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

页码：53 / 64

页数：12

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