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Constructing Hilbert modular forms whithout exceptional primes

Published 24 Feb 2014 in math.NT | (1402.5905v2)

Abstract: In this paper we construct families of Hilbert modular newforms without exceptional primes. This is achieved by generalizing the notion of good-dihedral primes, introduced by Khare and Wintenberger in their proof of Serre's modularity conjecture, to totally real fields.

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