Number Theory Books, 1993 or before

• History of the theory of numbers, L.E. Dickson, 1919, online version, Internet Archive
• Die Lehre von den Kettenbrüchen, Oscar Perron, Teubner 1954
• Elementary theory of numbers, Wacław Sierpiński (Warszawa 1964) is now available online, courtesy of the Polish Virtual Library of Science
• An Introduction to Diophantine Approximation, J.W.S. Cassels, Cambridge Tract 45, CUP 1957
• Integral quadratic forms, G.L. Watson, Cambridge Tract 51 1960
• Introduction to quadratic forms, O.T. O'Meara, Springer Grundlehren series 117 1963
• Zahlentheorie, S.I. Borevich, I.R. Shafarevich, Birkhaüser 1966
• Number Theory, G.B. Mathews, Chelsea reprint 1961 (out of print)
• An introduction to the analytic theory of numbers, Raymond G. Ayoub, Mathematical Surveys 10 AMS, 1963
• Computers in Number Theory Conference, Oxford 1969
• Computers in Number Theory Conference, Oxford 1969 (photos)
• Einführung in die Analytische Zahlentheorie, K. Chandrasekharan, Lecture Notes in Mathematics 29, Springer 1966
• A Short Course in Automorphic Functions, Joseph Lehner, Dover, 1966 (MAA review by Fernando Q. Gouvêa)
• Algebraic number theory; proceedings of an instructional conference, Edited by J. W. S. Cassels and A. Fröhlich, Academic Press 1967, Errata
• Ergodic Properties of Algebraic Fields, Y.V. Linnik, Ergebnisse der Mathematik und ihrer Grenzgebiete 1968
  • Review, Bull. Amer. Math. Soc. (Lawrence Corwin)
• An introduction to number theory, H. Stark, Markham 1970
• Arithmetical Functions, K. Chandrasekharan, Grundlehren der mathematischen Wissenschaften 167, Springer 1970 (no longer listed by Springer)
• Topics in Multiplicative Number Theory, Hugh L. Montgomery, Lecture Notes in Mathematics 227, Springer 1971
• Analytic Number Theory, Larry Joel Goldstein, Prentice-Hall, Englewood Cliffs, New Jersey (1971)
• The Distribution of Prime Numbers, M.N. Huxley, OUP 1972
• Le Grand Crible dans la Théorie Analytique des Nombres, Enrico Bombieri, Astérisque 18, SMF 1974
• Sieve Methods, H. Halberstam, H.-E. Richert, Academic Press 1974, Review
• Nombres transcendants, M. Waldschmidt, Lecture Notes in Mathematics 402, Springer 1974
• Elliptic Modular Functions, B. Schoeneberg, Grundlehren der mathematischen Wissenschaften 203, Springer 1974
• Les nombres premiers, William John Ellison and Michel Mendes France, Hermann 1975
• Number Theory, T.H. Jackson, Library of Mathematics, Routlege and Kegan Paul, 1975
• Abstract Analytic Number Theory, J. Knopfmacher, North Holland Mathematical Library 12, 1975
• Introduction to Number Theory, Larry Joel Goldstein, William Wells Adams, Prentice-Hall, Inc. Englewood Cliffs, New Jersey (1976)
• Applications of sieve methods to the theory of numbers, Christopher Hooley, Cambridge Tracts in Mathematics 70, CUP 1976
• Elliptic Functions According to Eisenstein and Kronecker, A. Weil, Ergebnisse der Mathematik 88, Springer 1976
• Rational Quadratic Forms, J.W.S. Cassels, Academic Press 1978
• Zetafunktionen und quadratische Körper, Eine Einführung in die höhere Zahlentheorie, Don Zagier, Springer 1981
