Things of interest to number theorists
Note. This page was downloaded from the Number Theory Web.
Computational number theory centres/calculator programs/ftp sites/archives
- LiDIA number theory group, Universität des Saarlandes
- SIMATH number theory group, Universität des Saarlandes
- MAGMA group, University of Sydney
- KANT number theory group, Technisches Universität Berlin
- PARI program, Université de Bordeaux
- UBASIC
- Ivo Düntsch's NUMBERS Calculator
- Algebraic Number Theory Archives
- Paul Leyland's number theory archive, (Cunningham project, A. Lenstra's FreeLIP large integer package)
- Ian Connell's elliptic curve calculator APECS
- John Cremona's Tables of Elliptic Curves
- Complete Tables for Conductors less than 1000
- Table of strong Weil Curves for conductors up to 5077
- Hugh Montgomery's Computational Laboratories in Number Theory (CLINT)
- Mark Riordan's list of multiple precision arithmetic packages
- GNUBC
- Keith Matthews' CALC number theory program
- Inverse Symbolic Calculator
- The Hasse Server: Algebra, Number Theory and Algebraic Number Theory, Technisches Universität München
- Tools on Number Theory
- Morain's Elliptic Curve Primality Proving (ECPP)
- The Ryoh Fuji-Hara Galois Field Package
- Hiroyuki Ogawa's Congruence Zeta Function Calculator
- Field Arithmetic Preprints Archive, Ben Gurion University of the Negev
- Cybanim Cryptography and Kuttaka Large Integer Calculator (Christopher Skinner)
- NTRU Cryptosystems
- ZEN-1.0b Fast computation in finite extensions of finite rings
- NTL: A Library for doing Number Theory
Number theory centres
- Australia
- CeNTRe for Number Theory Research, Macquarie University
- Austria
- Number theory at the University of Vienna
- Number Theory Group, University For Natural Resources, Vienna
- Belgium
- Number Theory and Algebraic Geometry Seminar, KUL-RUG, (Marc Coppens, Jan Denef, Jan Van Geel, Wim Veys)
- UCL Crypto Group
- Brazil
- Automorphic Forms and Number Theory, Universidade de Brasília
- Canada
- Number Theory Research Group at McGill
Centre interuniversitaire en calcul mathématique algébrique (CICMA)
- European Community
- Arithmetical Algebraic Geometry
- Finland
- University of Turku, Finland
- Number Theory Group, Oulu, Finland
- France
- Besançon: Laboratoire de Mathématiques
- Bordeaux
- Caen
- Grenoble: Séminaire de Théorie des Nombres, Institut Fourier
- Lille: Laboratoire d'Algèbre et Théorie des Nombres, (P. Débes)
- Limoges: Théorie Algorithmique des Nombres, Codage et Cryptographie (G. Robin)
- Luminy: Institut de Mathématiques de Luminy: Arithmétique et Théorie de L'Information
- Paris
- Rennes: Géométrie Algébrique
- Strasbourg: Géométrie Algébrique Arithmétique, Strasbourg
- Germany
- Augsburg: Institut für Mathematik, Arbeitsgruppe: Algebra und Zahlentheorie
- Essen: Institute for Experimental Mathematics (IEM), Arbeitsgruppe Zahlentheorie
- Mannheim: Lehrstuhl Mathematik III, Arbeitsgebiet Rainer Weissauer
- Münster
- Saarbrüchen
- Ulm
- Holland
- The Amsterdam (UvA) Number Theory Page
- Computational Number Theory at the CWI Amsterdam
- Number Theory at the Thomas Stieltjes Institute for Mathematics
- Italy
- Number theory group, University of Pisa
- Japan
- Takashi Tasaka's group, Okayama University
- Mathematical Structures I, Graduate School of Information Sciences, Tohoku University
Poland
Adam Mickiewicz University, Poznan
Department of Number Theory, Polish Academy of Sciences
- Russia
- Steklov Mathematical Institute, Laboratory of Analytic Number Theory
- South Africa
- The Centre for Applicable Analysis and Number Theory, University of the Witwatersrand
- UK
- Number Theory Seminar, Cambridge University
- Cardiff Number Theory Centre
- Number Theory in Exeter
- Computational and Algebraic Number Theory, University of Kent at Canterbury
