International Journal of Mathematics and Mathematical Sciences
Volume 2007 (2007), Article ID 64284, 22 pages
doi:10.1155/2007/64284

An Integral Representation of Standard Automorphic L Functions for Unitary Groups

Yujun Qin

Department of Mathematics, East China Normal University, Shanghai 200062, China

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.