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arXiv · 0909.2080

Subsequence Sums of Zero-sum free Sequences II

Pingzhi Yuan
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Abstract

Let $G$ be a finite abelian group, and let $S$ be a sequence over $G$. Let $f(S)$ denote the number of elements in $G$ which can be expressed as the sum over a nonempty subsequence of $S$. In this paper, we determine all the sequences $S$ that contains no zero-sum subsequences and $f(S)\leq 2|S|-1$.

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Pingzhi Yuan. 2009-09-14. Subsequence Sums of Zero-sum free Sequences II. https://arxiv.org/abs/0909.2080

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