On the number of zero-sum subsequences

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• 作者：Hui-Qin Cao ; Zhi-Wei Sun
• 关键词：Zero-sum sequence ; Combinatorial sum
• 刊名：Discrete Mathematics
• 出版年：2007
• 出版时间：6 June 2007
• 年：2007
• 卷：307
• 期：13
• 页码：1687-1691
• 全文大小：132 K

文摘

For a sequence S of elements from an additive abelian group G, let f(S) denote the number of subsequences of S the sum of whose terms is zero. In this paper we characterize all sequences S in G with f(S)>2^|S|-2, where |S| denotes the number of terms of S.