The number of Hecke eigenvalues of same signs
Number Theory
2008-12-17 v1
Abstract
We give the best possible lower bounds in order of magnitude for the number of positive and negative Hecke eigenvalues. This improves upon a recent work of Kohnen, Lau & Shparlinski. Also, we study an analogous problem for short intervals.
Keywords
Cite
@article{arxiv.0812.3025,
title = {The number of Hecke eigenvalues of same signs},
author = {Yuk Kam Lau and Jie Wu},
journal= {arXiv preprint arXiv:0812.3025},
year = {2008}
}
Comments
to appear in Math. Z