Thai Journal of Mathematics, Volume 22, Issue 1, Pages 227-237 , 01/03/2024
On Cubic Exponential Diophantine Equations ±3x ± ay = z3
Abstract
We investigate the integer solutions of the cubic exponential Diophantine equations in the form ±3<sup>x</sup> ± a<sup>y</sup> = z<sup>3</sup> using elementary techniques. In particular, we also prove that there are infinitely many cubic exponential Diophantine equations in that form that have no integer solutions.
Document Type
Article
Source Type
Journal
Keywords
Catalan’s conjecturecubic diophantine equationsexponential diophantine equations
ASJC Subject Area
Mathematics : Mathematics (all)
Funding Agency
National Research Council of Thailand