Tatuzawa's theorem for Rankin-Selberg $L$-functions

Gergely Harcos, Jesse Thorner

Let $\pi$ and ${\pi }^{\prime }$ be unitary cuspidal automorphic representations of $\mathrm{GL}(n)$ and $\mathrm{GL}(n^{\prime })$ over a number field $F$. We establish a new zero-free region for all $\ma…