Some remarks on sets with small quotient set

被引：7

作者：

Shkredov, I. D. ^{[1
]}

机构：

[1] Russian Acad Sci, Steklov Math Inst, Moscow, Russia

来源：

SBORNIK MATHEMATICS | 2017年 / 208卷 / 12期

基金：

俄罗斯科学基金会;

关键词：

additive combinatorics; sum-product phenomenon; Erdos-Szemeredi conjecture; PRODUCT SET; SUMS; NUMBER;

D O I：

10.1070/SM8733

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that for any finite set A subset of R with vertical bar A/A vertical bar << vertical bar A vertical bar we have vertical bar A - A vertical bar >> vertical bar A vertical bar(5/3-o(1)). We also show that for such sets vertical bar A + A + A vertical bar >> vertical bar A vertical bar(2-o(1)).

引用

页码：1854 / 1868

页数：15

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