华东师范大学学报(自然科学版) ›› 2011, Vol. 2011 ›› Issue (3): 68-72.

• 应用数学与基础数学 • 上一篇    下一篇

关于Smarandache方程的可解性

赵教练   

  1. 渭南师范学院 数学与信息科学系, 陕西 渭南 714000
  • 收稿日期:2010-10-01 修回日期:2011-01-01 出版日期:2011-05-25 发布日期:2011-05-25
  • 通讯作者: 赵教练

Solvability of equations involving Smarandache function

ZHAO Jiao-lian   

  1. Department of Mathematics and Informatics, Weinan Teacher's College Weinan Shaanxi 714000, China
  • Received:2010-10-01 Revised:2011-01-01 Online:2011-05-25 Published:2011-05-25
  • Contact: ZHAO Jiao-lian

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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.

关键词: Smarandache函数, Euler函数, 可解性, Smarandache函数, Euler函数, 可解性

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.

Key words: Euler's totient function, solvability, Smarandache function, Euler's totient function, solvability

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