Journal of Jianghan University(Natural Science Edition) ›› 2016, Vol. 44 ›› Issue (5): 411-421.doi: 10.16389/j.cnki.cn42-1737/n.2016.05.006

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Positive Integral Solutions of a Class of Equation Involving Euler Function

GUO Rui，ZHAO Xiqing*   

  1. College of Mathematics and Computer Science，Yan′an University，Yan′an 716000，Shannxi，China
  • Online:2016-10-28 Published:2016-11-04
  • Contact: ZHAO Xiqing

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Abstract: Let φ(n) be Euler function，this paper studied the solvability of equation φ( xyz )=10( φ( x )+φ( y )+φ( z ) ) ，and 398 positive integer solutions are obtained with the elementary method.

Key words: Euler function, positive integer solutions, solvabilit

CLC Number: