Dirichlet series involving special values of Rankin convolutions attached to Siegel modular forms (Q1261193)
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scientific article; zbMATH DE number 404321
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Dirichlet series involving special values of Rankin convolutions attached to Siegel modular forms |
scientific article; zbMATH DE number 404321 |
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Dirichlet series involving special values of Rankin convolutions attached to Siegel modular forms (English)
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31 August 1993
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The author studies a certain Dirichlet series attached to a pair of Siegel modular forms of weights \(g\) and \(g+1\). He proves analytic continuation and functional equation. Using \textit{S. Böcherer's} results about the Fourier-Jacobi expansion of Eisenstein series [Math. Z. 183, 21-46 (1983; Zbl 0503.10018)] he can reduce the proof to similar results of an earlier paper of his [Math. Ann. 28, 697-711 (1990; Zbl 0697.10026)].
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Rankin-Selberg convolution
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Dirichlet series
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Siegel modular forms
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analytic continuation
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functional equation
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Fourier-Jacobi expansion
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