Gaussian Integer Solutions of an Infinite Elliptic Cone 5X^2+5Y^2+9Z^2+46XY-34YZ-22XZ=0

Manju Somanath, J. Kannan, K. Raja

Abstract: The ternary quadratic Diophantine equation representing infinite elliptic cone given by is analyzed for its non- zero distinct solutions in. Few different patterns of integer points satisfying the cone under consideration are obtained. Also knowing an integer solution satisfying the given cone a few triples of integers generated from the given solution are exhibited.

Keywords: Diophantine equation, Ternary quadratic equation, Gaussian integer solution, Infinite elliptic Cone