THREE-TERM ARITHMETIC PROGRESSIONS AND SUMSETS

被引：7

作者：

Sanders, Tom ^{[1
]}

机构：

[1] Univ Cambridge, Dept Pure Math & Math Stat, Cambridge CB3 0WA, England

来源：

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2009年 / 52卷

关键词：

arithmetic progressions; Fourier transform; FREIMANS THEOREM; INTEGER SETS; PROOF;

D O I：

10.1017/S0013091506001398

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Suppose that G is an abelian group and that A subset of G is finite and contains no non-trivial three-term arithmetic progressions. We show that vertical bar A+A vertical bar >>(epsilon)vertical bar A vertical bar(log vertical bar A vertical bar)(1/3-epsilon).

引用

页码：211 / 233

页数：23

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