The number of maximal unrefinable partitions
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866911326663606272 |
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| author | Aragona, Riccardo Campioni, Lorenzo Civino, Roberto |
| author_facet | Aragona, Riccardo Campioni, Lorenzo Civino, Roberto |
| contents | This paper completes the classification of maximal unrefinable partitions, extending a previous work of Aragona et al. devoted only to the case of triangular numbers. We show that the number of maximal unrefinable partitions of an integer coincides with the number of suitable partitions into distinct parts, depending on the distance from the successive triangular number. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_04261 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The number of maximal unrefinable partitions Aragona, Riccardo Campioni, Lorenzo Civino, Roberto Combinatorics Number Theory This paper completes the classification of maximal unrefinable partitions, extending a previous work of Aragona et al. devoted only to the case of triangular numbers. We show that the number of maximal unrefinable partitions of an integer coincides with the number of suitable partitions into distinct parts, depending on the distance from the successive triangular number. |
| title | The number of maximal unrefinable partitions |
| topic | Combinatorics Number Theory |
| url | https://arxiv.org/abs/2206.04261 |