Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.20375 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912295032979456 |
|---|---|
| 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 |