquisitiones arithmeticae.
(Werke, erster Band). Olms 1981. ISBN 3-487-04633-4.

25902 Eknath Ghate: Vandiver's conjecture via K-theory. Internet 1999, 16p.

Kurt Girstmair: Character coordinates and annihilators of cyclotomic numbers.
Manuscripta Math.  59 (1987), 375-389.

Kurt Girstmair: Ein von-Staudt-Clausenscher Satz fuer periodische
Bernoullizahlen. Monatshefte Math. 104 (1987), 109-118.

Kurt Girstmair: An index formula for the relative class number of an abelian 
number field. J. Number theory 32 (1989), 100-110.

Kurt Girstmair: Dirichlet convolution of cotangent numbers and relative
class number formulas. Monathefte Math. 110 (1990), 231-256.

4993 Kurt Girstmair: Klassenzahlformeln fuer Kreisteilungskoerper.
2790 Chatterji/, 3-22.

Kurt Girstmair: On the cosets of the 2q-power group in the unit gorup
modulo p. Abh. Math. Sem. Hamburg 62 (1992), 217-232.

Kurt Girstmair: On the branch order of the ring of integers of an abelian
number field. Acta Arithm. 62 (1992), 297-301.

Kurt Girstmair: On the trace of the ring of integers of an abelian number
field. Acta Arithm. 62 (1992), 383-389.

5759 Kurt Girstmair: The relative class numbers of imaginary cyclic fields of 
degrees 4,6,8, and 10. Mathematics of Comp. 61 (1993), 881-887.

Kurt Girstmair: Eine Verbindung zwischen den arithmetischen Eigenschaften
verallgemeinerter Bernoullizahlen. Expos. Math. 11 (1993), 47-63.

Kurt Girstmair: The digits of 1/p in connection with class number factors.
Acta Arithm. 67 (1994), 381-386.

25974 Hans-Gert Gräbe: Algebraic numbers in symbolic computation.
Internet 1999, 15p.

Georges Gras: Class field theory. Springer 2002, 520p. Eur 86.

25799 Franz Halter-Koch: Besprechung des Buches "Algebraische Zahlentheorie"
von Falko Lorenz. MR1276274 (95e:11116).

Helmut Hasse: Bericht ueber neuere Untersuchungen und Probleme aus der
Theorie der algebraischen Zahlkoerper. 
Jber. DMV 35 (1926), ..., 36 (1927), ..., 39 (1930), ...

1787 Helmut Hasse: Zahlentheorie. Akademie-Verlag 1949.
Esistono edizioni piu' nuove, con molte aggiunte.

3574 Helmut Hasse: Ueber die Klassenzahl abelscher Zahlkoerper.
Springer 1985.

25195 Helmut Hasse/Joseph Liang: Über den Klassenkörper zum quadratischen Zahlkörper
mit der Diskriminante -47. Acta Arithmetica 16 (1969), 89-94.

1878 Michiel Hazewinkel: Review of the books "Class field theory" by Neukirch
and "Local class field theory" by Iwasawa. Bull. AMS 21 (1989), 95-101. [3323]

1715 Erich Hecke: Vorlesungen ueber die Theorie der algebraischen Zahlen.
Chelsea 1948.

Erich Hecke: Ueber die Bestimmung Dirichletscher Reihen durch ihre 
Funktionalgleichung. Math. Ann. 112 (1936), 664-669.

Hans Arnold Heilbronn: On the class-number in imaginary quadratic fields.
Quarterly J. Math. 5 (1934), 150-160.

Hans-Arnold Heilbronn/E.H. Linfoot: On the imaginary quadratic corpora of 
class-number one. Quarterly J. Math. 5 (1934), 293-301.

Heukers/H. Schlickewei: The equation x+y=1 in finitely generated groups.
Acta Arithm. 78 (1996), 189-199.

