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arXiv · 2009.08230

Siegel theta series for indefinite quadratic forms

Christina Roehrig
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Abstract

The modular transformation behavior of theta series for indefinite quadratic forms is well understood in the case of elliptic modular forms due to Vign\'eras, who deduced that solving a differential equation of second order serves as a criterion for modularity. In this paper, we will give a generalization of this result to Siegel theta series.

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Christina Roehrig. 2020-09-17. Siegel theta series for indefinite quadratic forms. https://doi.org/10.1007/s40993-021-00272-y

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