• 13 Lectures on Fermat's Last Theorem, P. Ribenboim, Springer 1979
• Probabilistic Number Theory I: Mean-value Theorems, P.D.T.A. Elliot, Grundlehren der mathematischen Wissenschaften 239, Springer 1979
• Advanced Number Theory (formerly A Second Course in Number Theory), Harvey Cohn, Dover 1980
• Analytic Arithmetic of Algebraic Function Fields, J. Knopfmacher, Lecture Notes in Pure and Applied Mathematics 50, Marcel Dekker, 1979
• Arithmétique des algères de quaternions, Springer Lecture Notes 800, 1980
• Topics in arithmetical functions, A. Ivić, J.-M. de Koninck, Mathematical Studies 43, North Holland 1980
• Probabilistic Number Theory II: Central Limit Theorems, P.D.T.A. Elliot, Grundlehren der mathematischen Wissenschaften 240, Springer 1980
• P-adic Analysis, A Short Course on Recent Work, N. Koblitz, LMS Lectures Notes 46, CUP 1980
• Modular Units, D.S. Kubert and S. Lang, Grundlehren der mathematischen Wissenschaften 244, Springer 1981 (no longer listed by Springer)
• Selected Topics on Polynomials, A. Schinzel, University of Michigan Press 1982, ISBN 0-472-08026-1
• Topics in recent zeta-function theory, A. Ivić, Publications Mathématiques d'Orsay, Université Paris-Sud, 1983
• Siegelsche Modulfunktionen, E. Freitag, Springer 1983 (no longer listed by Springer)
• Lectures on Sieve Methods and Prime Number Theory, Y. Motohashi, Tata Lecture Notes 72, 1983
• Number Theory, W. Narkiewicz (English Edition, World Scientific, 1983 (ISBN: 9971-950-26-X)
• Number Theory, An approach through history from Hammurapi to Legendre, A. Weil, Birkhäuser 1983, Second Printing 1997
• Les Conjectures de Stark sur les Fonctions L d'Artin en s=0, notes by Dominique Bernardi, Progress in Math. 47 Birkhäuser 1984
• A survey of trace forms of algebraic number fields, P.E. Conner , R. Perlis, World Scientific 1984
• Uniform Distribution of Sequences of Integers in Residue Classes, W. Narkiewicz, Lecture Notes in Mathematics 1087, Springer 1984
• Automorphic Forms on GL(3,R), D. Bump, Lecture Notes in Mathematics 1083, Springer 1984
• Arithmetic Functions and Integer Products, P.D.T.A. Elliot, Grundlehren der mathematischen Wissenschaften 272, Springer 1984, Review, Jean-Marie De Koninck, Bull. Amer. Math. Soc. 18 (1988), 230-247
• Diophantine Equations over Function Fields, R.C. Mason, LMS Lecture Notes Series 96, CUP 1984
• Introduction to the construction of class fields, Harvey Cohn, Dover 1985 (no longer listed at Dover)
• Harmonic analysis on symmetric spaces and applications, Vols. I, II, Springer 1985, 1988
• A Concise Introduction to the Theory of Numbers, A. Baker, CUP 1985
• Modular Forms on Half-Spaces of Quaternions, A. Krieg, Lecture Notes in Mathematics 1143, Springer 1985 (no longer listed by Springer)
• Intégration et théorie des nombres, Jean-Loup Mauclaire, Hermann, Paris, 1986, Review, P.D.T.A. Elliott, Bull. Amer. Math. Soc. 18 (1988), 193-209
• Éléments des théorie des nombres, R. Descombes, PUF 1986
• Analytic Methods in the Analysis and Design of Number-Theoretic Algorithms, MIT Press, 1985. [ACM Distinguished Dissertation Series.]
