Sums and products with smooth numbers

被引：3

作者：

Banks, William D. ^{[1
]}

Covert, David J. ^{[1
]}

机构：

[1] Univ Missouri, Dept Math, Columbia, MO 65211 USA

来源：

JOURNAL OF NUMBER THEORY | 2011年 / 131卷 / 06期

关键词：

Sumset; Productset; Smooth numbers; Combinatorics; Number theory; SET;

D O I：

10.1016/j.jnt.2010.11.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We estimate the sizes of the sumset A + A and the productset A . A in the special case that A = S(x, y), the set of positive integers n <= x free of prime factors exceeding y. Published by Elsevier Inc.

引用

页码：985 / 993

页数：9

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