Year: 2025
Type: article
Abstract: In this paper, we establish a non-existence condition for solutions of the Diophantine equation a^x+b^y=z^2. Moreover, we provide a short proof of some Diophantine theorems of Pakapongpun and Chattae \cite{PC} using our result
Authors: Pinya Ardsalee, Chaowat Manyuen
Institutions: Mahasarakham University, Rajabhat Maha Sarakham University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
Funder: Mahasarakham University
OpenAlex ID: W4410845808