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# Poles of Siegel Eisenstein Series on $U(n,n)$

Published:1999-02-01
Printed: Feb 1999
• Victor Tan
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## Abstract

Let $U(n,n)$ be the rank $n$ quasi-split unitary group over a number field. We show that the normalized Siegel Eisenstein series of $U(n,n)$ has at most simple poles at the integers or half integers in certain strip of the complex plane.
 MSC Classifications: 11F70 - Representation-theoretic methods; automorphic representations over local and global fields 11F27 - Theta series; Weil representation; theta correspondences 22E50 - Representations of Lie and linear algebraic groups over local fields [See also 20G05]