- University of York Number Theory Group
- Number Theory at University of East Anglia
- USA
- Number Theory/Arithmetic Geometry at Brown University
- University of California at Los Angeles Number Theory Group
- Number Theory Seminar, University of Colorado
- Number Theory Group at the University of Georgia
- Number Theory Group, University of Illinois at Urbana-Champaign
- The Institute for Advanced Studies School of Mathematics Special Program in Algebraic Number Theory 1995/96
- Number Theory Group, University of Michigan
- Number Theory Program at the University of South Carolina
- Number Theory Group at the University of Texas
Conferences, new and old
- Algebraic Number Theory and Diophantine Analysis, ICM 1998 Satellite Conference, Graz, August 31-September 4, 1998
- Algebraic and Arithmetic Geometry, ICM 1998 Satellite Conference, Essen, Germany, August 10-15, 1998
- Journées Arithmétiques 20, Limoges, September 15-19, 1997
- 13th Czech and Slovak International Conference on Number Theory, Ostravice, September 1-5, 1997, email conf@osu.cz (See file from Nbthry Archives for details)
- International Conference on Recent Progress in Algebra, August 11-15, 1997, Taejon, South Korea
- Topics in Number Theory, A Conference at Penn State University, July 30-August 3, 1997
- Applications of Curves over Finite Fields, Joint Summer Research Conference, Univ. of Washington, July 27-31, 1997
- Computational Number Theory and Cryptography Workshop, University of Kent, July 14-16, 1997
- Arithmetical Theory of Elliptic Curves, Cetraro, Italy, July 12-20, 1997
- Andrzej Schinzel's 60th Birthday Conference, Warsaw, June 30-July 9, 1997
- International Conference dedicated to D.K. Faddeev, EIMI, St. Petersburg, June 30-July 5, 1997
- Number Theory Day, The Centre for Applicable Analysis and Number Theory, Johannesburg, June 25, 1997
- Algebra, Geometry and Combinatorics, Universidade do Minho, Gualtar, Braga, Portugal, June 19-21, 1997
- 1997 Illinois Number Theory Conference, UIUC, April 4-5, 1997
- 4th Midwest Algebraic Number Theory Day, University of Illinois at Urbana-Champaign, March 29, 1997
- 11th Annual Workshop on Automorphic Forms and Related Topics , University of Colorado, March 23-26, 1997
- 5th SECANTS Meeting, March 22, 1997, Royal Holloway College, London
- Elliptic Curves and Applications, Japan-U.S. Mathematics Institute, Johns Hopkins University, March 20-23, 1997
- Cohomologies p-adiques et applications arithmétiques, Feb 17-July 11, 1997
- Regional Arithmetic Day, Edinburgh, December 17, 1996
- The 1996 West Coast Number Theory Conference, Las Vegas, Dec 15-20, 1996
- Winter Meeting, CMS, London, Canada, Dec 7-9, 1996
- 4th SECANTS Meeting, November 30, 1996, Maths Institute, Oxford
- First LiDIA Users Conference, 4-5 November 1996, TH Darmstadt
- Paul Erdös and his Mathematics, Hungarian Academy of Sciences, October 19, 1996
- Galois Groups of Local and Global Fields, Euler International Mathematical Institute, St. Petersburg, October 18-22, 1996
- Conference on Automorphic Forms, Geometry and Analysis, IAS Princeton, October 9-12, 1966
- Conference on p-adic Theories, Girona, Spain, September 23-27 1996
- Workshop: Drinfield Modules, Modular Schemes and Applications, Alden Biesen, September 9-14, 1996
- Diophantine Analysis and its Applications, A Conference at Minsk, Belarus, September 2-6, 1996 (See LMS Newsletter 237, April 1996, page 8)
- École d'été au château Hirschberg (Allemagne), September 2-14, 1996
- The Fifth Conference of the Canadian Number Theory Association, Carleton University, Ottawa, Canada, August 17-22, 1996
- In Celebration of the Centenary of the Prime Number Theorem, A Symposium on the Riemann Hypothesis, University of Washington, Seattle, August 12-15, 1966
