| 包含Smarandache LCM函数的方程的解 |
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| 引用本文： | 王明军.包含Smarandache LCM函数的方程的解[J].海南大学学报(自然科学版),2012,39(1):7-8. |
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| 作者姓名： | 王明军 |
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| 作者单位： | 渭南师范学院数学与信息科学学院,陕西渭南,714000 |
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| 摘 要： | 用分类讨论和初等方法完全解决了方程SL（n）=am（n）和SL（n）=φ（n2）的可解性,其中am（n）为n的m次幂剩余数,φ（n）为欧拉函数,丰富了数论函数SL（n）的性质和数论函数方程的研究.
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| 关 键 词： | Smarandache LCM函数 m次幂剩余数 Euler函数 解 |
Solutions of Equation Involving the Smarandache LCM Function |
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| WANG Ming-jun.Solutions of Equation Involving the Smarandache LCM Function[J].Natural Science Journal of Hainan University,2012,39(1):7-8. |
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| Authors: | WANG Ming-jun |
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| Institution: | WANG Ming-jun(Department of Mathematics and Information Science,Weinan Teachers University,Weinan 714000,China) |
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| Abstract: | In our report,the elementary methods and classification discussion were used to solve the solvability of equation SL(n)=am(n) and SL(n)=φ(n2),in which am(n) denoted m-th power residues of n,φ(n) denoted the Euler function,and which enriched the properties of SL(n) and the study of functional equation. |
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| Keywords: | Smarandache LCM function m-th power residues Euler function solutions |
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