Spin L-functions on GSp(8) and GSp(10)

Authors
Bump, D Ginzburg, D
Citation
D. Bump et D. Ginzburg, Spin L-functions on GSp(8) and GSp(10), T AM MATH S, 352(2), 2000, pp. 875-899
Citations number
12
Categorie Soggetti
Mathematics
Journal title
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029947 → ACNP
Volume
352
Issue
2
Year of publication
2000
Pages
875 - 899
Database
ISI
SICI code
0002-9947(200002)352:2<875:SLOGAG>2.0.ZU;2-F
Abstract
The "spin" L-function of an automorphic representation of GSp(2n) is an Eul er product of degree 2(n) associated with the spin representation of the L- group GSpin(2n + 1). If n = 4 or 5, and the automorphic representation is g eneric in the sense of having a Whittaker model, the analytic properties of these L-functions are studied by the Rankin-Selberg method.