Constructing Hilbert modular forms whithout exceptional primes

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.

arXiv commentRevised version - referees' comments added. The final version is to appear in Mathematische Zeitschrift