- Number Theory (Diophantine, Computational, Algebraic), Eger, Hungary, July 29-August 2, 1996
- Analytic and Elementary Number Theory Information, Vienna July 19-21, 1996
- Summer School On Number Theory and Its Applications, Bilkent, Turkey, July 29-August 9, 1996
- Séminaire élargi en l'honneur du A. N. Andrianov,July 15-16, 1996
- IMA Program: Emerging Applications of Number Theory, Minnesota, July, 1996
- Summer Mini-Conference on q-Series, June 20-22, 1996, Ohio State University
- Workshop on the Arithmetic of Covers, University of Lille 1, June 12-14, 1996
- Regional Arithmetic Day, University of Nottingham, June 7, 1996
- MEGA 96, The Fourth International Symposium on Effective Methods in Algebraic Geometry, Eindoven, June 4-8, 1996
- South of England Computational and Algebraic Number Theory Seminar (SECANTS 3), Oxford, June 1, 1996
- 13th Seaway Number Theory Conference, Canisius College, Buffalo, May 31-June 1, 1996
- International Conference on Analytic Number Theory, RIMS, Kyoto, May 20-24, 1996
- NSF-CBMS Regional Conference: Euler Products and Eisenstein Series, Texas Christian University, May 20-24, 1996
- Algorithmic Number Theory Symposium (ANTS II), Bordeaux, May 18-23, 1996
- Second Magma Conference on Computational Algebra and Number Theory, Marquette University, Milwaukee, May 12-16, 1996
- Illinois Number Theory Conference, Illinois State University, April 19-20, 1996
- Special Session in Number Theory, AMS Spring Eastern Sectional Meeting, New York, April 13-14, 1996
- Recent Developments in Number Theory, Nottingham, April 12-16, 1996
- 10th Annual Workshop on Automorphic Forms and Related Topics, Stanford, March 27-30, 1996
- Curves and Computation (Elliptic curves conference), Edinburgh, March 24-29, 1996
- Instructional Conference in Representation Theory and Automorphic Forms, Edinburgh, March 17-29, 1996
- Elliptic Curves and Modular Forms Conference, Washington DC, March 15-17, 1996
- Conference in honour of D.J. Newman, Temple University, March 11-14, 1996
- South of England Computational and Algebraic Number Theory Seminar (SECANTS 2), Goldsmiths College, London, March 2nd, 1996
- DIMACS Workshop on Combinatorial Number Theory, DIMACS Center, Rutgers University, February 5-9, 1996
- Nevanlinna Theory and Diophantine Approximation, MSRI, January 22-26, 1996
- Modular Forms and Modular varieties, Osaka University, Jan 22-24, 1996
- Conference on Number Theory and Discrete Mathematics, Tiruchirapalli, January 3-6, 1996
- CMS 50th Anniversary Winter Meeting, Special Session on Computational and Experimental Mathematics, Simon Fraser University, December 9-11, 1995
- South of England Computational and Algebraic Number Theory Seminar (SECANTS 1), Oxford, December 2, 1995
- Third Midwest Algebraic Number Theory Day, University of Michigan, December 2, 1995
- Computational Perspectives on Number Theory - Atkin Conference, Chicago, September 14-16, 1995
- Conference on Fermat's Last Theorem, Boston, August 9-18, 1995
- Symposium on Sieve Methods, Exponential Sums and their Applications, Cardiff, July 17-21, 1995
- 19th Journées Arithmétiques, Barcelona, July 16-20, 1995
- Second Midwest Algebraic Number Theory, UIC, November 5, 1994
- Workshop on Spectral Theory of Automorphic Forms and Number Theory, Oct 24-28, 1994, MSRI Berkeley
- Constructive Methods for Diophantine Equations, Rotterdam, May 30-June 10, 1994
Descriptions of areas/courses in number theory, lecture notes
Online Theses
- Thèse de Doctorat, Stéfane Fermigier, Université, Paris 7, "Arithmétique des courbes elliptiques et application des formules explicites à l'étude des représentations automorphes"
- The Levels of Modular Representations, PhD Thesis, Kevin Buzzard, Cambridge University (dvi.gz file, 170K - download, gunzip and xdvi!)
