Legendre theorems for a class of partitions with initial repetitions
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
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| _version_ | 1866909224860123136 |
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| author | Nyirenda, Darlison Mugwangwavari, Beaullah |
| author_facet | Nyirenda, Darlison Mugwangwavari, Beaullah |
| contents | Partitions with initial repetitions were introduced by George Andrews. We consider a subclass of these partitions and find Legendre theorems associated with their respective partition functions. The results in turn provide partition theoretic interpretations of some Rogers-Ramanujan identities due to Lucy J. Slater. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_10756 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Legendre theorems for a class of partitions with initial repetitions Nyirenda, Darlison Mugwangwavari, Beaullah Combinatorics Partitions with initial repetitions were introduced by George Andrews. We consider a subclass of these partitions and find Legendre theorems associated with their respective partition functions. The results in turn provide partition theoretic interpretations of some Rogers-Ramanujan identities due to Lucy J. Slater. |
| title | Legendre theorems for a class of partitions with initial repetitions |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2212.10756 |