Baker方法的若干应用(Ⅳ)

Applications of the Baker Method (IV)

设D是大于1的奇数,p是与D互素的素数.本文运用Baker方法基本上解决了Diophantus方程x^2±D^m=p^n的可解性问题.

Let D be an odd integer with D>1, and let p be a prime with P×D, in this paper, we basically solve the solvability of the equation x^2±D^m = p^n by the Baker method.