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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2410.11344 |
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| _version_ | 1866909554604769280 |
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| author | Dumas, François Martin, François Royer, Emmanuel |
| author_facet | Dumas, François Martin, François Royer, Emmanuel |
| contents | 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 |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_11344 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Differential algebras of quasi-Jacobi forms of index zero Dumas, François Martin, François Royer, Emmanuel Number Theory Rings and Algebras 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 |
| title | Differential algebras of quasi-Jacobi forms of index zero |
| topic | Number Theory Rings and Algebras |
| url | https://arxiv.org/abs/2410.11344 |