On the dependence of the local Rankin-Selberg gamma factors of ${\text{Sp}}_{2n}\times {\text{GL}}_m$ on $\psi$

Qing Zhang

Let $F$ be a $p$-adic field and $\pi$ be an irreducible smooth representation of ${\text{Sp}}_{2n}(F)$. In this paper, we show that if $\pi$ and ${\pi }^{\kappa }$ are both generic for a common gen…