4578 David Hilbert: Gesammelte Abhandlungen. Erster Band: Zahlentheorie.
Chelsea.

3622 Makoto Ishida: The genus fields of algebraic number fields.
SLN Math. 555.

25198 Michael Jacobson: Computational techniques in quadratic fields.
Master thesis Univ. Manitoba 1995, 160p.

22455 Gerald Janusz: Algebraic number fields. AMS 1996, 280p. Eur 51.

25815 Frazer Jarvis: Algebraic number theory. Springer 2014, 290p. Eur 37.

8459 Giuseppe Jurman: Breve introduzione alla teoria dei numeri.
Internet 1992, 16p.

22450 Kazuya Kato/Nobushige Kurokawa/Takeshi Saito: Numer theory 1.
AMS 2000, 150p. Eur 23.

22451 Kazuya Kato/Nobushige Kurokawa/Takeshi Saito: Numer theory 2.
AMS 2011, 240p. Eur 46.

25194 Norbert Klingen: Algebraische Zahlentheorie. Internet 2011, 100p.

1952 Helmut Koch: Galoissche Theorie der p-Erweiterungen. Springer 1970.

16016 Helmut Koch: Zahlentheorie. Algebraische Zahlen und Funktionen.
Vieweg 1997, 340p. Eur 27.

Helmut Koch: Algebraic numbers and functions. 2000.

Tomio Kubota: Foundations of class field theory through properties of space 
figures. Sugaku 44 (1992), 1-12. Explains the recent direct proof of the 
reciprocity law for the n-th power residue symbol using geometry of numbers. 
Remarkable. See Zentralblatt 760 (1993), 46-47.

1884 G. Lachaud: On real quadratic fields. Bull. AMS 17 (1987), 307-311. [3323]

4591 Edmund Landau: Einfuehrung in die elementare und analytische Theorie der 
algebraischen Zahlen und Ideale. Teubner 1927.

1753 Serge Lang: Algebraic number theory. Springer 1986.

3475 Serge Lang: Cyclotomic fields. Both parts in one volume.
Springer 1990.

25197 Hartmut Laue: Algebraische Zahlentheorie. Internet 2009, 90p.

Andrew Lazarus: Gaussian periods and units in certain cyclic fields.
Proc. AMS 115 (1992), 961-968.

7311 Franz Lemmermeyer: The euclidean algorithm in algebraic number fields.
Internet, 31p.

21309 Franz Lemmermeyer: Zur Zahlentheorie der Griechen II.
Gaußsche Lemmas und Rieszsche Ringe. Math. Semesterber. 56 (2009), 39-51.

25200 Franz Lemmermeyer: Quadratische Zahlkörper. Internet 2011, 90p. A good course.

H. Leopoldt: Ueber Einheitengruppe und Klassenzahl reeller abelscher 
Zahlkoerper. Abh. Dt. Ak. Wiss. Berlin 1953/2.

G. Lettl: Stickelberger elements and cotangent numbers. Preprint.

16017 Armin Leutbecher: Zahlentheorie. Springer 1996, 350p. Eur 25.

Falko Lorenz: Einfuehrung in die Algebra. 2 volumes.
Bibl. Inst. 1990, 700p. DM 82. Should be a very good introduction to Galois 
theory (volume 1) and to local class field theory (volume 2).

21003 Falko Lorenz: Algebraische Zahlentheorie. Bibl. Inst. 1993, 330p.

2603 M.-P. Malliavin: Algebre commutative. Masson 1985.
Very clear. Especially good as a foundation for algebraic number theory.

1736 Daniel Marcus: Number fields. Springer 1977.

22425 James Milne: Algebraic number theory. Internet 2011, 167p.

24976 James Milne: Class field theory. Internet 2013, 290p.

27221 James Milne: Review of the collected works of John Tate
(edited by B. Mazur and J.P. Serre). Bull. AMS ... (2017), 8p.

22428 Richard Mollin: Algebraic number theory. CRC 2011, 420p. Eur 69.

19048 Stefan Müller-Stach/Jens Piontkowski: Elementare und algebraische
Zahlentheorie. Vieweg 2006, 240p. Eur 20.

Akito Namura: On the class numbers of certain Hilbert class fields. 
Man. Math. 79 (1993), 379-390.

