Number Theory Books, 1996

• P-adic Numbers, p-adic Analysis and Zeta-Functions, (2nd edn.) N. Koblitz, Graduate Text 54, Springer 1996.
• Algorithmic Number Theory, Vol. 1, E. Bach and J. Shallit , MIT Press, August 1996
  • Algorithmic Number Theory - Bibliography, BibTeX files for Algorithmic Number Theory, Vol. 1, J.O. Shallit, Eric Bach, MIT Press 1996
• Automorphic Forms and Representations, D. Bump, CUP 1996
• Notes on Fermat's Last Theorem, A.J. van der Poorten, Canadian Mathematical Society Series of Monographs and Advanced Texts, Wiley-Interscience, January, 1996, ISBN 0-471-06261-8
  • Review of Alf van der Poorten's Notes on Fermat's Last Theorem by Andrew Granville
• Additive Number Theory: The Classical Bases, Melvyn B. Nathanson, Graduate Texts in Mathematics 164, Springer 1996
• Additive Number Theory: Inverse Problems and the Geometry of Sumsets, Melvyn B. Nathanson, Graduate Texts in Mathematics 165, Springer 1996
• Arithmetic, Geometry and Coding Theory, Proceedings of a Conference at CIRM Luminy, June 28-July 2, 1993, Ed. R.Pellikaan, M. Perret, S.G. Vladut, de Gruyter 1996
• Duality in Analytic Number Theory, P.D.T.A. Elliot, Cambridge Tracts in Mathematics 122, CUP 1996
• Invitation to Arithmetic Geometry, Dino Lorenzini, Graduate Studies in Mathematics 9, AMS 1996
• Prolegomena to a Middlebrow Arithmetic of Curves of Genus 2, J.W.S. Cassels and E.V. Flynn, LMS Lecture Note Series 230, CUP 1996
  • Victor Flynn's Curves of Genus 2 ftp site
• Sets of Multiples, R.R. Hall, Cambridge Tracts in Mathematics 118, CUP 1966
• Limit Theorems for the Riemann Zeta Function, A. Laurincikas, Mathematics and its Applications 352, Kluwer 1996
• Handbook of Combinatorics, (eds.) R.L. Graham, M. Grötschel, L. Lovász, MIT Press 1996
• A Friendly Introduction to Number Theory, J.H. Silverman, Prentice Hall, Fall 1996
• Number Theory: an Introduction, D. Redmond, Pure and Applied Mathematics Series 201, Marcel Dekker 1996
• Area, Lattice Points, and Exponential Sums, M.N. Huxley, LMS Monograph 13, OUP 1996 (with errata)
• Orders of a Quartic Field, J. Nakagawa, Memoirs of the AMS 122/583, AMS 1996
• Multiplicative Galois Structure, A. Weiss, Fields Institute Monograph 5, AMS 1966
• Topics in Advanced Scientific Computation, R.E. Crandall, Springer 1996
• Analytic Number Theory: Proceedings of Conference in Honour of Heini Halberstam (ed) B.C. Berndt, H.G. Diamond, A.J. Hildebrandt, Progress in Mathematics 139, Birkhaüser 1966
• Basic Structures of Function Field Arithmetic, D. Goss, Springer, Ergebnisse der Math. Vol 35, due September 1996
  • Table of Contents (dvi 32K)
• The New Book of Prime Number Records, 3rd Edition, P. Ribenboim, Springer 1996
  • Official Additions and Errata
• Selected Papers of Yu I. Manin, Twentieth Century Mathematics Vol. 3, World Scientific 1996
• Perfect, Amicable and Sociable Numbers - A Computational Approach, Song Y. Yan, World Scientific 1996
• Mahler functions and transcendence, K. Nishioka, Springer Lecture Notes 1631, 1996
• New York Number Theory Seminar 1991-1995, (Ed) D.V. Chudnovsky, G.V. Chudnovsky, H. Cohn, M.B. Nathanson, Springer 1996
• Deformation of Galois Representations and Modular Forms, Lecture notes of Barry Mazur by Chuck Doran and Siman Wong, International Press, Harvard 1995
• The Mathematics of Paul Erdös, Volumes I and II, (ed.) R.L. Graham, J. Nesetril, Springer Algebra and Combinatorics 13 and 14, 1996
• An Arithmetic Riemann-Roch Theorem for Singular Arithmetic Surfaces, Wayne Aitken, Memoirs of the AMS, Vol 120/573, 1996
• Seminaire de Theorie des Nombres (15th: 1993, Paris), Ed. S. David, CUP 1996
• Theory of Algebraic Integers by Richard Dedekind, Translated by John Stillwell, CUP 1996
• Cohomology of Drinfeld Modular Varieties, Part II: The Arthur-Selberg Trace Formula, G. Laumon, Cambridge Studies in Advanced Mathematics 56, CUP 1996 (Appendix by J.L. Waldspurger)
• Proceedings of the Conference on Analytic and Elementary Number Theory (Vienna, July 1996) in honour of Edmund Hlawka's 80th birthday
• Les Réseaux parfaits des espaces euclidiens, Jacques Martinet, Masson, Paris 1996
• Chinese Remainder Theorem, C. Ding, D. Pei, A.Salomaa, World Scientific 1996
• Number Theory and Analysis, Ed. A.A. Karatsuba and V.I. Blagodatskikh, AMS 1996

