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Modular Functions of One Variable III

Proceedings International Summer School, University of Antwerp, RUCA, July 17 - August 3, 1972

Willem Kuyk, J.-P. Serre (Herausgeber)

Buch | Softcover

V, 350 Seiten

1973 | 1973
Springer Berlin (Verlag)
978-3-540-06483-1 (ISBN)

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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.

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.

Erscheint lt. Verlag	1.1.1973
Reihe/Serie	Lecture Notes in Mathematics
Zusatzinfo	V, 350 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	1270 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
Themenwelt	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
Schlagworte	arithmetic • Calc • Congruence • Form • Function • Functions • Interpolation • modular form • Operator • presentation • Prime • Scheme • University • Volume • zeta function
ISBN-10	3-540-06483-4 / 3540064834
ISBN-13	978-3-540-06483-1 / 9783540064831
Zustand	Neuware