Rankin's method and Jacobi forms of several variables
| dc.creator | Ramakrishnan, B. | |
| dc.creator | Sahu, Brundaban | |
| dc.date | 2008-08-18 | |
| dc.date.accessioned | 2026-07-07T09:57:08Z | |
| dc.date.available | 2026-07-07T09:57:08Z | |
| dc.description | Following Rankin's method, D. Zagier computed the $n$-th Rankin-Cohen bracket of a modular form $g$ of weight $k_1$ with the Eisenstein series of weight $k_2$ and then computed the inner product of this Rankin-Cohen bracket with a cusp form $f$ of weight $k = k_1+k_2+2n$ and showed that this inner product gives, upto a constant, the special value of the Rankin-Selberg convolution of $f$ and $g$. This result was generalized to Jacobi forms of degree 1 by Y. Choie and W. Kohnen. In this paper, we generalize this result to Jacobi forms defined over ${\mathcal H} \times {\mathbb C}^{(g, 1)}$. | |
| dc.description | 11 pages | |
| dc.identifier | https://arxiv.org/abs/0808.2395 | |
| dc.identifier | http://arxiv.org/abs/0808.2395 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/167233 | |
| dc.subject | Number Theory | |
| dc.subject | 11F60, 11F50 | |
| dc.title | Rankin's method and Jacobi forms of several variables | |
| dc.type | text |