A note on the polynomial-exponential Diophantine equation (a^n − 1)(b^n − 1) = x^2
A note on the polynomial-exponential Diophantine equation (a^n − 1)(b^n − 1) = x^2
For any positive integer t, let ord_2 t denote the order of 2 in the factorization of t. Let a,\,b be two distinct fixed positive integers with \min\{a,b\}>1. In this paper, using some elementary number theory methods, the existence of positive integer solutions (x,n) of the polynomial-exponential Diophantine equation (*) …