ON THE SYMMETRICAL 4TH POWER L-FUNCTION OF GL(2)

Authors
Citation
D. Ginzburg, ON THE SYMMETRICAL 4TH POWER L-FUNCTION OF GL(2), Israel Journal of Mathematics, 92(1-3), 1995, pp. 157-184
Citations number
13
Categorie Soggetti
Mathematics, General",Mathematics
ISSN journal
00212172
Volume
92
Issue
1-3
Year of publication
1995
Pages
157 - 184
Database
ISI
SICI code
0021-2172(1995)92:1-3<157:OTS4PL>2.0.ZU;2-J
Abstract
In this paper I introduce a global Rankin-Selberg integral representin g the symmetric fourth power L-function for GL(2). I show that the glo bal integral is factorizable and compute the local unramified integral s. Finally, I also study some other properties of the local nonarchime dean integrals.