Vanishing Fourier Coefficients of Hecke Eigenforms
Number Theory
2021-04-06 v2
Abstract
We prove that, for fixed tame level (N,p) = 1, there are only finitely many Hecke eigenforms f of level Gamma_1(N) and even weight with a_p(f) = 0 which are not CM.
Cite
@article{arxiv.2003.07570,
title = {Vanishing Fourier Coefficients of Hecke Eigenforms},
author = {Frank Calegari and Naser T. Sardari},
journal= {arXiv preprint arXiv:2003.07570},
year = {2021}
}
Comments
The exposition has been considerably expanded, but the results remain unchanged