On the integer partitions recursive structure
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866910043822096384 |
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| author | Rubinstein, Boris Y. |
| author_facet | Rubinstein, Boris Y. |
| contents | Sylvester showed that the partition of an integer into a set of positive integers can be represented as a sum of the polynomial term and quasiperiodic components called the Sylvester waves. The wave itself is a weighted sum of the polynomial terms multiplied by the periodic functions. The integer weights are found to be a sum of partitions into a smaller set of integers implying the recursive structure of integer partitions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_06438 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the integer partitions recursive structure Rubinstein, Boris Y. Number Theory 11P82 Sylvester showed that the partition of an integer into a set of positive integers can be represented as a sum of the polynomial term and quasiperiodic components called the Sylvester waves. The wave itself is a weighted sum of the polynomial terms multiplied by the periodic functions. The integer weights are found to be a sum of partitions into a smaller set of integers implying the recursive structure of integer partitions. |
| title | On the integer partitions recursive structure |
| topic | Number Theory 11P82 |
| url | https://arxiv.org/abs/2603.06438 |