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arXiv · 2212.10377

A nonlinear bound for the number of subsequence sums

Vsevolod F. Lev
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Abstract

We show that a finite zero-sum-free sequence $α$ over an abelian group has at least $c|α|^{4/3}$ distinct subsequence sums, unless $α$ is "controlled" by a small number of its terms; here $|α|$ denotes the number of terms of $α$, and $c>0$ is an absolute constant.

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Vsevolod F. Lev. 2022-12-20. A nonlinear bound for the number of subsequence sums. https://arxiv.org/abs/2212.10377

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