On the order of magnitude of the divisor function

被引：3

作者：

Weber, M

机构：

[1] Univ Strasbourg 1, F-67084 Strasbourg, France

[2] CNRS, F-67084 Strasbourg, France

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2006年 / 22卷 / 02期

关键词：

divisor function; prime divisors; Bernoulli random walk;

D O I：

10.1007/s10114-005-0679-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let D be an increasing sequence of positive integers, and consider the divisor functions: [GRAPHICS] where [d, delta] = l. c. m.(d, delta). A probabilistic argument is introduced to evaluate the series Sigma(infinity)(n= 1) a(n)d (n, D) and Sigma(infinity)(n=1) a(n)d(2)(n, D).

引用

页码：377 / 382

页数：6