arXiv Analytics

Sign in

arXiv:math/9609214 [math.NT]AbstractReferencesReviewsResources

The distribution of the eigenvalues of Hecke operators

J. Brian Conrey, William Duke, David W. Farmer

Published 1996-09-10Version 1

For each prime $p$, we determine the distribution of the $p^{th}$ Fourier coefficients of the Hecke eigenforms of large weight for the full modular group. As $p\to\infty$, this distribution tends to the Sato--Tate distribution.

Related articles: Most relevant | Search more
arXiv:2407.19076 [math.NT] (Published 2024-07-26)
On the average size of the eigenvalues of the Hecke operators
arXiv:0710.4224 [math.NT] (Published 2007-10-23)
Hecke operators on Hilbert-Siegel modular forms
arXiv:1909.01852 [math.NT] (Published 2019-09-04)
Hecke operators on Hilbert-Siegel theta series