北华大学学报（自然科学版）2016，Vol.17Issue(5)：577-580,4.DOI:10.11713/j.issn.1009-4822.2016.05.004
一类Euler函数方程的解的上界
Upper Bounds of the Solutions of a Class of Euler’ Functional Equation
摘要
Abstract
Let φ( n) is Euler function of a positive integer n. The nature of the Euler function is interesting research topics in number theory. On the basis of the literature, we discuss Euler functional equation φ( x1…xn-1xn)=m(φ(x1)+…+φ(xn-1)+φ(xn)),and the more accurate upper bounds of all positive integer solutions of the equation are given. As the application, we obtain all solutions of the equation for some given positive integers m and n.关键词
Euler函数/函数方程/正整数解/解的上界Key words
Euler function/functional equation/positive integer solutions/upper bound of solutions分类
数理科学引用本文复制引用
谢自珍,蒋卓玲,何海霞,黄美玲..一类Euler函数方程的解的上界[J].北华大学学报（自然科学版）,2016,17(5):577-580,4.基金项目
四川省教育厅自然科学研究项目(15ZA0337) （15ZA0337）
阿坝师范学院科研课题项目(JXYZ201506) （JXYZ201506）
