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

Abstract: 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.

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