Displaying similar documents to “Rational elliptic curves are modular”

Modularity of Galois representations

Chris Skinner (2003)

Journal de théorie des nombres de Bordeaux

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This paper is essentially the text of the author’s lecture at the 2001 Journées Arithmétiques. It addresses the problem of identifying in Galois-theoretic terms those two-dimensional, p -adic Galois representations associated to holomorphic Hilbert modular newforms.

Arithmetic of elliptic curves and diophantine equations

Loïc Merel (1999)

Journal de théorie des nombres de Bordeaux

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We give a survey of methods used to connect the study of ternary diophantine equations to modern techniques coming from the theory of modular forms.