Arthur packets and the Ramanujan conjecture
Shahidi, Freydoon
Kyoto J. Math., Tome 51 (2011) no. 1, p. 1-23 / Harvested from Project Euclid
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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.
Publié le : 2011-05-15
Classification:  11F70,  22E50,  22E55 
@article{1298669423,
     author = {Shahidi, Freydoon},
     title = {Arthur packets and the Ramanujan conjecture},
     journal = {Kyoto J. Math.},
     volume = {51},
     number = {1},
     year = {2011},
     pages = { 1-23},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1298669423}
}

Shahidi, Freydoon. Arthur packets and the Ramanujan conjecture. Kyoto J. Math., Tome 51 (2011) no. 1, pp.  1-23. http://gdmltest.u-ga.fr/item/1298669423/