Symmetries for Siegel Theta Functions, Borcherds Lifts and Automorphic Green Functions
Number Theory
2010-03-12 v1
Abstract
Let q be an integral quadratic form of signature (2,m+2). We will show that the Siegel theta functions attached to q satisfies certain symmetries. As an application, we prove the symmetries for automorphic forms on the orthogonal group of q closely related to Heegener divisors (Borcherds lifts and automorphic Green functions).
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Cite
@article{arxiv.1003.2248,
title = {Symmetries for Siegel Theta Functions, Borcherds Lifts and Automorphic Green Functions},
author = {Bernhard Heim and Atsushi Murase},
journal= {arXiv preprint arXiv:1003.2248},
year = {2010}
}
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22 pages