关于广义Ramanujan-Nagell方程x^2-D=2~n

On the generalized Ramanujan-Nagell equation x^2-D=2~n

借助于丢番图逼近中Beukers的一些深刻结果,讨论了广义Ramanujan-Nagell方程x2-D=2n在D=2r+1时的一个非例外情况,求出了此时该方程的全部非负整数解.

The generalized RamanujanNagell equation x2-D=2n was studied,and the nonnegative number solutions are given when D=1+2s.