Stability of Rankin-Selberg gamma factors for $\text{Sp}(2n)$, $\widetilde{\text{Sp}}(2n)$ and $\text{U}(n,n)$

Abstract

Let $F$ be a $p$-adic field and $E/F$ be a quadratic extension. In this paper, we prove the stability of Rankin-Selberg gamma factors for ${\text{Sp}}_{2n}(F)$, ${\widetilde{\text{Sp}}}_{2n}(F)$ and ${\text{U}}_{E/F}(n,n)$ when the characteristic of the residue field of $F$ is not $2$.

version 2, fixed an error in the proof of Proposition 3.6; added the metaplectic case

References in corpus (1)

• A strong multiplicity one theorem for SL(2)

Cited by in corpus (1)

• Stability of local gamma factors arising from the doubling method for general spin groups