On the distribution of r-tuples of squarefree numbers in short intervals

被引：5
|
作者：
Tolev, D. I. [1 ]
机构：
[1] Paisij Hilendarski Univ Plovdiv, Dept Math, BG-4000 Plovdiv, Bulgaria
来源：
INTERNATIONAL JOURNAL OF NUMBER THEORY | 2006年 / 2卷 / 02期
关键词：
squarefree numbers; sieve methods;
D O I：
10.1142/S179304210600053X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the number of r-tuples of squarefree numbers in a short interval. We prove that it cannot be much bigger than the expected value and we also establish an asymptotic formula if the interval is not very short.
引用
收藏
页码：225 / 234
页数：10
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