数学年刊B辑(英文版)2024,Vol.45Issue(5) :767-776.DOI:10.1007/s11401-024-0038-0

A Generalization of Vosper's Theorem

Yujie WANG Min TANG
数学年刊B辑(英文版)2024,Vol.45Issue(5) :767-776.DOI:10.1007/s11401-024-0038-0

A Generalization of Vosper's Theorem

Yujie WANG 1Min TANG1
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作者信息

  • 1. School of Mathematics and Statistics,Anhui Normal University,Wuhu 241002,Anhui,China
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Abstract

Let Z/mZ be the ring of residual classes modulo m,and let A and B be nonempty subsets of Z/mZ.In this paper,the authors give the structure of A and B for which|A+B|=|A|+|B|-1=m-2.

Key words

Sumsets/Inverse problem/Vosper's theorem/Kemperman's theorem

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基金项目

National Natural Science Foundation of China(12101007)

National Natural Science Foundation of China(12371003)

Natural Science Foundation of Anhui Province(2008085QA06)

出版年

2024
数学年刊B辑(英文版)
国家教育部委托复旦大学主办

数学年刊B辑(英文版)

CSTPCD
影响因子:0.129
ISSN:0252-9599
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