Observation on the Ternary Quadratic Diophantine Equation X2= 22k+1 (3z2 - Y2)

G. Sangeetha, B. Rena Caroline, C. Shirley Shalini
2016 Indian Journal of Science and Technology  
Objectives: Finding the integral solutions of ternary quadratic equation and the relation between parameters/solutions. The ternary quadratic Diophantine equation is studied for it's non-trivial distinct integral solutions. Findings: Employing the integral solutions of the equation under consideration infinitely many Pythagorean triangles are obtained where each of which satisfies the relation "Hypotenuse-4(area/Perimeter) is a Nasty number".
doi:10.17485/ijst/2016/v9i1/85775 fatcat:s4abvlqitjcpjbkrvwaq7tsn3y