• Class Field Theory, J. Neukirch, Grundlehren der mathematicschen Wissenschaften 280, Springer 1986, Review, Michiel Hazewinkel, Bull. Amer. Math. Soc. 21 (1989), 95-101
• Arithmetic Geometry, (ed.) J.H. Silverman and G. Cornell, Springer 1986
• Local Fields, J.W.S. Cassels, LMS Student Texts 3, CUP 1986
• Drinfeld Modular Curves, E.-U. Gekeler, Lecture Notes in Mathematics 1231, Springer 1986
• Distribution Theorems of L-functions, D. Joyner, Pitman Research Notes in Mathematics 142, 1986
• Analytic Arithmetic in Algebraic Number Fields, B.Z. Moroz, Lecture Notes in Mathematics 1205, Springer 1986
• Diophantine Analysis, J.H. Loxton and A.J. Van der Poorten (Editors), LMS Lecture Notes Series 109, CUP 1986
• Classical Problems in Number Theory, W. Narkiewicz, Mathematical Monograph 62, PWN 1986
• Teoria dos Números Algébricos, Otto Endler IMPA 1986
• Quadratic forms and Hecke operators, Anotolij N. Andrianov, Grundlehren der mathematischen Wissenschaften, Vol. 286, 1987, Review, Martin Eichler, Bull. Amer. Math. Soc. 18 (1988), 224-230
• The theory of the Riemann Zeta-Function, Second Edition, E.C. Titchmarsh, Second edition revised by D. R. Heath-Brown, OUP 1987
  • Misprints in Hardy & Wright (6th edition), and in Titchmarsh (2nd edition)
• Lectures on a method in the theory of exponential sums, M. Jutila, Tata Institute of Fundamental Research, Lectures on Mathematics and Physics vol. 80, Bombay 1987
• Elliptic functions and rings of integers, Ph. Cassou-Noguès and M.J. Taylor, Progress in Mathematics 66, Birkhäuser 1987
• Perspectives in Mathematics Vol 3: The Iwasawa Theory of Elliptic Curves with Complex Multiplication, E. de Shalit, Academic Press 1987, Review, Karl Rubin, Bull. Amer. Math. Soc. 21 (1989), 108-112
• From Number Theory to Secret Codes, T.H. Jackson, Adam Hilger 1987
• Algebraic Number Theory, I.N. Stewart and D.O. Tall, (Second Edition), Chapman and Hall/CRC Press 1987
• Pi and the AGM, (with J.M. Borwein), Wiley-Interscience 1987
• Irregularities of Distribution, J. Beck and W.W.L. Chen, Cambridge Tract 89, CUP 1987 ISBN 0-471-83138-7
• Diophantine Approximations and Value Distribution Theory, P.A. Vojta, Lecture Notes in Mathematics 1239, Springer 1987
• Exponential Diophantine Equations, T.N. Shorey and R. Tijdeman, Cambridge Tracts in Mathematics 87, CUP 1987, Review, J. L. Brenner, Bull. Amer. Math. Soc. 25 (1991), 145-146
• The Theory of the Riemann Zeta-Function, Second Edition, E.C. Titchmarsh, Second edition revised by D. R. Heath-Brown, OUP 1987
• Introduction to Number Theory, Daniel Flath, Wiley 1988
  • Review of Dan Flath's book: Introduction to Number Theory, by Fernando Q. Gouvêa
• The lost notebook and other unpublished papers, Srinivasa Ramanujan Aiyangar; Introduction by George E. Andrews, Review, Richard Askey, Bull. Amer. Math. Soc. 19 (1988), 558-560
• Introduction to Coding Theory and Algebraic Geometry, Jacobus H. van Lint, Gerard van der Geer, Oberwolfach Seminars, 12, Birkhäuser 1988
• Introduction to Arakelov Theory, S. Lang, Springer 1988, Review, Joseph H. Silverman, Bull. Amer. Math. Soc. 21 (1989), 171-176
• Lattice points, E. Krätzel, Kluwer 1988
• Elementary Theory of Numbers, (Second Edition), W. Sierpinski, Elsevier 1988
