The functional equation of the Jacquet-Shalika integral representation of the local exterior-square $L$-function

Abstract

We prove the functional equation of the non archimedean exterior-square L-function of irreducible representations of GL(n), when n is odd.

References in corpus (2)

• Local newforms and formal exterior square L-functions
• Cuspidal representations of $GL(n,F)$ distinguished by a maximal Levi subgroup, with $F$ a non-archimedean local field

Cited by in corpus (7)

• Sato-Tate equidistribution for families of Hecke-Maass forms on SL(n,R)/SO(n)
• Shalika periods and parabolic induction for GL(n) over a non archimedean local field
• Exterior square gamma factors for cuspidal representations of ${\mathrm{GL}}_n$: finite field analogs and level zero representations
• Epsilon factors of representations of finite general linear groups
• The local exterior square and Asai $L$-functions for $GL(n)$ in odd characteristic
• Exterior square gamma factors for cuspidal representations of ${\mathrm{GL}}_n$: simple supercuspidal representations
• Derivatives and Exceptional Poles of the Local Exterior Square $L$-Function for $G{L}_m$