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
a2 Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA

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


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.

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