19167 Wladyslaw Narkiewicz: Elementary and analytic theory of algebraic
numbers. Springer 2004, 710p.

1877 Juergen Neukirch: Klassenkoerpertheorie. Bibl. Inst. 1969.

Juergen Neukirch: Neubegruendung der Klassenkoerpertheorie.
Math. Zeitschr. 186 (1984), 557-574.

19075 Jürgen Neukirch: Algebraische Zahlentheorie. Springer 2007, 590p. Eur 39.

24898 Jürgen Neukirch: Klassenkörpertheorie.
Springer 2012, 220p. Freie elektronische Ausgabe.

24897 Jürgen Neukirch: Class field theory.
Springer 2012, 200p. Free electronic version.

25199 Jeongho Park: Notes on the quadratic integers and real quadratic number fields.
Internet 2013, 16p.

Vladimir Platonov/Andrei Rapinchuk: Algebraic groups and number theory.
1993, 580p. Pds. 80.

19759 Jerome Poineau: Global analytic geometry.
EMS Newsletter September 2007, 20-22.

P. Pollack: A conversational introduction to number theory. AMS 2017, 310p.
"Dies ist eine sehr schöne Einführung in die algebraische Zahlentheorie." (C. Elsholtz)

Harry Pollard/H. Diamond: The theory of algebraic numbers.
Dover 1999. 0-486-404544. $8.

Klaus Pommerening/N. Guthschmidt/P. Hafkus/W. Paus: Algebraische Zahlen
und algebraische Funktionen. Seminarausarbeitung, Berlin 1968. 170p.

Klaus Pommerening: Der euklidische Algorithmus. Alef 5 (1985), 31-70.

Klaus Pommerening: Primzerlegung in imagina''r-quadratischen Zahlringen
und Summen von zwei Quadraten. Alef 17 (1995), 43-64.

22401 Heinz Prüfer: Neue Begründung der algebraischen Zahlentheorie.
Math. Ann. 94 (1925), 198-243.

Clifford Queen: A simple characterization of principal ideal domains.
Acta Arithm. 64 (1993), 125-128. An integer domain is a PID iff it has a very 
natural and simple type of "norm". 

D. Ramakrishnan/R. Valenza: Fourier analysis on number fields.
Springer 1999, 350p. DM 79.

1998 Paulo Ribenboim: Algebraic numbers. Wiley 1972.

Paulo Ribenboim: The classical theory of valuations. Springer 1999, 420p.

Paulo Ribenboim: Classical theory of algebraic numbers. Springer 2010, 710p.

K. Roggenkamp/M. Taylor: Group rings and class groups.
Birkhaeuser 1992, 216p. 3-7643-2734-0. DM 76.

24827 Pierre Samuel: About euclidean rings. J. Algebra 19 (1971), 282-301.

21002 Pierre Samuel: Algebraic theory of numbers. Dover 2008, 110p. Eur 9.

25201 J. Sander: Algebraische Zahlentheorie. Internet 2002, 130p.

19049 Alexander Schmidt: Einführung in die algebraische Zahlentheorie.
Springer 2007, 210p. Eur 25.

C. Schmidt: Größencharaktere und Relativklassenzahl abelscher Zahlkörper.
J. Number theory 11 (1979), 128-159.

C. Schmidt: Stickelbergerideale und Kreiseinheiten zu Klassenkörpern 
abelscher Zahlkörper. J. reine u. angew. Math. 353 (1984), 14-54.

22540 Rene' Schoof: Algebraic number theory. Internet 2003, 90p.

23338 Wolfgang Schwarz: Skript Algebraische Zahlentheorie. Internet 2006, 28p.

25852 Christoph Schweigert: Einführung in die algebraische Zahlentheorie.
Vorl. Univ. Hamburg 2004, 95p.

3287 Joachim Schwermer: Ueber Reziprozitaetsgesetze in der Zahlentheorie.
2718 Knoerrer, 29-69.

3596 Jean-Pierre Serre: Cohomologie galoisienne. SLN Math. 5 (1986).

Jean-Pierre Serre: Algebraic groups and class fields. 
Springer 1988, 210p. DM 72.

