English

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

Number Theory 2026-01-08 v1

Abstract

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

Keywords

Cite

@article{arxiv.2601.04189,
  title  = {Landau-Siegel zeros of Rankin-Selberg $L$-functions},
  author = {Jesse Thorner and Shifan Zhao},
  journal= {arXiv preprint arXiv:2601.04189},
  year   = {2026}
}

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25 pages