The structure of long minimal zero-sum sequences over integral intervals

DENG Guixin; ZENG Xiangneng

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The structure of long minimal zero-sum sequences over integral intervals

更新时间：2023-12-11

- The structure of long minimal zero-sum sequences over integral intervals
- Acta Scientiarum Naturalium Universitatis SunYatseni Vol. 57, Issue 2, Pages: 61-65(2018)
- 作者机构：
  
  1. 广西师范学院数学与统计科学学院,广西,南宁,530001
  2. 
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2018，
  
  Published Online：25 March 2018，
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DENG Guixin, ZENG Xiangneng. The structure of long minimal zero-sum sequences over integral intervals. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 57(2):61-65(2018)
DOI：

DENG Guixin, ZENG Xiangneng. The structure of long minimal zero-sum sequences over integral intervals. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 57(2):61-65(2018) DOI：

摘要

有限交换群上的零和问题已经有很长研究历史，但是无限群上的零和问题的结论还比较少。主要研究整数集上的极小零和序列，得到了有限区间［－m

n］上所有长度不小于n+m－2的极小零和序列的结构。

Abstract

The research of zerosum problems over finite abelian groups has a long history

while there are only a few results concerned about zero-sum problems over infinite groups. The minimal zero-sum sequences over integers are studied. The structure of minimal zero-sum sequences over an integral interval ［－m

n］ whose lengths are at least n+m－2 is obtained.

关键词

序列零和极小零和Davenport常数

Keywords

sequenceszero-summinimal zero-sumDavenport constant

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