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A Course in Arithmetic (Hardcover, 1st Corrected ed. 1973. Corr. 3rd printing 1996): J.P. Serre A Course in Arithmetic (Hardcover, 1st Corrected ed. 1973. Corr. 3rd printing 1996)
J.P. Serre
R1,692 Discovery Miles 16 920 Ships in 10 - 15 working days

Serre's A Course in Arithmetic is a concentrated, modern introduction to basically three areas of number theory, quadratic forms, Dirichlet's density theorem, and modular forms. The first edition was very well accepted and is now one of the leading introductory texts on the advanced undergraduate or beginning graduate level.From the reviews: "... The book is carefully written - in particular very much self-contained. As was the intention of the author, it is easily accessible to graduate or even undergraduate students, yet even the advanced mathematician will enjoy reading it. The last chapter, more difficult for the beginner, is an introduction to contemporary problems." American Scientist

Galois Groups over ? - Proceedings of a Workshop Held March 23-27, 1987 (Paperback, Softcover reprint of the original 1st ed.... Galois Groups over ? - Proceedings of a Workshop Held March 23-27, 1987 (Paperback, Softcover reprint of the original 1st ed. 1989)
Y. Ihara, Kenneth Ribet, J.P. Serre
R5,475 Discovery Miles 54 750 Ships in 10 - 15 working days

This volume is the offspring of a week-long workshop on "Galois groups over Q and related topics," which was held at the Mathematical Sciences Research Institute during the week March 23-27, 1987. The organizing committee consisted of Kenneth Ribet (chairman), Yasutaka Ihara, and Jean-Pierre Serre. The conference focused on three principal themes: 1. Extensions of Q with finite simple Galois groups. 2. Galois actions on fundamental groups, nilpotent extensions of Q arising from Fermat curves, and the interplay between Gauss sums and cyclotomic units. 3. Representations of Gal(Q/Q) with values in GL(2)j deformations and connections with modular forms. Here is a summary of the conference program: * G. Anderson: "Gauss sums, circular units and the simplex" * G. Anderson and Y. Ihara: "Galois actions on 11"1 ( *** ) and higher circular units" * D. Blasius: "Maass forms and Galois representations" * P. Deligne: "Galois action on 1I"1(P-{0, 1, oo}) and Hodge analogue" * W. Feit: "Some Galois groups over number fields" * Y. Ihara: "Arithmetic aspect of Galois actions on 1I"1(P - {O, 1, oo})" - survey talk * U. Jannsen: "Galois cohomology of i-adic representations" * B. Matzat: - "Rationality criteria for Galois extensions" - "How to construct polynomials with Galois group Mll over Q" * B. Mazur: "Deforming GL(2) Galois representations" * K. Ribet: "Lowering the level of modular representations of Gal( Q/ Q)" * J-P. Serre: - Introductory Lecture - "Degree 2 modular representations of Gal(Q/Q)" * J.

Modular Functions of One Variable III - Proceedings International Summer School, University of Antwerp, RUCA, July 17 - August... Modular Functions of One Variable III - Proceedings International Summer School, University of Antwerp, RUCA, July 17 - August 3, 1972 (Paperback, 1st ed. 1973. Corr. 2nd printing 1986)
Willem. Kuyk, J.P. Serre
R1,869 Discovery Miles 18 690 Ships in 10 - 15 working days

This is Volume 3 of the Proceedings of the Interna- tional Summer School on "Modular functions of one variable and arithmetical applications" which took place at RUCA, Antwerp University, from July 17 to August 3, 1972. It contains papers by P.Cartier-[yen].Roy, B.Dwork, N.Katz, J-P.Serre and H.P.F.Swinnerton-Dyer on congruence proper- ties of modular forms, l-adic representations, p-adic modular forms and p-adic zeta functions. W.Kuyk J-P.Serre CONTENTS H.P.F. SWINNERTON-DYER On l-adic representations and congruences for coefficients 1 of modular forms B. DWORK The Up operator of Atkin on modular functions of level 2 57 with growth conditions N. KATZ p-adic properties of modular 69 schemes and modular forms J-P. SERRE Formes modulaires et fonctions 191 zeta p-adiques P. CARTIER-Y. ROY Certains calculs numeriques relatifs a l'interpolation 269 p-adique des series de Dirichlet Mailing addresses of authors 350 He~~n e.L. Siegel gewidmet ON l-ADIC REPRESENTATIONS AND CONGRUENCES FOR COEFFICIENTS OF MODULAR FORMS BY H.P.F. SWINNERTON-DYER International Summer School on Modular Functions Antwerp 1972 2 SwD-2 CONTENTS 1. Introduction. p.3 2. The possible images of Pl. p.l0 3. Modular forms mod l. p.1S 4. The exceptional primes. p.26 5. Congruences modulo powers of l. p.36 Appendix p.43 References p.ss 3 SwD-3 ON l-ADIC REPRESENTATIONS AND CONGRUENCES FOR COEFFICIENTS OF MODULAR FORMS * 1. Introduction.

Modular Functions of One Variable VI, No. VI - Proceedings International Conference, University of Bonn,... Modular Functions of One Variable VI, No. VI - Proceedings International Conference, University of Bonn, Sonderforschungsbereich Theoretische Mathematik, July 2-14, 1976 (English, French, Paperback, 1977 ed.)
J.P. Serre, D. B. Zagier
R1,594 Discovery Miles 15 940 Ships in 10 - 15 working days
Modular Functions of One Variable V - Proceedings International Conference, University of Bonn, Sonderforschungsbereich... Modular Functions of One Variable V - Proceedings International Conference, University of Bonn, Sonderforschungsbereich Theoretische Mathematik, July 2-14, 1976 (English, French, Paperback, 1977 ed.)
J.P. Serre, D. B. Zagier
R1,687 Discovery Miles 16 870 Ships in 10 - 15 working days
Seminar on Complex Multiplication - Seminar Held at the Institute for Advanced Study, Princeton, N.Y., 1957-58 (Paperback, 1966... Seminar on Complex Multiplication - Seminar Held at the Institute for Advanced Study, Princeton, N.Y., 1957-58 (Paperback, 1966 ed.)
A Borel, S. Chowla, C. S. Herz, K. Iwasawa, J.P. Serre
R1,055 Discovery Miles 10 550 Ships in 10 - 15 working days
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