Power sums of Hecke's eigenvalues and application
Number Theory
2015-05-13 v1
Abstract
We sharpen some estimates of Rankin on power sums of Hecke eigenvalues, by using Kim & Shahidi's recent results on higher order symmetric powers. As an application, we improve Kohnen, Lau & Shparlinski's lower bound for the number of Hecke eigenvalues of same signs.
Cite
@article{arxiv.0806.4668,
title = {Power sums of Hecke's eigenvalues and application},
author = {Jie Wu},
journal= {arXiv preprint arXiv:0806.4668},
year = {2015}
}