On the equation \(\varphi(| x^m+y^m|)=| x^n+ y^n|\)
type: Item
instance of: scholarly article
title: On the equation \(\varphi(| x^m+y^m|)=| x^n+ y^n|\)
zbMATH Open document ID: 0923.11056
author: Florian Luca
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1999-06-20T00:00:00Z
review text: For any positive integer \(k\), let \(\varphi(k)\) be the Euler totient function of \(k\). All nontrivial integer solutions \((x,y,m,n)\) of the diophantine equation \(\varphi(| x^m+y^m|)=| x^n+y^n|\) are found.
Mathematics Subject Classification ID: 11D61
Mathematics Subject Classification ID: 11B39
Mathematics Subject Classification ID: 11A25
zbMATH DE Number: 1275963
zbMATH Keywords: Lucas sequence
zbMATH Keywords: Euler totient function
zbMATH Keywords: exponential diophantine equation
reviewed by: Edward L. Cohen
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1275963