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arXiv · 1402.5905

Constructing Hilbert modular forms whithout exceptional primes

Luis Dieulefait·Adrian Zenteno
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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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Luis Dieulefait, Adrian Zenteno. 2017-04-23. Constructing Hilbert modular forms whithout exceptional primes. https://doi.org/10.1007/s00209-017-1885-0

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