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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

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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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