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

Published online by Cambridge University Press:  17 May 2006

Mahdi Asgari  and
Freydoon Shahidi
Mahdi Asgari
Affiliation:
School of Mathematics, Institute for Advanced Study, Princeton, NJ 08450, USAasgari@math.okstate.edu Department of Mathematics, Oklahoma State University, Stillwater, OK 74078-1058, USA
Freydoon Shahidi
Affiliation:
Department of Mathematics, Purdue University, West Lafayette, IN 47907, USAshahidi@math.purdue.edu
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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).

Keywords

Langlands functorialityautomorphic representationL-function11F7011R4222E55
Type
Research Article
Information
Compositio Mathematica , Volume 142 , Issue 3 , May 2006 , pp. 541 - 550
Copyright
Foundation Compositio Mathematica 2006