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

Published online by Cambridge University Press:  20 November 2018

Victor Tan
Victor Tan*
Affiliation:
National University of Singapore, Singapore 119260 email: mattanv@nus.edu.sg
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Abstract

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Let $U\left( n,\,n \right)$ be the rank $n$ quasi-split unitary group over a number field. We show that the normalized Siegel Eisenstein series of $U\left( n,\,n \right)$ has at most simple poles at the integers or half integers in certain strip of the complex plane.

Keywords

11F7011F2722E50
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 51 , Issue 1 , 01 February 1999 , pp. 164 - 175
Copyright
Copyright © Canadian Mathematical Society 1999

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