Subsequence Sums of Zero-sum free Sequences II

Details Subsequence Sums of Zero-sum free Sequences II Subsequence Sums of Zero-sum free Sequences II

2009-09-11

arxiv.org/abs/0909.2080v2

Mathematics

Number Theory

11pages

Scientific paper

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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