On Ternary Quadratic Diophantine Equation 8x2 + 8y2 -15xy = 40z2

Dr. P. Jayakumar, J. Meena

Abstract: Five different methods of the non-zero integral solutions of the ternary quadratic homogeneous Diophantine equation 8x2 + 8y2 15xy =40z2 are obtained. Some interesting relations among the special numbers and the solutions are exposed.

Keywords: Ternary Quadratic, homogenous cone, integer solutions, special numbers