On subsequence sums of a zero-sum free sequence. II. (Q1010851)
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scientific article; zbMATH DE number 5541022
| Language | Label | Description | Also known as |
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| English | On subsequence sums of a zero-sum free sequence. II. |
scientific article; zbMATH DE number 5541022 |
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On subsequence sums of a zero-sum free sequence. II. (English)
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7 April 2009
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Summary: Let \(G\) be an additive finite abelian group with exponent \(\exp (G) = n\). For a sequence \(S\) over \(G\), let \(f(S)\) denote the number of non-zero group elements which can be expressed as a sum of a nontrivial subsequence of \(S\). We show that for every zero-sum free sequence \(S\) over \(G\) of length \(|S| = n+1\) we have \(f(S) \geq 3n-1\). Part I, see F. Sun, Electron. J. Comb. 14, No. 1, Research Paper R52, 9 p. (2007; Zbl 1206.11022).
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