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On Icosahedral Artin Representations

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2001

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Duke University Press
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Buzzard, Kevin, Mark Dickinson, Nick I. Shepherd-Barron, and Richard Taylor. 2001. On icosahedral Artin representations. Duke Mathematical Journal 109(2): 283-318.

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Abstract

If ρ: Gal(Qac/Q) → GL2(C) is a continuous odd irreducible representation with nonsolvable image, then under certain local hypotheses we prove that is the representation associated to a weight 1 modular form and hence that the L-function of has an analytic continuation to the entire complex plane.

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