Adjoint L-functions for GL(3) and U(2,1)
Number Theory
2021-05-11 v2 Representation Theory
Abstract
We show that the finite part of the adjoint function (including contributions from all nonarchimedean places, including ramified places) is holomorphic in for a cuspidal automorphic representation of over a number field. This improves the main result of [H16]. We obtain more general results for twisted adjoint functions of both and quasisplit unitary groups. For unitary groups, we explicate the relationship between poles of twisted adjoint functions, endoscopy, and the structure of the stable base change lifting.
Cite
@article{arxiv.1808.06285,
title = {Adjoint L-functions for GL(3) and U(2,1)},
author = {Joseph Hundley and Qing Zhang},
journal= {arXiv preprint arXiv:1808.06285},
year = {2021}
}
Comments
Introduction is rewritten. The order of section 2 and section 3 are switched