Abstract
The purpose of this article is to show that under a part of the generalized Arthur’s -packet conjecture, locally generic cuspidal automorphic representations of a quasi-split group over a number field are of Ramanujan type, that is, are tempered at almost all places. The -packet conjecture allows one to reduce the problem to a special case of a general local question about the components of the corresponding Langlands -packet which is then answered here in its generality.
Citation
Freydoon Shahidi. "Arthur packets and the Ramanujan conjecture." Kyoto J. Math. 51 (1) 1 - 23, Spring 2011. https://doi.org/10.1215/0023608X-2010-018
Information