Test vectors for Rankin-Selberg $L$-functions

Andrew R. Booker, M. Krishnamurthy, Min Lee

We study the local zeta integrals attached to a pair of generic representations $(\pi ,\tau )$ of $G{L}_n\times G{L}_m$, $n>m$, over a $p$-adic field. Through a process of unipotent averaging…