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arXiv · 2109.04377

A result on the size of iterated sumsets in $\mathbb{Z}^d$

Ilija Vrećica
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Abstract

In this paper we give a different approach to determining the cardinality of $h$-fold sumsets $hA$ when $A\subset \mathbb{Z}^d$ has $d+2$ elements. This enables us to provide more general result with a shorter and simpler proof. We also obtain an upper bound for the value of $|hA|$ when $A\subset \mathbb{Z}^d$ is a set of $d+3$ elements with simplicial hull.

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Ilija Vrećica. 2021-09-09. A result on the size of iterated sumsets in $\mathbb{Z}^d$. https://arxiv.org/abs/2109.04377

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