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arXiv · 2209.13798

On possible sums from multiset of mutually divisible natural numbers

Yizhou Guo
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Abstract

Let $A$ be a finite multiset of $\mathbb{N}$ such for any two $a_i,a_j \in A$, $a_i | a_j$ or $a_j | a_i$. We describe the structure of the set $\hbox{span}(A)$ of all sums of submultisets of $A$, and in particular give a criterion of $\hbox{span}(A)=\hbox{span}(B)$ for two multisets $A,B$.

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Yizhou Guo. 2026-08-13. On possible sums from multiset of mutually divisible natural numbers. https://arxiv.org/abs/2209.13798

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