On the ternary quadratic diophantine equation 4(x2 + y2) - 7xy = 76z2
MA Gopalan, S Vidhyalakshmi, Presenna Ramanand
The ternary quadratic equation given by 4(x2 + y2) - 7xy = 76z2 is considered and searched for its many different integer solutions. Four different choices of integer solutions to the above equation are presented. A few interesting relations between the solutions and special polygonal numbers are presented.