Shimura lifting on weak Maass forms (Q2804249)
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scientific article; zbMATH DE number 6574969
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Shimura lifting on weak Maass forms |
scientific article; zbMATH DE number 6574969 |
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Shimura lifting on weak Maass forms (English)
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28 April 2016
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Shimura lifting
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weak Maass forms
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regularized integral
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The classical Shimura lift consists of Hecke-equivariant maps from spaces of elliptic modular form of half-integral weight to spaces of elliptic modular forms of integral weight. \textit{B. A. Cipra} gave a construction of this lift via theta kernels in [Nagoya Math. J. 91, 49--117 (1983; Zbl 0523.10014)]. The authors compute the corresponding regularized theta lift for harmonic weak Maaß forms, where the regularization is the one of Borcherds.
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