Number Theory Books, 1997

• Analytic Number Theory and Applications: Collection of papers on the occasion of the 60th birthday of Anatolli Alexeevich Karatsuba, Proc. Steklov Institute 218 (1997)
• Probabilistic Methods in the Theory of Numbers, J. Kubilius, 5th printing 1997, AMS
• The Hardy-Littlewood Method, R.C. Vaughan (2nd Edn) Cambridge Tract 125, CUP 1997
• Sequences, discrepancies and applications, R.F. Tichy, M. Drmota, Lecture Notes in Mathematic 1651, Springer 1997
• The semi-simple zeta function of quaternionic Shimura varieties, H. Reimann, Lecture Notes in Mathematic 1657, Springer 1997
• Algorithmische Zahlentheorie, Otto Forster, Vieweg 1996
• Spectral Theory of the Riemann Zeta-Function, Y. Motohashi, Cambridge Tract 127, CUP 1997
• Realizations of Polylogarithms, J. Wildeshaus, Springer, Lecture Notes in Mathematics Vol 1650
• Number Theory IV: Transcendental Numbers, Yu.V. Nesterenko, N.I. Feldman, Springer, Encyclopaedia of Mathematical Sciences Vol 44
• Number Theory with Computer Applications, R. Kumanduri and C. Romero, Prentice Hall 1997
• Fundamental number theory with applications, Richard Mollin, CRC Press 1997
• The Book of Numbers, J.H. Conway, R.K. Guy, Springer 1996 (See the short review by Ian Stewart)
• Les Nombres Premiers, G. Tenenbaum, M. Mendes France, Que Sais-je? N° 571, PUF 1997, ISBN 2-13-048399-2
• Zahlentheorie, Algebraische Zahlen und Funktionen, H. Koch, Aufbaukurs Mathematik, Vieweg Studium, 1997, ISBN 3-528-07272-5
• The Proceedings of the Organic Mathematics Workshop, J. Borwein, P. Borwein, R. Corless, L. Jorgenson, Canadian Math. Soc. Conference Proceedings No 20, 1997
• Pi: A Source Book, L. Berggren, J. Borwein, P. Borwein, Springer-Verlag 1997
• Number Theory, Ed. V.K. Murty, M. Waldschmidt, Contemporary Mathematics, 210 AMS 1997
• Topics in Classical Automorphic Forms, H. Iwaniec, Graduate Studies 17, AMS 1997
• Euler Products and Eisenstein Series, G. Shimura, CBMS Regional Conference Series 93, AMS 1997
• Exercicés Corrigis de Théorie Analytique et Probabiliste des Nombres, G. Tenenbaum, Cours Spécialisés - Collection SMF 1997
• Elliptic Curves, Function Theory, Geometry, Arithmetic, H. McKean, V. Moll, CUP 1997
• Diophantine Approximation and Abelian Varieties, B. Edixhoven, J.-H. Evertse, Springer Lecture Notes 1566 (second printing 1997)
• An Introduction to the Geometry of Numbers, J.W.S. Cassels, Classics in Mathematics, Springer 1997
• The Queen of Mathematics, A Historical Guide to Number Theory, J. Goldman, A.K. Peters 1997
• Modular Forms and Fermat's Last Theorem, G. Cornell, J.H. Silverman, G. Stevens (Editors), Springer 1997
• Automorphic Forms on SL2(R), A. Borel, Cambridge Tract 130, CUP 1997
• Non-vanishing of L-Functions and Applications, M.R. Murty, V.K. Murty, Progress in Mathematics 157, Birkhaüser 1997
• Analytic Number Theory, D.J. Newman, Graduate Text 177, Springer 1997
• The Sensual (Quadratic) Form, J.H. Conway, Carus Mathematical Monograph 26, 1997 MAA
• Analytic Number Theory, Edited by Y. Motohashi, LMS Lecture Note Series, 1997
• Sieve Methods, Exponential Sums and their Applications in Number Theory, Edited by G.R.H. Greaves, G. Harman, M.N. Huxley, LMS Lecture Note Series, 1997
• Analytic and Probabilistic Methods in Number Theory, Volume 4, New Trends in Probablilty and Statistics, Edited by A. Laurincikas, E. Manstavicius and V. Stakenas, VSP Science 1997
• Diophantus and Diophantine Equations, I. G. Bashmakova, MAA 1997

