A note on the standard zero-free region for $L$-functions

Sun-Kai Leung

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arXiv · 2410.09910

A note on the standard zero-free region for $L$-functions

Sun-Kai Leung

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Abstract

In this short note, we establish a standard zero-free region for a general class of $L$-functions for which their logarithms have coefficients with nonnegative real parts, which includes the Rankin--Selberg $L$-functions for unitary cuspidal automorphic representations.

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Sun-Kai Leung. 2024-10-13. A note on the standard zero-free region for $L$-functions. https://arxiv.org/abs/2410.09910

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