For a fixed positive square-free $\displaystyle D $, under what conditions is the representation $\displaystyle 8p = x^{2} + Dy^2 $ unique for $\displaystyle p $ prime, assuming that such a representation is possible?

Printable View

- Jul 12th 2008, 06:30 PMparticlejohnsquare free
For a fixed positive square-free $\displaystyle D $, under what conditions is the representation $\displaystyle 8p = x^{2} + Dy^2 $ unique for $\displaystyle p $ prime, assuming that such a representation is possible?