On the restricted partition function II

2016/10/31 by Mircea Cimpoeaş, Cimpoeas, Mircea, Florin Nicolae +1
Mathematics · #05A15 #05A17 #11P82 (Secondary) #11P83 (Primary) #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Analytic Number Theory Research #Combinatorics (math.CO) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1611.00256

openalex publication_date 2016/10/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let \mathbf a=(a₁,…,a_r) be a vector of positive integers. In continuation of a previous paper we present other formulas for the restricted partition function p_{\mathbf a}(n): = the number of integer solutions (x₁,…,x_r) to ∑_j=1^r a_jx_j=n with x₁≥ 0, …, x_r≥ 0.

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