Analytic evaluation of Hecke eigenvalues for classical modular forms
Number Theory
2019-10-03 v2
Abstract
We propose a method for computing approximations to the Hecke eigenvalues of a classical modular eigenform , based on the analytic evaluation of at points in the upper half plane. Our approach works with arbitrary precision, allows for a strict control of the error in the approximation, and outperforms current exact computation methods.
Keywords
Cite
@article{arxiv.1806.01586,
title = {Analytic evaluation of Hecke eigenvalues for classical modular forms},
author = {David Armendariz and Owen Colman and Nicolas Coloma and Alexandru Ghitza and Nathan C. Ryan and Dario Teran},
journal= {arXiv preprint arXiv:1806.01586},
year = {2019}
}
Comments
13 pages, 3 figures, 1 table