Rank deviations for overpartitions
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866909683098320896 |
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| author | Lovejoy, Jeremy Osburn, Robert |
| author_facet | Lovejoy, Jeremy Osburn, Robert |
| contents | We prove general fomulas for the deviations of two overpartition ranks from the average. These formulas are in terms of Appell--Lerch series and sums of quotients of theta functions and can be used, among other things, to recover any of the numerous overpartition rank difference identities in the literature. We give two illustrations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_03418 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Rank deviations for overpartitions Lovejoy, Jeremy Osburn, Robert Number Theory Combinatorics 11P83, 05A17, 11F37, 11F11, 11F27 We prove general fomulas for the deviations of two overpartition ranks from the average. These formulas are in terms of Appell--Lerch series and sums of quotients of theta functions and can be used, among other things, to recover any of the numerous overpartition rank difference identities in the literature. We give two illustrations. |
| title | Rank deviations for overpartitions |
| topic | Number Theory Combinatorics 11P83, 05A17, 11F37, 11F11, 11F27 |
| url | https://arxiv.org/abs/2307.03418 |