A Upper Bound for the Number of Solutions of Ternary Purely Exponential Diophantine Equations

Yongzhong Hu, Maohua Le

Let $a,b,c$ be fixed coprime positive integers with $\min \{a,b,c\}>1$. In this paper, combining the Gel'fond-Baker method with an elementary approach, we prove that if $\max\{a,b,c…