Jha, Abhash Kumar and Sahu, Brundaban (2019) Rankin Cohen brackets on Jacobi forms of several variables and special values of certain Dirichlet series. In: INTERNATIONAL JOURNAL OF NUMBER THEORY, 15 (5). pp. 925-933.
Full text not available from this repository.Abstract
We construct certain Jacobi cusp forms of several variables by computing the adjoint of linear map constructed using Rankin-Cohen-type differential operators with respect to the Petersson scalar product. We express the Fourier coefficients of the Jacobi cusp forms constructed, in terms of special values of the shifted convolution of Dirichlet series of Rankin-Selberg type. This is a generalization of an earlier work of the authors on Jacobi forms to the case of Jacobi forms of several variables.
| Item Type: | Journal Article |
|---|---|
| Publication: | INTERNATIONAL JOURNAL OF NUMBER THEORY |
| Publisher: | WORLD SCIENTIFIC PUBL CO PTE LTD |
| Additional Information: | copyright for this article belongs to INTERNATIONAL JOURNAL OF NUMBER THEORY |
| Keywords: | Jacobi forms of several variables; differential operators; adjoint map |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 27 Jun 2019 14:29 |
| Last Modified: | 27 Jun 2019 14:29 |
| URI: | http://eprints.iisc.ac.in/id/eprint/63044 |
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