Number Theory Books, 1998

• Lattice Basis Reduction Algorithms and their Applications, G.S. Wetzel, Shaker Verlag 23, 1998
• Computational Perspectives on Number Theory: Proceedings of a Conference in Honor of A. O. L. Atkin, Ed. D. A. Buell, J. T. Teitelbaum, AMS/IP Studies in Advanced Mathematics, Vol 7, 1998
• Elementary Number Theory, G.A.J. Jones, J.M. Tyrer-Jones, Undergraduate Texts in Mathematics, Springer 1998
• Cubic Metaplectic Forms and Theta Functions, N. Proskurin, Lecture Notes in Mathematics 1677, Springer 1998
• Abelian Varieties with Complex Multiplication and Modular Functions, G. Shimura, Princeton Mathematical Series 46, 1998
• The Dynamical System Generated by the 3n+1 Function, G.J. Wirsching, Lecture Notes in Mathematics 1682, Springer 1998
• On the Search of Genuine p-adic Modular L-Functions for GL(n), H. Hida, Memoires de la Société Mathématique de France, 1998
• Édouard Lucas and Primality Testing, Hugh C. Williams, Wiley, Canadian Mathematical Society Series of Monographs and Advanced Texts, 1998
• Gauss and Jacobi Sums, B.C. Berndt, R.J. Evans, K.S. Williams, Wiley, Canadian Mathematical Society Series of Monographs and Advanced Texts, 1998
• The Algorithmic Resolution of Diophantine Equations, A Computational Cookbook, N.P. Smart, LMS Lecture Notes, CUP 1998
• Ideal Systems, An Introduction to Multiplicative Ideal Theory, Franz Halter-Koch, Vol 211, Pure and Applied Mathematics, Marcel Dekker 1998
• Metric Number Theory, G. Harman, OUP 1998
• Stream Ciphers and Number Theory, T.W. Cusick, C. Ding, A. Renvall, Elsevier, 1998
• Number Theory with Applications, James A. Anderson, James M. Bell, Prentice Hall, 1997
• Rational Points, G. Faltings, G. Wüstholz, Aspects of Mathematics 6, 1998, Vieweg
• Number Theory: A Programmer's Guide, Mark A. Herkommer, McGraw-Hill, 1998
• The Theory of Algebraic Number Fields, A translation of Hilbert's Zahlbericht by I.T. Adamson
• Number Theory and Its Applications, Ed. Y.C. Yaldirin, S.A. Stepanov, Marcel Dekker 1998
• Implementing Elliptic Curve Cryptography, M. Rosing, Manning Publications Co., 1998
• The man who loved only numbers, by Paul Hoffman, Fourth Estate, London 1998
• Algebraic Aspects of Cryptography , N. Koblitz, Springer 1998
• Combinatorial Algorithms: Generation, Enumeration, and Search, D. Kreyer, D.R. Stinson, CRC Press 1998
• Kryptographie in C und C++, M. Welschenbach, Springer 1998
  
• Hua Loo-Keng, a Biography, Wang Yuan, Springer 1998
• Modern Computer Algebra, J. von zur Gathen, J. Gerhard, CUP 1998
• Diophantus and Diophantine Equations, I.G. Bashmakova, CUP, 1998
• Galois Representations in Arithmetic Algebraic Geometry, LMS Lecture Notes 254, CUP 1998
• Handbook of Applied Cryptography, A.J. Menezes, P.C. van Oorschot, S.A. Vanstone , CRC Press 1998
• Galois Representations in Arithmetic Algebraic Geometry, A.J. Scholl, R.L. Taylor, LMS Lecture Notes Series 254, CUP 1998
• Algebraic Geometry, D. Bump, World Scientific 1998
• Groups acting on hyperbolic space: harmonic analysis and number theory, J. Elstrodt, F. Grunewald, J. Mennicke, Springer 1998
• Ramanujan's Notebooks Part V, B.C. Berndt, Springer 1998
• Ramanujan's Notebooks Part II, B.C. Berndt, Springer 1998
• Einführung in die Elementare Zahlentheorie, F. Schwarz, Teubner 1998