• New Advances in Transcendence Theory, (Ed. A. Baker), CUP 1988
• Hilbert Modular Surfaces, G. van der Geer, Ergebnisse der Mathematik 16, Springer 1988
• Factorizations of bⁿ±1, b= 2, 3, 5, 6, 7, 10, 11, 12 up to high powers (third edition) John Brillhart, D. H. Lehmer, J. L. Selfridge, Bryant Tuckerman, and S. S. Wagstaff, Jr. Contemporary Mathematics 22, AMS 1988 (free download)
• L'équation diophantienne du second degré, Alain Faisant, Hermann 1990
• Divisors, Richard R. Hall, Gérald Tenenbaum, Cambridge Tract 90, CUP 2008, Review, Adolf Hildebrand Bull. Amer. Math. Soc. 22 (1990), 159-165
• Binary Quadratic Forms, D.A. Buell, Springer 1989 (see errors, tables and php program)
• Primes of the Form x²+ny², David Cox, Wiley 1989
• Transcendental Numbers, A.B. Shidlovskii, Studies in Mathematics 12, De Gruyter 1989, Review, R. Tijdeman, Bull. Amer. Math. Soc. 25 (1991), 445-453
• Algorithms for Diophantine Equations, B. de Weger, CWI Tract 65, 1989, Review, J. L. Brenner, Bull. Amer. Math. Soc. 25 (1991), 145-146
• Number Theory and Applications, Proceedings of the NATO Advanced Study Institute on Number Theory and Applications, Banff, Canada, April 27-May 5, 1988, (ed. R.A. Mollin), Kluwer, 1989
• Modular Forms, T. Miyake, Springer 1989 (no longer listed by Springer), Review, Paul B. Garrett, Bull. Amer. Math. Soc. 24 (1991), 234-245
• The Collected Papers of Hans Arnold Heilbronn, E. Kani, R.A. Smith, J.Wiley & Sons, New York, 1988.
• Arithmetic of p-adic Modular Forms, F. Gouvêa, Lecture Notes 1304, Springer 1988
• Algorithmic Algebraic Number Theory, M. Pohst and H. Zassenhaus, Encyclopedia of Mathematics and its Applications 30, CUP 1989
• Simple Algebras, Base Change and the Advanced Theory of the Trace Formula, J. Arthur, L. Clozel, Princeton University Press 1989
• Topics in Nevanlinna Theory, S. Lang, W. Cherry, Lecture Notes in Mathematics 1433, Springer NY 1990, Review, Paul Vojta, Bull. Amer. Math. Soc. 26 (1992), 153-157
• Holomorphic Hilbert Modular Forms, Paul Garrett, Wadsworth-Brooks-Cole, 1990, Review, Michael Harris, Bull. Amer. Math. Soc. 25 (1991), 184-195, Errata to the review
• Number theory : Proceedings of the First Conference of the Canadian Number Theory Association, Banff, April 17-27, 1988, (ed. R.A. Mollin), W. de Gruyter, 1990
• A Dictionary of Real Numbers, J.M. Borwein and P. Borwein, Wadsworth 1990
• Transcendental Number Theory, A. Baker, (Revised Edn.) CUP 1990
• Exponential Sums and Differential Equations, N.M. Katz, Annals of Mathematics Studies 124, Princeton University Press 1990
• Some Applications of Modular Forms, P. Sarnak, Cambridge Tract 99, CUP 1990
• Introductory Lectures on Siegel Modular Forms, H. Klingen, Cambridge Studies in Advanced Mathematics 20, CUP 1990
• The Distribution of Prime Numbers, A.E. Ingham, Cambridge Tract 30, (New forward and additional biography), CUP 1990
• Cinquante Ans de Polynômes, (Ed. M. Waldschmidt and M. Langevin), Springer 1990
• Hilbert Modular Forms, E. Freitag, Springer 1990, Review, Gerard van der Geer, Bull. Amer. Math. Soc. 25 (1991), 441-445
• Cohomology of Arithmetic Groups and automorphic Forms, J.-P. Labesse and J. Schwermer, Lecture Notes in Mathematics 1447, Springer 1990
