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

Willem Kuyk (u. a.)

ISBN 10: 3540064834 / ISBN 13: 9783540064831

Published by Springer, 1973

About this Item

Modular Functions of One Variable III | Proceedings International Summer School, University of Antwerp, RUCA, July 17 - August 3, 1972 | Willem Kuyk (u. a.) | Taschenbuch | v | Englisch | Springer | EAN 9783540064831 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.

Seller Inventory # 102160729

Bibliographic Details

• Title: Modular Functions of One Variable III | Proceedings International Summer School, University of Antwerp, RUCA, July 17 - August 3, 1972
• Publisher: Springer
• Publication Date: 1973
• Language: English
• ISBN 10: 3540064834
• ISBN 13: 9783540064831
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 20D millimeters 235 millimeters width by 155 millimeters height by 20 millimeters depth
• Weight: 546 grams
• Seller catalogs:
  • Bücher

About this title

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.