Article ID Journal Published Year Pages File Type
4593865 Journal of Number Theory 2013 15 Pages PDF
Abstract

We will show that Siegel theta functions attached to integral quadratic forms of signature (2,m+2)(2,m+2) 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.

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Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
Symmetries for Siegel theta functions, Borcherds lifts and automorphic Green functions
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