Modular Functions of One Variable III : Proceedings International Summer School, University of Antwerp, RUCA, July 17 - August 3, 1972

J. -P. Serre

ISBN 10: 3540064834 / ISBN 13: 9783540064831

Edité par Springer Berlin Heidelberg, Springer Berlin Heidelberg, 1973

A propos de cet article

Druck auf Anfrage Neuware - Printed after ordering - 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.

N° de réf. du vendeur 9783540064831

Détails bibliographiques

• Titre: Modular Functions of One Variable III : Proceedings International Summer School, University of Antwerp, RUCA, July 17 - August 3, 1972
• Éditeur: Springer Berlin Heidelberg, Springer Berlin Heidelberg
• Date de parution: 1973
• Langue: anglais
• ISBN à 10 chiffres: 3540064834
• ISBN à 13 chiffres: 9783540064831
• Reliure: Taschenbuch
• État de l'article: Neu
• Dimensions: 235 L x 155 H x 20 P (en millimètres) 235 millimètres de largeur par 155 millimètres de hauteur par 20 millimètres de profondeur
• Poids: 546 grammes

A propos de ce titre

Synopsis

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- .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.