Constructing Hilbert modular forms whithout exceptional primes
Number Theory
2018-12-05 v2
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.
Keywords
Cite
@article{arxiv.1402.5905,
title = {Constructing Hilbert modular forms whithout exceptional primes},
author = {Luis Dieulefait and Adrian Zenteno},
journal= {arXiv preprint arXiv:1402.5905},
year = {2018}
}
Comments
Revised version - referees' comments added. The final version is to appear in Mathematische Zeitschrift