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Generic transfer from GSp(4) to GL(4)

Published online by Cambridge University Press:  17 May 2006

Mahdi Asgari
Affiliation:
School of Mathematics, Institute for Advanced Study, Princeton, NJ 08450, [email protected] Department of Mathematics, Oklahoma State University, Stillwater, OK 74078-1058, USA
Freydoon Shahidi
Affiliation:
Department of Mathematics, Purdue University, West Lafayette, IN 47907, [email protected]
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Abstract

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We establish the Langlands functoriality conjecture for the transfer from the generic spectrum of GSp(4) to GL(4) and give a criterion for the cuspidality of its image. We apply this to prove results toward the generalized Ramanujan conjecture for generic representations of GSp(4).

Type
Research Article
Copyright
Foundation Compositio Mathematica 2006