On the distribution of square-full numbers in arithmetic progressions

被引：6
|
作者：
Liu, Huaning [1 ]
Zhang, Ting [1 ]
机构：
[1] NW Univ Xian, Dept Math, Xian, Shaanxi, Peoples R China
来源：
ARCHIV DER MATHEMATIK | 2013年 / 101卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Square-full number; Arithmetic progression; Perron's formula; DIRICHLET L-FUNCTIONS; HYBRID BOUNDS; INTEGERS;
D O I：
10.1007/s00013-013-0525-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A positive integer n is called a square-full number if p (2) divides n whenever p is a prime divisor of n. In this paper we study the distribution of square-full numbers in arithmetic progressions by using the properties of Riemann zeta functions and Dirichlet L-functions.
引用
收藏
页码：53 / 64
页数：12
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