Article citationsMore>>

Zhang, M. and Gao, L. (2018) The Positive Integer Solutions of Euler Function φ(mn) = 2²×3(φ(m) + φ(n)). Journal of Yanan University (Natural Science Edition), 37, 5-9.
https://doi.org/10.13876/j.cnki.ydnse.2018.02.005

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.