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

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

2010-03-11

arxiv.org/abs/1003.2248v1

Mathematics

Number Theory

22 pages

Scientific paper

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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