Gun, Sanoli ; Kumar, Narasimha (2013) A note on Fourier-Jacobi coefficients of Siegel modular forms Archiv der Mathematik, 101 (6). pp. 519-524. ISSN 0003-889X
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Official URL: http://doi.org/10.1007/s00013-013-0586-0
Related URL: http://dx.doi.org/10.1007/s00013-013-0586-0
Abstract
Let F be a Siegel cusp form of weight k and genus n > 1 with Fourier-Jacobi coefficients f m . In this article, we estimate the growth of the Petersson norms of f m , where m runs over an arithmetic progression. This result sharpens a recent result of Kohnen [5].
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Springer Nature. |
| Keywords: | Siegel Cusp Forms; Fourier-Jacobi Coefficients; Petersson Norms. |
| ID Code: | 118016 |
| Deposited On: | 11 May 2021 06:26 |
| Last Modified: | 11 May 2021 06:26 |
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