Symmetries for Siegel theta functions, Borcherds lifts and automorphic Green functions

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• 作者：Bernhard Heim ; Atsushi Murase
• 关键词：11F55 ; 11G18
• 刊名：Journal of Number Theory
• 出版年：2013
• 出版时间：October, 2013
• 年：2013
• 卷：133
• 期：10
• 页码：3485-3499
• 全文大小：289 K

文摘

We will show that Siegel theta functions attached to integral quadratic forms of signature satisfy certain symmetries. As an application, we prove similar symmetries for Borcherds lifts and automorphic Green functions, both of which are closely related to Siegel theta functions.