International Journal of Mathematics and Mathematical Sciences
Volume 2007 (2007), Article ID 64284, 22 pages
Research Article

An Integral Representation of Standard Automorphic L Functions for Unitary Groups

Yujun Qin

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.


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.