On Galois representations defined by torsion points of modular elliptic curves
P. Bayer, J. C. Lario (1992)
Compositio Mathematica
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P. Bayer, J. C. Lario (1992)
Compositio Mathematica
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Gerhard Frey (2009)
Annales de la faculté des sciences de Toulouse Mathématiques
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Kenneth A. Ribet (1990)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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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, -adic Galois representations associated to holomorphic Hilbert modular newforms.
Darmon, Henri (1999)
Annals of Mathematics. Second Series
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Wintenberger, J.-P. (2007)
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Dieulefait, Luis V. (2004)
Experimental Mathematics
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Wiese, Gabor (2004)
Documenta Mathematica
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Skinner, Christopher (2009)
Documenta Mathematica
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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.