Geodesic
Subsequence sums of zero-sum-free sequences
The electronic journal of combinatorics, Tome 16 (2009) no. 1
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Let $G$ be a finite abelian group, and let $S$ be a sequence of elements in $G$. 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 slightly improve some results of Pixton on $f(S)$ and we show that for every zero-sum-free sequences $S$ over $G$ of length $|S|=\exp(G)+2$ satisfying $f(S)\geq 4\exp(G)-1$.
DOI : 10.37236/186
Classification : 11B75, 11B13
Mots-clés : zero-sum problems, Davenport's constant, zero-sum-free sequence 
@article{10_37236_186,
     author = {Pingzhi Yuan},
     title = {Subsequence sums of zero-sum-free sequences},
     journal = {The electronic journal of combinatorics},
     year = {2009},
     volume = {16},
     number = {1},
     doi = {10.37236/186},
     zbl = {1248.11021},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/186/}
}
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Pingzhi Yuan. Subsequence sums of zero-sum-free sequences. The electronic journal of combinatorics, Tome 16 (2009) no. 1. doi: 10.37236/186

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