Current browse context:
math.CO
Change to browse by:
References & Citations
Mathematics > Combinatorics
Title: Three Simple Reduction Formulas for the Denumerant Functions
(Submitted on 22 Apr 2024 (v1), last revised 24 Apr 2024 (this version, v2))
Abstract: 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, Sert\"oz-\"Ozl\"uk, 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.
Submission history
From: FeiHu Liu [view email][v1] Mon, 22 Apr 2024 08:56:38 GMT (6kb,D)
[v2] Wed, 24 Apr 2024 12:59:19 GMT (7kb,D)
Link back to: arXiv, form interface, contact.