Some inverse results of sumsets

Min Tang; Yun Xing

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arXiv · 1911.00854

Some inverse results of sumsets

Min Tang·Yun Xing

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Abstract

Let $h\geq 2$ and $A=\{a_0,a_1,\ldots,a_{k-1}\}$ be a finite set of integers. It is well-known that $\left|hA\right|=hk-h+1$ if and only if $A$ is a $k$-term arithmetic progression. In this paper, we give some nontrivial inverse results of the sets $A$ with some extrema the cardinalities of $hA$.

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Min Tang, Yun Xing. 2019-11-03. Some inverse results of sumsets. https://arxiv.org/abs/1911.00854

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