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.