Asymptotics and sign patterns of Hecke polynomial coefficients
Number Theory
2025-09-10 v2
Abstract
We determine the asymptotic behavior of the coefficients of Hecke polynomials. In particular, this allows us to determine signs of these coefficients when the level or the weight is sufficiently large. In all but finitely many cases, this also verifies a conjecture on the nanvanishing of the coefficients of Hecke polynomials.
Cite
@article{arxiv.2410.12008,
title = {Asymptotics and sign patterns of Hecke polynomial coefficients},
author = {Erick Ross and Hui Xue},
journal= {arXiv preprint arXiv:2410.12008},
year = {2025}
}
Comments
13 pages