- Diplomarbeiten und Dissertationen, Mathematische Informatik, Frankfurt
- Algorithms for the Determination of Polynomials with Small Mahler Measure, PhD Thesis, Michael Mossinghoff, University of Texas, Austin, 1995 (160K gzipped ps file)
- Thèse de Doctorat : Extensions vectorielles, périodes et hauteurs (décembre 1995), Antoine Chambert-Loir (287K ps.gzip)
- Probabilistic and Constructive Methods in Harmonic Analysis and Additive Number Theory, Mihail Kolountzakis, Thesis, Stanford, May 1994
- Refined class number formulas for derivatives of L-series, PhD Thesis, Henri Darmon, Harvard 1991
- Generalization of the ABC-conjecture, N.R. Bruin, Master Thesis, Leiden University, 1995 (ps file 223K)
- Diophantine Approximation on Projective Spaces over Number Fields, PhD Thesis, Stephen Kwok-Kwong Choi, U. of Austin, Texas, 1996
- Some Explicit Estimates on Linear Diophantine Equations in Three Prime Variables, M.Phil. Thesis (Abstract), Stephen Kwok-Kwong Choi, U. of Hong Kong, 1991
- On a Conjecture of Gross, PhD Thesis (Abstract), Joongul Lee, U. of Texas at Austin, 1996
- Euclidean Systems, PhD Thesis, Stefan Treatman, University of Michigan 1996 (dvi 137K)
- Explicit Representation of Fundamental Units of Some Quadratic Fields, Masters Thesis, Koshi Tomita, Nagoya University 1995
Journals specializing in number theory
Journals specializing in cognate areas to number theory
Contents of Periodicals, BMI Bordeaux 1
Publishers/Booksellers/Libraries
Recent/Forthcoming Books in Number Theory
1993 or before
- Arithmetical Functions, K. Chandrasekharan, Grundlehren der mathematischen Wissenschaften 167, Springer 1970
- Elliptic Modular Functions, B. Schoeneberg, Grundlehren der mathematischen Wissenschaften 203, Springer 1974
- Abstract Analytic Number Theory, J. Knopfmacher, Noth Holland Mathematical Library 12, 1975
- Elliptic Functions According to Eisenstein and Kronecker, A. Weil, Ergebnisse der Mathematik 88, Springer 1976
- 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
- Analytic Arithmetic of Algebraic Function Fields, J. Knopfmacher, Lecture Notes in Pure and Applied Mathematics 50, Marcel Dekker, 1979
- 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
- Selected Topics on Polynomials, A. Schinzel, University of Michigan Press 1982, ISBN 0-472-08026-1
- Lectures on Sieve Methods and Prime Number Theory, Y. Motohashi, Tata Institute Lectures on Mathematics and Physics, Springer 1983
- Number Theory, W. Narkiewicz (English Edition, World Scientific, 1983 (ISBN: 9971-950-26-X)
- 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
- Diophantine Equations over Function Fields, R.C. Mason, LMS Lecture Notes Series 96, CUP 1984
- 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
- 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
- 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
- Algebraic Number Theory, I.N. Stewart and D.O. Tall, (Second Edition), Chapman and Hall 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
- 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
- Elementary Theory of Numbers, (Second Edition), W. Sierpinski, Elsevier 1988
- New Advances in Transcendence Theory, A. Baker (Ed.), CUP 1988
- Divisors, R.R. Hall, Cambridge Tract 90, 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 (second edition) John Brillhart, D. H. Lehmer, J. L. Selfridge, Bryant Tuckerman, and S. S. Wagstaff, Jr. Contemporary Mathematics 22, AMS 1988
- The Collected Papers of Hans Arnold Heilbronn, E. Kani, R.A. Smith, J.Wiley & Sons, New York, 1988.
