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Differential operators on jacobi forms and special values of certain dirichlet series

Jha, AK and Sahu, B (2019) Differential operators on jacobi forms and special values of certain dirichlet series. In: 3rd EU/US Summer School and Workshop on Automorphic Forms and Related Topics, 2016, 11-22 Jul 2021, Sarajevo, pp. 91-99.

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Official URL: https://doi.org/10.1090/conm/732/14793

Abstract

We construct Jacobi cusp forms by computing the adjoint of a certain linear map constructed using bilinear holomorphic differential operators with respect to the Petersson scalar product. The Fourier coefficients of the Jacobi cusp forms constructed involve special values of the shifted convolution of Dirichlet series of Rankin-Selberg type. © 2019 American Mathematical Society.

Item Type: Conference Paper
Publication: Contemporary Mathematics
Publisher: American Mathematical Society
Additional Information: The copyright for this article belongs to American Mathematical Society
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 07 Dec 2021 10:23
Last Modified: 07 Dec 2021 10:23
URI: http://eprints.iisc.ac.in/id/eprint/70398

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