有限域上的和集与子空间的平移

doi:10.6040/j.issn.1671-9352.0.2017.220

山东大学学报（理学版） ›› 2018, Vol. 53 ›› Issue (4): 7-10.doi: 10.6040/j.issn.1671-9352.0.2017.220

有限域上的和集与子空间的平移

曹亚萌,黎娇,李国全^*

天津师范大学数学科学学院, 天津 300387

收稿日期:2017-05-10 出版日期:2018-04-20 发布日期:2018-04-13
通讯作者: 李国全(1969— ),男,教授,研究方向为调和分析与解析数论. E-mail:lgq6964@263.net E-mail:1144954927@qq.com
作者简介:曹亚萌(1993— ),女,硕士研究生,研究方向为极值集合论. E-mail:1144954927@qq.com
基金资助:
国家自然科学基金资助项目(11471043)

On sumsets and translates of vector subspaces over finite fields

CAO Ya-meng, LI Jiao, LI Guo-quan^*

College of Mathematics Science, Tianjin Normal University, Tianjin 300387, China

Received:2017-05-10 Online:2018-04-20 Published:2018-04-13

摘要/Abstract

摘要： 对于有限域模型F ⁿ_p 与A,B⊂F ⁿ_p,说明了存在子空间V与常数D>0满足dim V≥D,并且A+B中含有V的平移。

关键词: 和集, Bohr集, 对偶群

Abstract: Let F ⁿ_p be a finite field model and A,B⊂F ⁿ_p, it is shown that there exist a vector subspaces V and a constant D>0 such that dim V≥D and A+B contains a translate of the subspace V.

Key words: dual group, sumset, Bohr set

中图分类号:

O157.1

曹亚萌,黎娇,李国全. 有限域上的和集与子空间的平移[J]. 山东大学学报（理学版）, 2018, 53(4): 7-10.

CAO Ya-meng, LI Jiao, LI Guo-quan. On sumsets and translates of vector subspaces over finite fields[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2018, 53(4): 7-10.

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有限域上的和集与子空间的平移

On sumsets and translates of vector subspaces over finite fields

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