Construction of Jacobi forms using adjoint of Jacobi-Serre derivative

Autor:	Charan, Mrityunjoy, Vaishya, Lalit
Rok vydání:	2024
Předmět:	Mathematics - Number Theory Primary 11F50 11F25 Secondary 11F30
Druh dokumentu:	Working Paper
Popis:	In the article, we study the Oberdieck derivative defined on the space of weak Jacobi forms. We prove that the Oberdieck derivative maps a Jacobi form to a Jacobi form. Moreover, we study the adjoint of Oberdieck derivative of a Jacobi cusp form with respect to Petersson scalar product defined on the space of Jacobi forms. As a consequence, we also obtain the adjoint of Jacobi-Serre derivative (defined in an unpublished work of Oberdieck). As an application, we obtain certain relations among the Fourier coefficients of Jacobi forms. Comment: 19 pages, comments and suggestions are welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2401.02182 Zobrazit plný text záznamu View this record from Arxiv