The distribution of the eigenvalues of Hecke operators
Number Theory
2016-09-06 v1
Abstract
For each prime , we determine the distribution of the Fourier coefficients of the Hecke eigenforms of large weight for the full modular group. As , this distribution tends to the Sato--Tate distribution.
Keywords
Cite
@article{arxiv.math/9609214,
title = {The distribution of the eigenvalues of Hecke operators},
author = {J. Brian Conrey and William Duke and David W. Farmer},
journal= {arXiv preprint arXiv:math/9609214},
year = {2016}
}