• Selecta, Edmund Hlawka, E. Hlawka, P.M. Gruber, W.M. Schmidt, Springer 1990
• Introduction to Algebraic Number Theory, T. Ono, Plenum 1990
• Atle Selberg: Collected Papers II, Springer 1991
• The mean values of the Riemann zeta-function, A. Ivić, Tata Institute of Fundamental Research, Lecture notes 82, Springer 1991
• The Little Book of Bigger Primes, P. Ribenboim, Springer 2004
• Algebraic-Geometric Codes, M.A. Tsfasman, S.G. Vladut, Kluwer 1991
• Kronecker's Jugentraum and Modular Functions, S.G. Vladut, Gordon and Breach 1991
• Lectures on Elliptic Curves, J.W.S. Cassels, LMS Student Texts 24, CUP 1991
• A Tribute to Paul Erdös, A. Baker, B. Bollobás, A. Hajnal, CUP 1991
• Algebraic Curves Over Finite Fields: Error-Correcting Codes and Exponential Sums, C. Moreno, Cambridge Tract 97, CUP 1991, Review, J. W. P. Hirschfeld, Bull. Amer. Math. Soc. 27 (1992), 327-332
• Van der Corput's Method for Exponential Sums, S.W. Graham and G. Kolesnik, LMS Lecture Notes 126, CUP 1991
• L-Functions in Arithmetic, Ed. J.H. Coates, M.J. Taylor, LMS Lecture Notes 153, CUP 1991
• An Introduction to the Theory of Numbers, I. Niven, H.S. Zuckermann, H.L. Montgomery, (5th edition), Wiley 1991
• Additive Number Theory of Polynomials over a Finite Field, D.R. Hayes and G.W. Effinger, OUP 1991
• Lectures on Mean Values of the Riemann Zeta Function, A. Ivić, Tata Institute Lectures on Mathematics and Physics, Springer 1991 (no longer listed by Springer)
• New York Number Theory Seminar 1989-1990, (Ed) D.V. Chudnovsky, G.V. Chudnovsky, H. Cohn, M.B. Nathanson, Springer 1991
• Computational Recreations in Mathematica, I. Vardi, Addison-Wesley 1991
• p-Adic methods and their applications, Edited by Andrew J. Baker and Roger J. Plymen, OUP 1992
• Einladung zur Zahlentheorie, F. Ischebeck, Spektrum 1992
• Families of Automorphic Forms, R.W. Bruggeman, Monographs in Mathematics, Volume 88, Birkhäuser 1994, Review, Audrey A. Terras, Bull. Amer. Math. Soc. 33 (1996), 77-80
• Zahlentheorie, H. Scheid, Spektrum 1994
• Algebraische Zahlentheorie, J. Neukirch, Springer 1992
• Rational Points on Elliptic Curves, J.H. Silverman and J. Tate, (second printing), Undergraduate Text, Springer 1992
  • Errata
• Number Theory II, H. Koch, Encylopaedia of Mathematics 62, Springer 1992 (no longer listed by Springer)
• Primality Testing and Abelian Varieties Over Finite Fields, L.M. Adleman and M.-D.A. Huang, LNM 1512, Springer 1992
• The Higher Arithmetic, H. Davenport, (Eighth Edition) CUP 2008
• From Number Theory to Physics, (Ed. M. Waldschmidt et al), Springer 1992, 2nd corrected printing 1995
• The Arithmetic of Function Fields, Proceedings of a Workshop at Ohio State University, June 17-26, 1991, Ed. D. Goss, D.R. Hayes, M. Rosen, de Gruyter 1992
• The Riemann Zeta-Function, A.A. Karatsuba, S.M. Voronin, Translated by N. Koblitz, de Gruyter, 1992, Review, Peter Sarnak, Bulletin Volume 32 Issue 2, April 1995, pages 251-253
• Exponential Sums and their Applications, N.M. Korobov, Mathematics and its Applications 80, Kluwer 1992
• Algorithms for Modular Elliptic Curves, J.E. Cremona, CUP 1992
