Sur les extensions de ℚ à groupe de Galois S₄ et S̃₄
Modularity of an odd icosahedral representation
In this paper, we prove that the representation from in GL with image in PGL corresponding to the example in [B-K] is modular. This representation has conductor and determinant ; its modularity was not yet proved, since this representation does not satisfy the hypothesis of the theorems of [B-D-SB-T] and [Tay2].
New forms and Galois representations of octahedral type. (Formes primitives et représentations galoisiennes de type octaédral.)
Numerical verification of the Stark-Chinburg conjecture for some icosahedral representations.
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