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arXiv · 2005.10809

Sums of Finite Sets of Integers, II

Melvyn B. Nathanson
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Abstract

Let $\mathcal{A}$ be a finite set of integers, and let $h\mathcal{A}$ denote the $h$-fold sumset of $\mathcal{A}$. Let $(h\mathcal{A})^{(t)}$ be subset of $h\mathcal{A}$ consisting of all integers that have at least $t$ representations as a sum of $h$ elements of $\mathcal{A}$. The structure of the set $(h\mathcal{A})^{(t)}$ is completely determined for all $h \geq h_t$.

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Melvyn B. Nathanson. 2020-05-21. Sums of Finite Sets of Integers, II. https://doi.org/10.1080/00029890.2021.1977883

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