数论函数方程 Z( n )= φ 5 ( SL( n ) )的可解性
The Solvability of Arithmetic Equation Z( n )= φ 5 ( S
摘要: 本文利用伪Smarandache函数、Smarandache LCM函数以及广义欧拉函数的基本性质，讨论了数论函数方程Z(n)=φe(SL(n))(e=5)的可解性，证明了该方程无正整数解。
Abstract: In this paper, the solvability of the number theoretic functionZ(n)=φe(SL(n))(e=5)is discussed by using the basic properties of pseudo-Smarandache function, Smarandache LCM function and generalized Euler function. It is proved that this equation has no positive integer solution.
文章引用：向万国, 尹秘, 王军, 钟佐琴. 数论函数方程 Z( n )= φ 5 ( SL( n ) )的可解性[J]. 理论数学, 2024, 14(6): 440-446. https://doi.org/10.12677/pm.2024.146262

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