Non-optimal levels of mod l modular representations.
Richard Taylor, Fred Diamond (1994)
Inventiones mathematicae
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Richard Taylor, Fred Diamond (1994)
Inventiones mathematicae
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Luis Dieulefait, Xavier Taixés i Ventosa (2009)
Journal de Théorie des Nombres de Bordeaux
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In this article we study the behavior of inertia groups for modular Galois mod representations and in some cases we give a generalization of Ribet’s lowering the level result (cf. []).
A. Wiles (1988)
Inventiones mathematicae
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Dieulefait, Luis V. (2004)
Experimental Mathematics
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Bas Edixhoven (1999-2000)
Séminaire Bourbaki
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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.
Richard Taylor (1994)
Inventiones mathematicae
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Michael Harris, D. Soudry, R. Taylor (1993)
Inventiones mathematicae
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Kenneth A. Ribet (1975)
Inventiones mathematicae
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Peng Tian (2014)
Acta Arithmetica
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We propose an improved algorithm for computing mod ℓ Galois representations associated to a cusp form f of level one. The proposed method allows us to explicitly compute the case with ℓ = 29 and f of weight k = 16, and the cases with ℓ = 31 and f of weight k = 12,20,22. All the results are rigorously proved to be correct. As an example, we will compute the values modulo 31 of Ramanujan's tau function at some huge primes up to a sign. Also we will give an improved...
Jeremy T. Teitelbaum (1993)
Inventiones mathematicae
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