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

2024/10/13 by Sun‐Kai Leung, Leung, Sun-Kai
Mathematics · #11F66 #11M41 #Advanced Harmonic Analysis Research #Complex Variables (math.CV) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Mathematical Approximation and Integration #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2410.09910

openalex publication_date 2024/10/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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