Three Simple Reduction Formulas for the Denumerant Functions
arxiv(2024)
摘要
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.
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