Vol. 3, Issue 3 (2018)
On the ternary quadratic Diophantine equation 6(X2 + Y2)-11XY + 2(X + Y) + 4 = 27Z2
Author(s): S Vidhyalakshmi, MA Gopalan, S Thenmozhi
Abstract: The ternary quadratic equation given by 6(X2 + Y2)-11XY + 2(X + Y) + 4 = 27Z2 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.
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