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Modular Functions of One Variable III: Proceedings International Summer School,

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ISBN
9783540064831
Subject Area
Mathematics
Publication Name
Modular Functions of One Variable III : Antwerp, Belgium 1972
Publisher
Springer Berlin / Heidelberg
Item Length
9.3 in
Subject
Number Theory
Publication Year
1973
Series
Lecture Notes in Mathematics Ser.
Type
Textbook
Format
Trade Paperback
Language
English
Author
Jean-Pierre Serre
Item Weight
44.8 Oz
Item Width
6.1 in
Number of Pages
V, 350 Pages

關於產品

Product Identifiers

Publisher
Springer Berlin / Heidelberg
ISBN-10
3540064834
ISBN-13
9783540064831
eBay Product ID (ePID)
109331097

Product Key Features

Number of Pages
V, 350 Pages
Publication Name
Modular Functions of One Variable III : Antwerp, Belgium 1972
Language
English
Subject
Number Theory
Publication Year
1973
Type
Textbook
Subject Area
Mathematics
Author
Jean-Pierre Serre
Series
Lecture Notes in Mathematics Ser.
Format
Trade Paperback

Dimensions

Item Weight
44.8 Oz
Item Length
9.3 in
Item Width
6.1 in

Additional Product Features

Intended Audience
Scholarly & Professional
Series Volume Number
350
Number of Volumes
1 vol.
Illustrated
Yes
Table Of Content
On ?-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.
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., 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.
LC Classification Number
QA241-247.5

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