On the Diophantine Equation x<sup>2</sup> � kxy + ky<sup>2</sup> + ly = 0, l = 2<sup>n</sup>
Abstract
Abstract We consider the Diophantine equation x 2 -kxy+ky 2 + ly = 0 for l = 2 n and determine for which values of the odd integer k, it has a positive integer solution x and y.