On the average size of the eigenvalues of the Hecke operators
Number Theory
2025-02-18 v2
Abstract
We determine the average size of the eigenvalues of the Hecke operators acting on the cuspidal modular forms space in both the vertical and the horizontal perspective. The "average size" is measured via the quadratic mean.
Cite
@article{arxiv.2407.19076,
title = {On the average size of the eigenvalues of the Hecke operators},
author = {William Cason and Akash Jim and Charlie Medlock and Erick Ross and Hui Xue},
journal= {arXiv preprint arXiv:2407.19076},
year = {2025}
}
Comments
8 pages