Holomorphy of adjoint L functions for quasisplit A2

2016/10/31 by Hundley, Joseph
#11F66 #11F70 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1611.00057

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.

Related

• The Adjoint L-function of SU(2,1)
• Holomorphy of Adjoint L-functions for GL(n): n≤ 4
• A doubling integral for G2
• Adjoint L-functions, congruence ideals, and Selmer groups over GL_n
• Triality and adjoint lifting for GL(3)