Quasi-Jacobi forms, Appell-Lerch functions, and false theta functions as q-brackets of functions on partitions
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| author | Bringmann, Kathrin van Ittersum, Jan-Willem Kaszian, Jonas |
| author_facet | Bringmann, Kathrin van Ittersum, Jan-Willem Kaszian, Jonas |
| contents | We study certain algebras of theta-like functions on partitions, for which the corresponding generating functions give rise to theta functions, quasi-Jacobi forms, Appell-Lerch sums, and false theta functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_02820 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quasi-Jacobi forms, Appell-Lerch functions, and false theta functions as q-brackets of functions on partitions Bringmann, Kathrin van Ittersum, Jan-Willem Kaszian, Jonas Number Theory Combinatorics 11F27, 11F37, 11F50, 11P82 We study certain algebras of theta-like functions on partitions, for which the corresponding generating functions give rise to theta functions, quasi-Jacobi forms, Appell-Lerch sums, and false theta functions. |
| title | Quasi-Jacobi forms, Appell-Lerch functions, and false theta functions as q-brackets of functions on partitions |
| topic | Number Theory Combinatorics 11F27, 11F37, 11F50, 11P82 |
| url | https://arxiv.org/abs/2401.02820 |