ON THE GREATEST PRIME FACTOR OF ab+1

被引：3

作者：

Matomaki, K. ^{[1
]}

机构：

[1] Univ Turku, Dept Math, Turku 20014, Finland

来源：

ACTA MATHEMATICA HUNGARICA | 2009年 / 124卷 / 1-2期

关键词：

greatest prime factor; Kloosterman sums; linear sieve;

D O I：

10.1007/s10474-009-8163-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that whenever A and B are dense enough subsets of (1,..., N}, there exist a epsilon A and b epsilon B such that the greatest prime factor of ab + 1 is at least N1+vertical bar A vertical bar(9N).

引用

页码：115 / 123

页数：9

共 8 条

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