Generalized rank deviations for overpartitions
Fuente:
arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866911277444497408 |
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| author | Allen, Kevin Osburn, Robert Storzer, Matthias |
| author_facet | Allen, Kevin Osburn, Robert Storzer, Matthias |
| contents | We prove formulas for generalized rank deviations for overpartitions. These formulas are in terms of Appell-Lerch series and sums of quotients of theta functions and extend work of Lovejoy and the second author. As an application, we compute a dissection. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_16396 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Generalized rank deviations for overpartitions Allen, Kevin Osburn, Robert Storzer, Matthias Number Theory Combinatorics 11P83, 05A17, 11F37, 11F11, 11F27 We prove formulas for generalized rank deviations for overpartitions. These formulas are in terms of Appell-Lerch series and sums of quotients of theta functions and extend work of Lovejoy and the second author. As an application, we compute a dissection. |
| title | Generalized rank deviations for overpartitions |
| topic | Number Theory Combinatorics 11P83, 05A17, 11F37, 11F11, 11F27 |
| url | https://arxiv.org/abs/2511.16396 |