Arthur packets and the Ramanujan conjecture

作者:Shahidi Freydoon*
来源:Kyoto Journal of Mathematics, 2011, 51(1): 1-23.
DOI:10.1215/0023608X-2010-018

摘要

The purpose of this article is to show that under a part of the generalized Arthur's A-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 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.

  • 出版日期2011