Compositio Mathematica



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


Mahdi Asgari a1p1 and Freydoon Shahidi a2
a1 School of Mathematics, Institute for Advanced Study, Princeton, NJ 08450, USA asgari@math.okstate.edu
a2 Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA shahidi@math.purdue.edu

Article author query
asgari m   [Google Scholar] 
shahidi f   [Google Scholar] 
 

Abstract

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).

(Published Online May 17 2006)
(Received January 5 2005)
(Accepted August 15 2005)


Key Words: Langlands functoriality; automorphic representation; L-function.

Maths Classification

11F70; 11R42; 22E55.


Correspondence:
p1 Department of Mathematics, Oklahoma State University, Stillwater, OK 74078-1058, USA