• Algebraic Number Theory, A. Fröhlich and M. Taylor, Cambridge Studies in Advanced Mathematics 27, CUP 1992
• Einführung in die Zahlentheorie, P. Bundschuh, Springer Lehrbuch 1992
• The Continued Fractions Found in the Unorganized Portions of Ramanujan's Notebooks G.E. Andrews, B.C. Berndt, L. Jacobsen, R.L. Lamphere, Memoirs of the AMS 99, AMS 1992
• Lure of the Integers, Joe Roberts, CUP 1996
• Pisot and Salem numbers, M.J. Bertin, A. Decomps-Guilloux, M. Grandet-Hugot, M. Pathiaux-Delefosse, J. P. Schreiber, Birkhäuser 1992, ISBN 0-8176-2648-4, Bull. Amer. Math. Soc. 29 (1993) 274-278, Review by M. Mendes France
• Analytic and Probabilistic Methods in Number Theory, Volume 2, New Trends in Probability and Statistics, Edited by E. Manstavicius and F. Schweiger, VSP Science 1997
• Sphere Packing, Lattices and Groups, (second Edition) J.H. Conway and N.J.A. Sloane, Grundlehren der mathematischen Wissenschaften 290, Springer 1993
• A Classical Introduction to Modern Number Theory, K. Ireland and M. Rosen, (Corrected Second Printing) Graduate Text 84, Springer 1993
• Elementary Number Theory and Its Applications, K.H. Rosen, (4th edition) Addison-Wesley 2000
• Algebraic Function Fields and Codes, H. Stichtenoth, Universitext, Springer 1993
• The Development of the Number Field Sieve, A.K. Lenstra and H.K. Lenstra Jr., LNM 1554, Springer 1993
• Local Fields and Their Extensions: A Constructive Approach, I.B. Fesenko and S.V. Vostokov, Translation of Mathematical Monographs 121, AMS 1993.
• Primes and Programming, P.J. Giblin, CUP, 1993
  • Complete list of Pascal Programs
• Arithmetic of Quadratic Forms, Y. Kitaoka, CUP 1993
• Elliptic Curves, A.W. Knapp, Princeton University Press 1993, Review, R. P. Langlands, Bull. Amer. Math. Soc. 30 (1994), 96-100
• Elementary Theory of L-functions and Eisenstein Series, H. Hida, LMS Lecture Notes 26, CUP 1993, Review, Glenn Stevens, Bull. Amer. Math. Soc. 34 (1997), 67-71
• Arithmetic Algebraic Geometry, (Eds. J.-L. Colliot-Thelene, K. Kato, P. Vojta, E. Ballico), Lecture Notes in Mathematics 1553, Springer 1993
• A Course in Arithmetic, J.-P. Serre, (Corrected 4th printing), Graduate Text 7, Springer 1993
• Squares, A.R. Rajwade, LMS Lecture Notes Series 171, CUP 1993
• Journées Arithmétiques de Genève, (Editors) D.F. Coray and Y.-F.S. Pétermann, Astérisque 209, 1993
• Number Theory, Algebra, Mathematical Analysis and their Applications, Proceedings of the Steklov Institute of Mathematics, vol.200, AMS 1993
• Advances in Number Theory, (ed. F. Gouvêa, N. Yui), Proceedings of the Third Conference of the Canadian Number Theory Association, 1991, Kingston, OUP 1993
• Theta Functions, CRM Proceedings and Lecture Notes 1, AMS 1993
• Introduction to Abelian Varieties, V.K. Murty, CRM Monograph, 3, AMS 1993
• Algebraische Zahlentheorie, Falko Lorenz, Spectrum Akademischer Verlag, 1993 (MR95e:11116)
• p-adic Numbers, F. Gouvêa, Universitext, Springer 1997
• Introduction to Elliptic Curves and Modular Forms, N. Koblitz, Springer Graduate Text 97, 2nd Edition 1993
• The coefficients of the cyclotomic polynomial, G. Bachman, Memoirs of the AMS 106, AMS 1993
• Hilbert's tenth problem, Yuri Matiyasevich 1993

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