Number Theory Books, 1999

• Theory of Linear and Integer Programming, A. Schrijver, Wiley 1999
• Fourier Analysis on Number Fields, D. Ramakrishnan, R.J. Valenza, Graduate Text 186, Springer 1999
• Fermat's Last Theorem for Amateurs, P. Ribenboim, Springer 1999
• Problems in Algebraic Number Theory, J. Esmonde, M.R. Murty, Graduate Text 190, Springer 1999
• Number Theory for Computing, S.Y. Yan, Springer May 1999
• Elementary Number Theory in Nine Chapters, J.J. Tattersall, CUP, July 1999
• Algorithmic Algebra and Number Theory, (Selected papers From a Conference Held at the University of Heidelberg in October 1997), Ed. B.H. Matzat, G-M. Greuel, Springer 1999
• Proceedings of the Fifth Conference of the Canadian Number Theory Association, Ed. R. Gupta, K.S. Williams, AMS 1999
• Number theoretic methods in cryptography: Complexity lower bounds, I. Shparlinski, PCS 17, Birkhäuser, 1999
• Polynomials: An Algorithmic Approach, M. Mignotte, D. Stefanescu, Springer 1999
• The Theory of Classical Valuations, P. Ribenboim, Springer 1999
• Elliptic Curves and Cryptography, I. Blake, G. Seroussi, N. Smart, CUP, June 1999
• Topics In Number Theory, Proceedings of a conference in honor of B. Gordon and S. Chowla, Ed. S. Ahlgren, G. Andrews and K. Ono, Kluwer 1999
• Finite fields: Theory and computation, I. Shparlinski, Kluwer Academic Publishers 1999
• Algebraic Number Theory, R.A. Mollin, CRC Press 1999
• Progress in Number Theory, Ed. K. Györy, H. Iwaniec, J. Urbanowicz, De Gruyter 1999
• Prime Numbers and their distribution, G. Tenenbaum, M. Mendès France, AMS 1999
• Sphere Packing, Lattices and Groups, (Third Edition), N. Sloane, J.H. Conway, Springer 1999
• Emerging Applications of Number Theory, (Ed.) D.A. Hejhal, J. Friedman, M.C. Gutzwiller, A.M. Odlyzko, Springer 1999
• Introdução à Teoria dos Números, José Plinio de Oliveira Santos, IMPA 1999
• Voronoi's Impact on Modern Science, Proceedings of the Voronoi Conference at Kiev, 1998
• Algebraic Number Theory, J. Neukirch, Springer 1999
• Exponential Sums with Finitely Generated Groups and their Applications, S. Konyagin, I. Shparlinski, CUP 1999
• Automorphic Forms, Automorphic Representations, and Arithmetic, Ed. R.S. Doran, Z-L. Dou, G.T. Gilbert, Proc. Symposia in Pure Mathematics 66, 1999, AMS
• Elliptic curves and their applications to cryptography, A. Enge, Kluwer 1999
• Fourier analysis on finite abelian groups and applications, A. Terras, LMS Student Texts, CUP 1999
• Sums of k unit fractions, Christian Elsholtz, Shaker Verlag 1999
• Structure Theory of Set Addition, Jean-Marc Deshouillers, Bernard Landreau, Alexander A. Yudin (Ed.) Astérisque 258 (1999)
• Arithmetic theory of elliptic curves, J. Coates, R. Greenberg, K. Ribet, K. Rubin, C. Viola (Ed), Springer Lecture Notes 1716, 1999
• Number Theory 1, Fermat's Dream, Translation of Mathematical Monographs, AMS 1999
• Metric Diophantine Approximation on Manifolds, V.I. Bernik, M.M. Dodson, CUP 1999
• Solved and Unsolved Problems in Number Theory, Daniel Shanks, Third Edition, (American Mathematical Society Bookstore)
• Getaltheorie voor beginners, F. Beukers, Epsilon Uitgaven, Utrecht 1999
• Codes on Algebraic Curves, S.A. Stepanov, Kluwer 1999
• Algebra and Number Theory, Ed. M. Boulagouaz, J.-P. Tignol, Lecture Notes in Pure and Applied Mathematics 208, Marcel Dekker 1999
• Integral Quadratic Forms and Lattices, M-H. Kim, J.S. Hsia, Y. Kitaoka, Contemporary Mathematics 249, AMS 1999
• Fundamental Problems in Algorithmic Algebra, C.K. Yap, OUP 1999
• Random Matrices, Frobenius Eigenvalues and Monodromy, N.M. Katz, P. Sarnak, AMS Colloquium Publications Vol 45 1999
• Oxford Figures, J. Fauvel, R. Flood, R.J. Wilson, OUP 1999
• Number Theory and Its Applications, Ed. S. Kanemitsu, K. Györy, Developments in Mathematics 2, Kluwer 1999
• Analytic and Elementary Number Theory, (A Tribute to Mathematical Legend Paul Erdös), Developments in Mathematics 1, Kluwer 1998

