Differential algebras of quasi-Jacobi forms of index zero
Number Theory
2025-03-28 v2 Rings and Algebras
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
Keywords
Cite
@article{arxiv.2410.11344,
title = {Differential algebras of quasi-Jacobi forms of index zero},
author = {François Dumas and François Martin and Emmanuel Royer},
journal= {arXiv preprint arXiv:2410.11344},
year = {2025}
}