Generalized cubic partitions
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913335464689664 |
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| author | Amdeberhan, Tewodros Singh, Ajit |
| author_facet | Amdeberhan, Tewodros Singh, Ajit |
| contents | A cubic partition consists of partition pairs $(λ,μ)$ such that $\vertλ\vert+\vertμ\vert=n$ where $μ$ involves only even integers but no restriction is placed on $λ$. This paper initiates the notion of generalized cubic partitions and will prove a number of new congruences akin to the classical Ramanujan-type. The tools emphasize three methods of proofs. The paper concludes with a conjecture on the rarity of the aforementioned Ramanujan-type congruences. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_06473 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Generalized cubic partitions Amdeberhan, Tewodros Singh, Ajit Number Theory A cubic partition consists of partition pairs $(λ,μ)$ such that $\vertλ\vert+\vertμ\vert=n$ where $μ$ involves only even integers but no restriction is placed on $λ$. This paper initiates the notion of generalized cubic partitions and will prove a number of new congruences akin to the classical Ramanujan-type. The tools emphasize three methods of proofs. The paper concludes with a conjecture on the rarity of the aforementioned Ramanujan-type congruences. |
| title | Generalized cubic partitions |
| topic | Number Theory |
| url | https://arxiv.org/abs/2404.06473 |