Legendre theorems for certain overpartitions and overpartition pairs
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910747559198720 |
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| author | Andrews, George E. Bachraoui, Mohamed El |
| author_facet | Andrews, George E. Bachraoui, Mohamed El |
| contents | Motivated by two Legendre-type formulas for overpartitions, we derive a variety of their companions as Legendre theorems for overpartition pairs. This leads to equalities of subclasses of overpartitions and overpartition pairs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_11508 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Legendre theorems for certain overpartitions and overpartition pairs Andrews, George E. Bachraoui, Mohamed El Number Theory 11P81, 05A17, 11D09 Motivated by two Legendre-type formulas for overpartitions, we derive a variety of their companions as Legendre theorems for overpartition pairs. This leads to equalities of subclasses of overpartitions and overpartition pairs. |
| title | Legendre theorems for certain overpartitions and overpartition pairs |
| topic | Number Theory 11P81, 05A17, 11D09 |
| url | https://arxiv.org/abs/2412.11508 |