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.
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页码：225 / 234
页数：10
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