摘要
利用初等方法,结合广义Euler函数、伪Smarandache函数和Smarandache LCM函数的定义、性质和计算公式,研究了数论函数方程φ_(e)(n)=Z(SL(n))(e=8,12)的可解性,得到了两个数论函数方程的所有正整数解。
The solvability ofφ_(e)(n)=Z(SL(n))(e=8,12)was studied by using elementary methods,combining the properties and formulas of generalized Euler function,pseudo-Smarandache function and Smarandache LCM function.All positive integer solutions of the two equations were obtained.
作者
高丽
GAO Li(College of Information Engineering,Xi'an Fanyi University,Xi'an 710105,China;College of Mathematics and Computer Science,Yan'an University,Yan'an 716000,China)
出处
《沈阳大学学报(自然科学版)》
2025年第5期437-444,共8页
Journal of Shenyang University(Natural Science)
基金
国家自然科学基金资助项目(62261055,11471007)。
