International Journal of Mathematics and Mathematical Sciences
Volume 2007 (2007), Article ID 64284, 22 pages
doi:10.1155/2007/64284
Research Article
An Integral Representation of Standard Automorphic L Functions for Unitary Groups
Department of Mathematics, East China Normal University, Shanghai 200062, China
Received 29 May 2006; Revised 5 November 2006; Accepted 26 November 2006
Academic Editor: Dihua Jiang
Copyright © 2007 Yujun Qin. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
Let F be a number field, G a quasi-split unitary group of rank n. We show that given an irreducible cuspidal automorphic representation π of G(A), its (partial) L function LS(s,π,σ) can be represented by a Rankin-Selberg-type integral involving cusp forms of π, Eisenstein series, and theta series.