On signs of coefficients of L-functions
Number Theory
2026-03-04 v1
Abstract
We give a general lower bound on the frequency of sign changes in the real coefficients of L-functions of the Selberg class. We in particular recover existing results in the cases of GL(2) and GL(3), and obtain new bounds in the case of GSp(4).
Cite
@article{arxiv.2603.03029,
title = {On signs of coefficients of L-functions},
author = {Didier Lesesvre and Ming Ho Ng and Yingnan Wang},
journal= {arXiv preprint arXiv:2603.03029},
year = {2026}
}