ON THE DISTRIBUTION OF INTEGERS WITH DIVISORS IN TWO CONSECUTIVE INTERVALS

被引：1

作者：

Hu, Yong ^{[1
]}

机构：

[1] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Peoples R China

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2013年 / 9卷 / 04期

关键词：

Divisors; multiplicative structure; counting function; factorization; PROBABILITY;

D O I：

10.1142/S179304211350005X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate a new problem related to the multiplicative structure of integers. We introduce a new function H-1,H-1(x, y, z(1), z(2)), the number of positive integers n <= x having exactly one divisor in interval (y, z(1)] and one in (z(1), z(2)]. Our aim is to estimate its order of magnitude under some general conditions on y, z(1) and z(2).

引用

页码：903 / 915

页数：13

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