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arXiv:2005.10809 [math.NT]AbstractReferencesReviewsResources

Sums of Finite Sets of Integers, II

Melvyn B. Nathanson

Published 2020-05-21Version 1

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 $h \geq h_t$.

Comments: 8 pages
Categories: math.NT, math.CO
Subjects: 11B13, 11B34, 11B75, 11D07
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