Holomorphy of adjoint $L$ functions for quasisplit A2

TL;DR

This paper investigates the poles of twisted adjoint L-functions associated with generic cuspidal automorphic representations of GL(3) and quasisplit unitary groups, employing integral representation methods.

Contribution

It extends the understanding of adjoint L-functions' holomorphy for specific automorphic representations using advanced integral techniques.

Findings

Identification of conditions for poles of twisted adjoint L-functions

Application of integral representation methods to quasisplit groups

Advancement in understanding automorphic L-functions for GL(3) and unitary groups

Abstract

We study the poles of the twisted adjoint L function of a generic cuspidal automorphic representation of GL(3) or a quasisplit unitary group using a method pioneered by Ginzburg and Jiang and based on the theory of integral representations.