一类包含欧拉函数的方程

数学季刊 ›› 2009, Vol. 24 ›› Issue (4): 605-608.

一类包含欧拉函数的方程

1. College of Mathematics and Information Science, Henan University2. Department of Basic Studies, Sias International School of Zhengzhou University

收稿日期:2006-06-25 出版日期:2009-12-30 发布日期:2023-06-19
作者简介:LI Yi-jun(1972-), male, native of Yanshi, Henan, an associate professor of Henan University, Ph.D., engages in analytic number theory.
基金资助:
Supported by the National Natural Science Foundation of China(10671056)；

Some Kind of Equations Involving Euler's Function

1. College of Mathematics and Information Science, Henan University2. Department of Basic Studies, Sias International School of Zhengzhou University

Received:2006-06-25 Online:2009-12-30 Published:2023-06-19
About author:LI Yi-jun(1972-), male, native of Yanshi, Henan, an associate professor of Henan University, Ph.D., engages in analytic number theory.
Supported by:
Supported by the National Natural Science Foundation of China(10671056)；

摘要/Abstract

摘要： For any given positive integer n≥1, the Euler function φ(n) is defined to be the number of positive integers not exceeding n which are relatively prime to n. ω(n) is defined to be the number of different prime divisors of n. Some kind of equations involving Euler’s function is studied in the paper.

关键词: Euler's function, equation, number of solutions

Abstract: For any given positive integer n≥1, the Euler function φ(n) is defined to be the number of positive integers not exceeding n which are relatively prime to n. ω(n) is defined to be the number of different prime divisors of n. Some kind of equations involving Euler’s function is studied in the paper.

Key words: Euler's function, equation, number of solutions

中图分类号:

O156.4

李怡君, 李育生. 一类包含欧拉函数的方程[J]. 数学季刊, 2009, 24(4): 605-608.

Ll Yi-jun, Ll Yu-sheng. Some Kind of Equations Involving Euler's Function[J]. Chinese Quarterly Journal of Mathematics, 2009, 24(4): 605-608.

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