A combinatorial characterization of Jacobi forms (Q1024944)
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scientific article; zbMATH DE number 5566181
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A combinatorial characterization of Jacobi forms |
scientific article; zbMATH DE number 5566181 |
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A combinatorial characterization of Jacobi forms (English)
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18 June 2009
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\textit{H. Cohen} [Lect. Notes Math. 627, 175--196 (1977; Zbl 0382.10020)] constructed a lift from elliptic modular forms to Hilbert modular forms over real quadratic fields. The proof was based on a combinatorial characterization of modular forms on \(\mathbb{H}^2\). In the paper under review the authors extend Cohen's characterization of modular forms to Jacobi forms on \(\mathbb{H}^2\times \mathbb{C}^2\).
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Hilbert modular form
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Jacobi form
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differential operator
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