关于立方幂补数倒数的性质

数学季刊 ›› 2007, Vol. 22 ›› Issue (3): 459-464.

关于立方幂补数倒数的性质

1. Department of Mathematics Anyang Teacher's College 2. Department of Applied Nanyang Institute of Technology

收稿日期:2005-11-15 出版日期:2007-09-30 发布日期:2023-10-30
作者简介: GUO Yarmei(1963- ), female, native of Anyang, Henan, an associate professor of Anyang Teacher^ College, engages in number theory.

On the Property of Cubic Complements

1. Department of Mathematics Anyang Teacher's College 2. Department of Applied Nanyang Institute of Technology

Received:2005-11-15 Online:2007-09-30 Published:2023-10-30
About author: GUO Yarmei(1963- ), female, native of Anyang, Henan, an associate professor of Anyang Teacher^ College, engages in number theory.

摘要/Abstract

摘要： Let n be any positive integer,and S(n) be the cubic complements of n.The main purpose of this paper is to study the asymptotic of sum from (n≤x) (n/(S(n)))k (k≥1).And by using the elementary methods,it intends to give two sharper asymptotic formulas,and thus extends the related conclusious.

关键词: cubic complement, reciprocal, mean value, asymptotic formula

Abstract: Let n be any positive integer,and S(n) be the cubic complements of n.The main purpose of this paper is to study the asymptotic of sum from (n≤x) (n/(S(n)))k (k≥1).And by using the elementary methods,it intends to give two sharper asymptotic formulas,and thus extends the related conclusious.

Key words: cubic complement, reciprocal, mean value, asymptotic formula

中图分类号:

O156

郭亚梅, 张洪奎. 关于立方幂补数倒数的性质[J]. 数学季刊, 2007, 22(3): 459-464.

GUO Ya-mef, ZHANG Hong-kui. On the Property of Cubic Complements [J]. Chinese Quarterly Journal of Mathematics, 2007, 22(3): 459-464.

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