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

TL;DR

This paper proves the functional equation for the non-archimedean exterior-square L-function associated with irreducible representations of GL(n) when n is odd, advancing understanding of local L-functions in number theory.

Contribution

It establishes the functional equation for the exterior-square L-function in the non-archimedean case for odd n, a case not previously proven.

Findings

Proved the functional equation for non-archimedean exterior-square L-functions when n is odd.

Extended the theory of local L-functions to include new cases for GL(n).

Provides a foundation for further research in automorphic forms and number theory.

Abstract

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