Integer Solutions of Non-Homogeneous Ternary Cubic Equation x2+y2-xy=103z2

Dr. P. Jayakumar, J. Meena

Abstract: The non- homogeneous ternary cubic equation given by is analysed for its non-zero distinct integer solutions. Introducing the linear transformations x = u + v, y = u - v (u v 0) and applying the methods of factorization, different patterns of integer solutions of the above equations are obtained.

Keywords: ternary cubic, non-homogeneous cubic, integer solutions