Sums of Finite Sets of Integers, II

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 $h\ge h_t$.

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Cited by in corpus (1)

• On the structure of the $h$-fold sumsets