Modular forms of arbitrary even weight with no exceptional primes
Number Theory
2016-04-04 v3
Abstract
A result of Dieulefait-Wiese proves the existence of modular eigenforms of weight 2 for which the image of every associated residual Galois representation is as large as possible. We generalize this result to eigenforms of general even weight k 2.
Keywords
Cite
@article{arxiv.1601.02863,
title = {Modular forms of arbitrary even weight with no exceptional primes},
author = {Jeffrey Hatley},
journal= {arXiv preprint arXiv:1601.02863},
year = {2016}
}
Comments
revision: fixed some typos and mathematical errors; added DOI