Modular forms of arbitrary even weight with no exceptional primes
arXiv:1601.02863 · doi:10.1016/j.jnt.2016.02.026
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.
revision: fixed some typos and mathematical errors; added DOI