On subsequence sums of a zero-sum free sequence. II.
type: Item
instance of: scholarly article
title: On subsequence sums of a zero-sum free sequence. II.
zbMATH Open document ID: 1207.11025
author: Weidong Gao
author: Jiangtao Peng
author: Fang Sun
author: Yuanlin Li
published in: The Electronic Journal of Combinatorics
publication date: 2009-04-07T00:00:00Z
full work available at URL: https://eudml.org/doc/117269
full work available at URL: v15i1r117.html
review text: 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).
Mathematics Subject Classification ID: 11B50
Mathematics Subject Classification ID: 05E15
Mathematics Subject Classification ID: 20K01
zbMATH DE Number: 5541022
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5541022