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OverviewThis 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. Full Product DetailsAuthor: Willem Kuyk , J.-P. SerrePublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Edition: 1st ed. 1973. Corr. 2nd printing 1986 Volume: 350 Dimensions: Width: 15.50cm , Height: 1.80cm , Length: 23.50cm Weight: 1.270kg ISBN: 9783540064831ISBN 10: 3540064834 Pages: 350 Publication Date: 01 January 1973 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsOn ?-ADIC Representations and Congruences for Coefficients of Modular Forms.- The Up operator of Atkin on modular functions of level 2 with growth conditions.- P-ADIC Properties of Modular Schemes and Modular Forms.- Formes modulaires et fonctions zêta p-adiques.- Certains calculs numériques relatifs à l’interpolation p-adique des séries de Dirichlet.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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