On some sums involving the counting function of nonisomorphic Abelian groups*

被引：0
|
作者：
Haihong Fan
Wenguang Zhai
机构：
[1] China University of Mining and Technology,Department of Mathematics
来源：
Lithuanian Mathematical Journal | 2023年 / 63卷
关键词：
finite Abelian group; Dirichlet ; -function; Perron’s formula; 11N37;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Let a(n) denote the number of nonisomorphic Abelian groups with n elements. In 1991, Ivić proved an asymptotic formula for the sum Σn≤x a(n + a(n)). In this paper, we prove a sharper asymptotic formula for this sum. Also, we extend this process to the divisor function and construct a similar result.
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页码：166 / 180
页数：14
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