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math.NT2010★ 2 cited
Symmetries for Siegel Theta Functions, Borcherds Lifts and Automorphic Green Functions
Bernhard Heim, Atsushi Murase
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 s…
math.NT2010
A characterization of the Maass space on O(2, m+2) by symmetries
Bernhard Heim, Atsushi Murase
In this paper, we define certain symmetries for automorphic forms on O(2, m+2) and show that the space of automorphic forms satisfying these symmetries coincides with the Maass spa…