Differential algebras of quasi-Jacobi forms of index zero

François Dumas; François Martin; Emmanuel Royer

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arXiv · 2410.11344

Differential algebras of quasi-Jacobi forms of index zero

François Dumas·François Martin·Emmanuel Royer

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Abstract

The notion of double depth associated with quasi-Jacobi forms allows distinguishing, within the algebra of quasi-Jacobi singular forms of index zero, certain significant subalgebras (modular-type forms, elliptic-type forms, Jacobi forms). We study the stability of these subalgebras under the derivations of this algebra and through certain sequences of bidifferential operators constituting analogs of Rankin-Cohen brackets or transvectants

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François Dumas, François Martin, Emmanuel Royer. 2024-10-15. Differential algebras of quasi-Jacobi forms of index zero. https://arxiv.org/abs/2410.11344

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