JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2017, Vol. 52 ›› Issue (2): 39-43.doi: 10.6040/j.issn.1671-9352.0.2016.125

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Sumsets and subsets of Bohr sets in finite abelian groups

LI Fang, GUANG Ai-xia, LI Guo-quan*   

  1. College of Mathematics Science, Tianjin Normal University, Tianjin 300387, China
  • Received:2016-03-25 Online:2017-02-20 Published:2017-01-18

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Abstract: Let G be a finite abelian group and A,B⊂G. It is proved that there exist a Bohr set B(Γ,δ)and a constant D>0 such that A+B contains a translate of any set T⊂B(Γ,δ)of size at most D.

Key words: sumset, dual group, Bohr set

CLC Number: 

  • O157.1
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[1] 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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