On the occurrence of Hecke eigenvalues in sectors
Number Theory
2020-07-30 v2
Abstract
Let be a non-self-dual unitary cuspidal automorphic representation of non-solvable polyhedral type for GL(2) over a number field. We show that has a positive upper Dirichlet density of Hecke eigenvalues in any sector whose angle is at least 2.63 radians.
Cite
@article{arxiv.1912.12754,
title = {On the occurrence of Hecke eigenvalues in sectors},
author = {Nahid Walji},
journal= {arXiv preprint arXiv:1912.12754},
year = {2020}
}
Comments
11 pages. Further details added; subsection 3.3 rewritten