- 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
- Binary Quadratic Forms, D.A. Buell, Springer 1989
- 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
- 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
- Elementary and Analytic Theory of Algebraic Numbers, W. Narkiewicz, (Second Edition), Springer 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, 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
- 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
- The Little Book of Big Primes, P. Ribenboim, Springer 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
- Van der Corput's Method for Exponential Sums, S.W. Graham and G. Kolesnik, LMS Lecture Notes 126, CUP 1991
- L-Functions in Arithmetic, J.H. Coates, 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
- Lectures on Mean Values of the Riemann Zeta Function, A. Ivic, Tata Institute Lectures on Mathematics and Physics, Springer 1991
- Additive Number Theory of Polynomials over a Finite Field, D.R. Hayes and G.W. Effinger, OUP 1991
- New York Number Theory Seminar 1989-1990, (Ed) D.V. Chudnovsky, G.V. Chudnovsky, H. Cohn, M.B. Nathanson, Springer 1991
- Algebraische Zahlentheorie, J. Neukirch, Springer 1992
- Rational Points on Elliptic Curves, J.H. Silverman and J. Tate, (second printing), Undergraduate Text, Springer 1992
- Number Theory II, H. Koch, Encylopaedia of Mathematics 62, Springer 1992
- 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, (Sixth Edition) CUP 1992
- From Number Theory to Physics, (Ed. M. Waldschmidt et al), Springer 1992, Corrected 2nd 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. Vorinin, Translated by N. Koblitz, de Gruyter, 1992
- 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
- 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, (third edition), K.H. Rosen, Addison-Wesley 1993, ISBN 0-201-57889-1
- 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
- Arithmetic of Quadratic Forms, Y. Kitaoka, CUP 1993
- Elliptic Curves, A.W. Knapp, Princeton University Press 1993
- Elementary Theory of L-functions and Eisenstein Series, H. Hida, LMS Lecture Notes 26, CUP 1993
- 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. N. Yui, F.Q. Gouvêa), 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)
- Arithmetic of p-adic Modular Forms, F. Gouvêa, Lecture Notes 1304, Springer 1988
- p-adic Numbers, F. Gouvêa, Universitext, Springer 1993
- The coefficients of the cyclotomic polynomial, G. Bachmann, Memoirs of the AMS 106, AMS 1993
- Décomposition Spectrale et Séries d'Eisenstein, C. Moeglin, J.-L. Waldspurger, Birkhaüser 1993
1994
- Séminaire de Théorie des Nombres, Paris, 1991-1992, Progress in Mathematics 116, Birkhaüser 1994, ISBN 0-8176-3741-9
- Prime Numbers and Computer Methods for Factorization, H. Riesel, Progress in Mathematics 126, Birkhaüser 1994, ISBN 0-8176-3743-5
- Arithmetic of Algebraic Curves, S.A. Stepanov, Consultants Bureau, New York and London, 1994, ISBN 0-306-11036-9
- Complex Analysis in Number Theory, A. Karatsuba, CRC Press 1994, ISBN 0-8493-2866-7
- Algorithmic Number Theory (ANTSI), Lecture Notes in Computer Science Vol. 877, Springer 1994, ISBN 3-540-58691-1
- Advanced Topics in the Arithmetic of Elliptic Curves, J.H. Silverman, Graduate Text 151, Springer, 1994, ISBN 3-540-96203-4
- On Artin's Conjecture for Odd 2-dimensional Representations, G. Frey, Lecture Notes in Mathematics 1585, Springer 1994, ISBN 3-540-58387-4
