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arXiv · 1003.2248

Symmetries for Siegel Theta Functions, Borcherds Lifts and Automorphic Green Functions

Bernhard Heim·Atsushi Murase
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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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Bernhard Heim, Atsushi Murase. 2010-03-11. Symmetries for Siegel Theta Functions, Borcherds Lifts and Automorphic Green Functions. https://arxiv.org/abs/1003.2248

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