A note on the standard zero-free region for $L$-functions
Number Theory
2024-10-15 v1 Complex Variables
Abstract
In this short note, we establish a standard zero-free region for a general class of -functions for which their logarithms have coefficients with nonnegative real parts, which includes the Rankin--Selberg -functions for unitary cuspidal automorphic representations.
Keywords
Cite
@article{arxiv.2410.09910,
title = {A note on the standard zero-free region for $L$-functions},
author = {Sun-Kai Leung},
journal= {arXiv preprint arXiv:2410.09910},
year = {2024}
}
Comments
6 pages; to appear in Expo. Math