- Explicit Formulas for Regularized Products and Series, J.A. Jorgenson, S. Lang, D. Goldfeld, Lecture Notes in Mathematics 1593, Springer 1994, ISBN 3-540-56873-3
- Unsolved Problems in Number Theory, (Second Edition), R.K. Guy, Problem Books in Mathematics, Springer 1994, ISBN 3-540-94289-0
- Algebraic Number Theory, (Second Edition), S. Lang, Graduate Texts in Mathematics 110, Springer 1994, ISBN 3-540-94225-4
- A Course in Number Theory and Cryptography, (Second Edition), N. Koblitz, Graduate Texts in Mathematics 114, Springer 1994, ISBN 0-540-94293-9
- The Arithmetic of Elliptic Curves, (3rd printing), J.H. Silverman, Graduate Text 106, Springer 1994
- Introduction to Finite Fields and Their Applications, R. Lidl and H. Niederreiter, (Second Edition), CUP 1994
- Arithmetical Functions, W. Schwarz and J. Spilker, LMS Lecture Notes 184, CUP 1994
- Shintani Zeta Functions, Y. Akihiko, LMS Lecture Notes 183, CUP 1994
- Arithmetic Geometry, N. Childress and J. Jones, Contemporary Mathematics 174, AMS 1994
- Ten Lectures on the Interface Between Analytic Number Theory and Harmonic Analysis, H.L. Montgomery, CBMS Regional Conference Series in Mathematics, AMS 1994
- Algebra and Number Theory, Proceedings of a Conference at Essen, December 2-4, 1992, Ed. G. Frey, de Gruyter 1994
- Elliptic Curves and Related Topics, H. Kisilevsky, R. Murty, CRM Proceedings and Lecture Notes 4, AMS 1994
- On the Correlation of Multiplicative and the Sum of Additive Arithmetic Functions, P.D.T.A. Elliot, Memoirs of the AMS 112, no.538, 1994
- Projects in Scientific Computation, R.E. Crandall, Springer 1994
- Teoria dos números, S. Shokranian, M. Soares, H. Godinho, Editora Universidade de Brasilia (1994)
- Variations on a Theme of Euler: Quadratic Forms, Elliptic Curves and Hopf Maps, T. Ono, Plenum 1994
1995
- A Course in Computational Number Theory, (Corrected Second Printing), H. Cohen, Graduate Texts in Mathematics 138, Springer 1995, ISBN 3-540-55640-0
The errata are available via anonymous ftp at ftp://megrez.ceremab.u-bordeaux.fr in /pub/cohenbook.
- Columbia University Number Theory Seminar, Astérisque 228, 1995.
- Quadratics, R.A. Mollin, CRC Press 1995, ISBN 0-8493-3983-9
- Number Theory with Applications, W.-C.W. Li, World Scientific 1995
- Computational Algebra and Number Theory, ed. W. Bosma and A. van der Poorten, Mathematics and its Applications 325, Kluwer 1995, ISBN 0-7923-3501-5
- Davenport-Schinzel Sequences and Their Geometric Applications, M. Sharir and P.K. Agarwal, CUP 1995, ISBN 0-521-47025-0
- Quadratic Forms with Applications to Algebraic Geometry and Topology, A. Pfister, LMS Lecture Note Series 217, CUP, ISBN 0-521-46755-1
- An Introduction to the Theory of the Riemann Zeta Function, S.J. Patterson (paperback) Cambridge Studies in Advanced Mathematics 14, CUP, ISBN 0-521-49905-4
- Introduction to Analytic and Probabilistic Number Theory, G. Tenenbaum, Cambridge Studies in Advanced Mathematics 46, CUP, ISBN 0-521-41261-7
- Sèminaire de Théorie des Nombres, Paris, 1992-93, ed. S. David, LMS Lecture Notes Series 215, CUP, ISBN 0-521-55911-1
- Handbook of Number Theory, D.S. Mitrinovic, J. Sandor, B. Crstici, Mathematics and its Applications 351, Kluwer 1995, ISBN 0-7923-3823-5
- Number Theory I, (ed) A.N. Parshin, I.R. Shafarevich, Encylopaedia of Mathematical Sciences 49, Springer 1995, ISBN 3-540-53384-2
