Three Simple Reduction Formulas for the Denumerant Functions
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866912007899316224 |
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| author | Liu, Feihu Xin, Guoce Zhang, Chen |
| author_facet | Liu, Feihu Xin, Guoce Zhang, Chen |
| contents | Let $A$ be a nonempty set of positive integers. The restricted partition function $p_A(n)$ denotes the number of partitions of $n$ with parts in $A$. When the elements in $A$ are pairwise relatively prime positive integers, Ehrhart, Sertöz-Özlük, and Brown-Chou-Shiue derived three reduction formulas for $p_A(n)$ for $A$ with three parameters. We extend their findings for general $A$ using the Bernoulli-Barnes polynomials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_13989 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Three Simple Reduction Formulas for the Denumerant Functions Liu, Feihu Xin, Guoce Zhang, Chen Combinatorics Number Theory Let $A$ be a nonempty set of positive integers. The restricted partition function $p_A(n)$ denotes the number of partitions of $n$ with parts in $A$. When the elements in $A$ are pairwise relatively prime positive integers, Ehrhart, Sertöz-Özlük, and Brown-Chou-Shiue derived three reduction formulas for $p_A(n)$ for $A$ with three parameters. We extend their findings for general $A$ using the Bernoulli-Barnes polynomials. |
| title | Three Simple Reduction Formulas for the Denumerant Functions |
| topic | Combinatorics Number Theory |
| url | https://arxiv.org/abs/2404.13989 |