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

TL;DR

This paper proves the absence of Landau-Siegel zeros in certain Rankin-Selberg and triple product L-functions, extending zero-free regions to new families lacking known modularity.

Contribution

It establishes zero-free regions for Rankin-Selberg and triple product L-functions in new families without assuming modularity.

Findings

Zero-free regions for specific L-functions

No exceptional Landau-Siegel zeros in these families

Extension of known zero-free results

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.