| 关于Smarandache方程的可解性 |
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| 引用本文： | 赵教练.关于Smarandache方程的可解性[J].华东师范大学学报(自然科学版),2011,2011(3):68-72. |
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| 作者姓名： | 赵教练 |
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| 作者单位： | 渭南师范学院,数学与信息科学系,陕西,渭南,714000 |
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| 基金项目： | 陕西省自然科学基础研究计划，陕西省教育厅专项计划，渭南师范学院科研计划 |
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| 摘 要： | 研究包含经典的Euler函数与Smarandache函数的算术方程,利用分类等初等数论方法,给出了此方程解的一般形式,得到三个有趣的定理,改进和补充了已有的结论.
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| 关 键 词： | Smarandache函数 Euler函数 可解性 |
| 收稿时间： | 2010-10-1 |
| 修稿时间： | 2011-1-1 |
Solvability of equations involving Smarandache function |
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| ZHAO Jiao-lian.Solvability of equations involving Smarandache function[J].Journal of East China Normal University(Natural Science),2011,2011(3):68-72. |
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| Authors: | ZHAO Jiao-lian |
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| Institution: | Department of Mathematics and Informatics, Weinan Teacher's College Weinan Shaanxi 714000, China |
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| Abstract: | This acticle studied the arithmetical equation involving Euler totient function and Smarandache function. By using elementary number theory methods, the general form of solutons was discussed, and three interesting theories were obtained. The existed results were improved. |
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| Keywords: | Smarandache function Euler's totient function solvability |
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