ON SUM-FREE SUBSETS OF THE TORUS GROUP

被引：2

作者：

Lev, Vsevolod F. ^{[1
]}

机构：

[1] Univ Haifa, Dept Math, IL-36006 Tivon, Israel

来源：

FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI | 2007年 / 37卷 / 02期

关键词：

sum-free sets;

D O I：

10.7169/facm/1229619653

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Establishing the structure of dense sum-free subsets of the torus group R/Z, we find an absolute constant alpha(0) < 1/3 such that for any sum-free subset A subset of R/Z with the inner measure mu(A) > alpha(0) there exists an integer q >= 1 so that A subset of boolean OR(q=1)(j=1) [j + mu(A)/q, j + 1 - mu(A)/q].

引用

页码：277 / 283

页数：7

共 7 条

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[3] Sum-free sets in abelian groups
Green, B
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[4] Lev V.F., REFINED BOUND SUM FR
[5] Large sum-free sets in ternary spaces
Lev, VF
[J]. JOURNAL OF COMBINATORIAL THEORY SERIES A, 2005, 111 (02) : 337 - 346
[6] Large sum-free sets in Z/pZ
Lev, Vsevolod F.
[J]. ISRAEL JOURNAL OF MATHEMATICS, 2006, 154 (1) : 221 - 233
[7] Raikov D., 1939, REC MATH, V5, P425

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