Generic transfer from GSp(4) to GL(4)
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.
11F70; 11R42; 22E55.
p1 Department of Mathematics, Oklahoma State University, Stillwater, OK 74078-1058, USA