Arithmetic of p-adic modular forms / Fernando Q. Gouvea
Type de document : Livre numériqueCollection : Lecture notes in mathematics, 1304Langue : anglais.Éditeur : Berlin : Springer-Verlag, 1988ISBN: 9783540189466.ISSN: 1617-9692.Sujet MSC : 11F33, Discontinuous groups and automorphic forms, Congruences for modular and p-adic modular forms11F85, Discontinuous groups and automorphic forms, p-adic theory, local fields
11F80, Discontinuous groups and automorphic forms, Galois representations
14H52, Curves in algebraic geometry, Elliptic curves
11F11, Discontinuous groups and automorphic forms, Holomorphic modular forms of integral weightEn-ligne : Springerlink | Zentralblatt | MathSciNet
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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)
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