21036 Jean-Pierre Serre: Local fields. Springer 1995, 240p. Eur 59.

B. Setzer: The determination of all imaginary, quartic, abelian number fields 
with class number 1. Math. Comp. 35 (1980), 1383-1386.

2733 Igor Shafarevich: Abelian and nonabelian mathematics.
Math. Intell. 13/1 (1991), 67-75.

Harold Shapiro/Gerson Sparer: Minimal bases for cubic fields.
Commun. pure appl. Math. 44 (1991), 1121-1136.

Goro Shimura: Class fields over real quadratic fields and Hecke operators. 
Annals Math. 95 (1972), 130-190.

1866 Ladislav Skula: Divisorentheorie einer Halbgruppe. 
Math. Zt. 114 (1970), 113-120. [3323]

V. Snaith: Galois module structure. AMS 1994, 210p. $39.

11613 Harold Stark: An introduction to number theory.
MIT Press 1987, 340p. Eur 33.

Harold Stark: The analytic theory of algebraic numbers. Springer 1993.

4806 Harold Stark: Galois theory, algebraic number theory, and zeta functions. 
4740 Waldschmidt, 313-393.

1984 Harold Stark: A complete determination of the complex quadratic fields 
of class-number one. Michigan Math. J. 14 (1967), 1-27. [3323]

23665 William Stein: Algebraic number theory - a computational approach.
Internet 2012, 215p.

3621 Ian Stewart/David Tall: Algebraic number theory. 
Chapman and Hall 1987.

21000 Henry Swinnerton-Dyer: A brief guide to algebraic number theory.
Cambridge UP 2002, 150p. Eur 29.

Toshikazu Takagi: The cuspidal class number formula for the modular 
curves ...  J. Algebra 158 (1993), 515-549.    

25598 Terence Tao: A little bit of algebraic number theory.
Internet (author's blog) 2014, 11p.

27222 John Tate: Number theory in the 20th century I. Bull. AMS ... (2017), 4p.

Francisco Thaine: On the relation between units and Jacobi sums in prime 
cyclotomic fields. Man. Math. 73 (1991), 127-151.

9791 Stefan Treatman: Euclidean systems.
Dissertation, Univ. Michigan 1996.

G. Veldkamp: Remark on euclidean rings.
Nieuw. tid. Wisk. 48 (1960/61), 268-270. (Dutch)

18144 Otmar Venjakob: Können zeta-Funktionen diophantische Gleichungen lösen?
DMV-Mitteilungen 14/3 (2006), 136-141. Nützliche kleine Übersicht über die
neuere algebraische Zahlentheorie.

9854 F. Vivaldi: Algebraic number theory and Hamiltonian chaos.
In 4779 Luck/Moussa/Waldschmidt, 294-301.

4714 Lawrence Washington: Introduction to cyclotomic fields. 
Springer 1982.

25884 Mark Watkins: Class numbers of imaginary quadratic fields.
Math. Comp. 73/246 (2003), 907-938.

25904 Charles Weibel: Algebraic K-theory of rings of integers in local and global fields.
Internet 2004, 42p.

1923 Andre' Weil: Basic number theory. Springer 1974.

1905 Andre' Weil: Adeles and algebraic groups. Birkhaeuser 1982.

21001 Edwin Weiss: Algebraic number theory. Dover 1998, 280p. Eur 14.

1904 Hermann Weyl: Algebraische Zahlentheorie. Bibl. Inst. 1966.

25900 Wikipedia: Kummer-Vandiver conjecture. Wikipedia 2015, 2p.

3345 Gisbert Wuestholz: Diophantische Geometrie: Effektivitaet und einige 
Probleme. Jber. DMV 93 (1991), 147-160.

Fei Xu/Jianqiang Zhao: Maximal independent systems of units in global
function fields. Acta Arithm. 78 (1996), 1-10.

1942 Don Zagier: Zetafunktionen und quadratische Koerper. Springer 1981.