Landau-Siegel zeros of Rankin-Selberg $L$-functions

Jesse Thorner; Shifan Zhao

doi:10.48550/arxiv.2601.04189

Landau-Siegel zeros of Rankin-Selberg $L$-functions

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Jesse Thorner, Shifan Zhao

DOI: 10.48550/arxiv.2601.04189

Cited by: 0

Abstract

We establish standard zero-free regions with no exceptional Landau-Siegel zeros for Rankin-Selberg $L$-functions and triple product $L$-functions in several new families for which modularity is not yet known.

Fields of Study & Subjects

Advanced Algebra and Geometry Analytic Number Theory Research Algebraic Geometry and Number Theory

Publication details

Journal / source: arXiv (Cornell University)
Publication date: 7 January 2026
Document type: Preprint