A Survey on the ternary purely exponential diophantine equation ax + by = cz

Let a, b, c be fixed coprime positive integers with min(a,b,c)>1. In this survey, we consider some unsolved problems and related works concerning the positive integer solutions (x,y,z) of the ternary purely exponential diophantine equation ax + by = cz.

Bibliographic Details
Main Authors: Maohua Le, Reese Scott, Robert Styer
Format: Article
Language:English
Published: University Constantin Brancusi of Targu-Jiu 2019-04-01
Series:Surveys in Mathematics and its Applications
Subjects:
Online Access:http://www.utgjiu.ro/math/sma/v14/p14_05.pdf