Number Theory Books, 2000

• Primes, a computational perspective, C. Pomerance, R. Crandall, Springer 2000
• Polynomials with special regard to reducibility, Andrzej Schinzel, CUP 2000
• The Collected Papers of Sarvadaman Chowla, (Vols 1-3), Centre de Recherches Mathématiques , Université de Montréal, 2000
• Advanced topics in computational number theory, H. Cohen, Graduate Text 193, Springer, January 2000
• Elementary Methods in Number Theory, M.B. Nathanson, Graduate Text in Mathematics 195, Springer 2000
• Coding Theory and Cryptography, Ed. D. Joyner, Springer 2000
• The Fourier-Analytic Proof of Quadratic Reciprocity, M.C. Berg, Wiley 2000
• Diophantine Approximation on Linear Algebraic Groups, M. Waldschmidt, Grundlehren Series 326, Springer 2000
• The Development of Prime Number Theory, W. Narkiewicz, Monographs in Mathematics XII, Springer 2000
• Reciprocity Laws - From Euler to Eisenstein, F. Lemmermeyer, Monographs in Mathematics XIX, Springer 2000
• Diophantine Geometry, An Introduction, M. Hindry, J.H. Silverman, Graduate Text 201, Springer 2000
• A Course in p-adic Analysis, A. Robert, Graduate Text 198, Springer 2000
• Cohomology of Number Fields, J. Neukirch, A. Schmidt, K. Wingberg, Grundlehren Series 323, Springer 2000; plus errata
• My Numbers, My Friends , P. Ribenboim, Monographs in Mathematics, Springer 2000
• An Introduction to Cryptography, R.A. Mollin, Chapman and Hall/CRC, Boca Raton, London, New York, Washington D.C. 2000
• Codes and Curves, J. Walker, Student Mathematical Library 7, 2000, AMS
• An Introduction to the Theory of Local Zeta Functions, J-I. Igusa, AMS/IP Studies in Advanced Mathematics 14, 2000, AMS
• Number Theory, Ed. R.P. Bambah, V.C. Dumir, R.J.H. Gill, Trends in Mathematics, Birkhäser 2000
• Number Theory: Algebraic Numbers and Functions, H. Koch, AMS Graduate Studies in Mathematics, Vol 24, 2000
• Arithmeticity in the Theory of Automorphic Forms, G. Shimura, AMS Mathematical Surveys and Monographs 82, 2000
• Exploring the Number Jungle: A Journey into Diophantine Analysis, E.B. Burger, AMS Student Mathematical Library 8, 2000
• Fractal Geometry and Number Theory, M.L. Lapidus, M. van Frankenhuysen. Birkhaüser, 2000
• In Code, a mathematical journey, S. Flannery, D. Flannery, Profile Books 2000
• Selected Works of Ilya Piatetski-Shapiro, Ed. J. Cogdell, S. Gindikin, P. Sarnak. AMS Collected Works 15, 2000
• Euler Systems, K. Rubin, Annals of Mathematics Studies, Princeton University Press 2000
• Taming Wild Extensions: Hopf Algebras and Local Galois Module Theory, L.N. Childs, AMS Mathematical Surveys and Monographs, 80 (2000)
• Algebraic Number Theory and Diophantine Analysis, Proceedings of the International Conference, held in Graz, Austria, August 30-September 5, 1998 Editors: Franz Halter-Koch 7 Robert F. Tichy
• Galois Cohomology of Elliptic Curves, J. Coates, R. Sujatha, Tata Institute of Fundamental Research Series, AMS 2000
• Modular Forms and Galois Cohomology, H. Hida, Cambridge Studies in Advanced Mathematics, CUP 2000
• Algorithmic Number Theory, Proceedings of ANTS-IV, LNCS 1838, Springer 2000

Return to Menu page

Return to Number Theory Web page

Last modified 18th September 2000