Arthur Packets and the Ramanujan Conjecture
Number Theory
2015-01-14 v1
Abstract
The purpose of this paper is to show that under a part of generalized Arthur's A-packet conjecture, locally generic cuspidal automorphic representations of a quasisplit group over a number field are of Ramanujan type, i.e., are tempered at almost all places. The A-packet conjecture allows one to reduce the problem to a special case of a general local question about the components of the corresponding Langlands L-packet which is then answered here in its generality.
Cite
@article{arxiv.1007.2132,
title = {Arthur Packets and the Ramanujan Conjecture},
author = {Freydoon Shahidi},
journal= {arXiv preprint arXiv:1007.2132},
year = {2015}
}