Article citationsMore>>

Zhang, S. (2013) Solutions to Diophantine Equation
φ(xyz) = 4(φ(x) + φ(y) + φ(z). Journal of Northeast Petroleum University, 37, 113-118.
https://doi.org/10.3969/j.issn.2095-4107.2013.06.016

has been cited by the following article:

• TITLE: The Odd Solutions of Equations Involving Euler-Like Function

  AUTHORS: Jiaxin Wu, Zhongyan Shen

  KEYWORDS: Euler-Like Function, Diophantine Equation, Odd Solutions

  JOURNAL NAME: Advances in Pure Mathematics, Vol.11 No.5, May 25, 2021

  ABSTRACT: φe(n) is a function similar to Euler function φ(n). We discussed and obtained all the odd solutions of the equations φe(xy) = φe(x) + 2φe(y), φe(xy)= 2φe(x)+3φe(y)and φe(xyz)= φe(x)+ φe(y) + φe(z) by using the methods and techniques of elementary number theory.