- Lectures on Sieve Methods and Prime Number Theory, Y. Motohashi, Springer 1995, ISBN 3-540-12281-8
- Arithmetic of Diagonal Hypersurfaces over Finite Fields, F.Q. Gouvêa, N. Yui, LMS Lecture Notes 209, CUP, 1995, ISBN 0-521-49834-1
- Introduction to Modular Forms, (Corrected Second Printing), S. Lang, Grundlehren der mathematischen Wissenschaften 222, Springer 1995, ISBN 3-540-07833-9
- Polynomials and Polynomial Inequalities, P. Borwein and T. Erdélyi, Graduate Text 161, Springer 1995
- Polynomial Mappings, W. Narkiewicz, Lecture Notes in Mathematics 1600, Springer 1995
- Cohomology of Drinfeld Modular Varieties: Part 1: Geometry, Counting of Points and Local Harmonic Analysis, G. Laumon, Cambridge Studies in Advanced Mathematics 41, CUP 1995
- Basic Number Theory, A. Weil, (Reprint, 2nd Edition), Springer 1995
- Explicit Brauer Induction, V. Snaith, Cambridge Series in Advanced Mathematics 40, CUP 1995
- Fonctions L p-adiques des Représentations p-adiques, B. Perrin-Riou, Astérisque 229, 1995
- Number Theoretic and Algebraic Methods in Computer Science, Ed. A.J. van der Poorten, I. Shparlinski and H.G. Zimmer, World Scientific 1995
- The Encyclopedia of Integer Sequences, N.J.A. Sloane and S. Plouffe, Academic Press 1995
- Number Fields, D. Marcus, (3rd corrected printing), Universitext, Springer 1995
- Introduction to Diophantine Approximations, S. Lang, (2nd expanded edition), Springer 1995
- Introduction to Algebraic and Abelian Functions, S. Lang, (2nd corrected Printing), Graduate Text 89, Springer 1995
- Cryptography: Theory and Practice, D.R. Stinson, CRC Press 1995
- A Course in Number Theory, 2nd Edition, H.E. Rose, OUP 1995
- Algebraic Number Fields, Second Edition, G.J. Janusz, Graduate Studies in Mathematics 7, AMS 1995
- Lectures on the Mean-value and Omega Theorems for the Riemann Zeta-function, K. Ramachandra, Tata Institute Lectures on Mathematics and Physics, Springer 1995
- From Polynomials to Squares, T.H. Jackson, Institute of Physics Publishing, 1995
- Seminar on Fermat's Last Theorem, V.K. Murty, Conference Proceedings, Canadian Mathematical Society 17, AMS 1995
- Density of prime divisors of linear recurrences, C. Ballot, Memoirs of the AMS 115, AMS 1995
- Elliptic Curves, Modular Forms and Fermat's Last Theorem, (ed) J.H. Coates and S.T. Yau, International Press, Harvard 1995
1996
- Algorithmic Number Theory, Vol. 1, E. Bach and J. Shallit , MIT Press, August 1996
- Automorphic Forms and Representations, D. Bump, CUP (to appear late 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
- 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, to appear June, 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
- 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
- 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
- An Arithmetic Riemann-Roch Theorem for Singular Arithmetic Surfaces, W. Aitken, Memoirs of the AMS 120/573, AMS 1996
- 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
- The New Book of Prime Number Records, 3rd Edition, P. Ribenboim, Springer 1996
- 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
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- The Man Who Knew Infinity (A life of the genius Ramanujan), R. Kanigel, Washington Square Press 1992
- The Apprenticeship of a Mathematician, A. Weil, ISBN 0-8176-2650-6, Birkhaüser 1992
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