Alg{è}bres diff{é}rentielles de formes quasi-Jacobi d'indice nul
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912295032979456 |
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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 the algebra of quasi-Jacobi singular forms of index zero and through certain sequences of bidifferential operators constituting analogs of Rankin-Cohen brackets or transvectants. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_20375 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Alg{è}bres diff{é}rentielles de formes quasi-Jacobi d'indice nul Dumas, François Martin, François Royer, Emmanuel Number Theory 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 the algebra of quasi-Jacobi singular forms of index zero and through certain sequences of bidifferential operators constituting analogs of Rankin-Cohen brackets or transvectants. |
| title | Alg{è}bres diff{é}rentielles de formes quasi-Jacobi d'indice nul |
| topic | Number Theory |
| url | https://arxiv.org/abs/2503.20375 |