Arithmetic of p-adic modular forms / Fernando Q. Gouvea

Auteur: Gouvêa, Fernando Quadros (1957-) - AuteurType de document: Livre numériqueCollection: Lecture notes in mathematics, (Online) ; 1304Langue: anglaisÉditeur: Berlin : Springer-Verlag, 1988 ISBN: 9783540189466 ISSN: 1617-9692Note: The first chapter of this monograph gives the basic definitions and properties of p-adic modular forms, mostly following work of Serre and Katz. Particular attention is given to the notion of overconvergence and congruences of classical modular forms. This is a useful outline but it could not be used as a primer, owing to its compression and omission of proofs and examples. Precise references are given for the theorems quoted both here and in the rest of the book. ... (Zentralblatt) Sujets MSC: 11F33 Number theory -- Discontinuous groups and automorphic forms -- Congruences for modular and p-adic modular forms
11F85 Number theory -- Discontinuous groups and automorphic forms -- p-adic theory, local fields
11F80 Number theory -- Discontinuous groups and automorphic forms -- Galois representations
14H52 Algebraic geometry -- Curves -- Elliptic curves
11F11 Number theory -- Discontinuous groups and automorphic forms -- Holomorphic modular forms of integral weight
En-ligne: Springerlink | Zentralblatt | MathSciNet

No physical items for this record


The first chapter of this monograph gives the basic definitions and properties of p-adic modular forms, mostly following work of Serre and Katz. Particular attention is given to the notion of overconvergence and congruences of classical modular forms. This is a useful outline but it could not be used as a primer, owing to its compression and omission of proofs and examples. Precise references are given for the theorems quoted both here and in the rest of the book. ... (Zentralblatt)

There are no comments for this item.

Log in to your account to post a comment.
Languages: English | Français | |