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arXiv · 0709.0071

Theta Series Associated with the Weil-Schroedinger Representation

Jae-Hyun Yang
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Abstract

The Weil representation discovered by Andre Weil plays an important role in the study of the tranformation properties of theta series. In this paper, we define the Weil-Schroedinger representation of the Jacobi group and prove that the theta series associated with the Weil-Schroedinger representation is a Jacobi form with respect to a suitable arithmetic subgroup of the Jacobi modular group.

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Jae-Hyun Yang. 2009-08-03. Theta Series Associated with the Weil-Schroedinger Representation. https://arxiv.org/abs/0709.0071

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