A new zero-free region for Rankin-Selberg $L$-functions

Speaker:

Gergely Harcos

Affiliation:

Alfréd Rényi Institute of Mathematics

Date:

Wed, 26/04/2023 - 10:00 - 11:00

Location:

MPIM Lecture Hall [2]

Parent event:

Conference on "Arithmetic Statistics, Automorphic Forms and Ergodic Methods" [3]

I will present a new zero-free region for all $\mathrm{GL}(1)$-twists of $\mathrm{GL}(m)\times\mathrm{GL}(n)$ Rankin-Selberg $L$-functions. The proof is inspired by Siegel's celebrated lower bound for Dirichlet $L$-functions at $s = 1$.

This is joint work with Jesse Thorner.