On the Exponential Diophantine Equation $(a^n-1)(b^n-1)=x^2$

Armand Noubissie, Alain Togbe, Zhongfeng Zhang

Let $a$ and $b$ be two distinct fixed positive integers such that $\min \{a,b\}>1.$ First, we correct an oversight from \cite{X-Z}. Then, we show that the equation in the title wit…