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Scholars Journal of Engineering and Technology | Volume-2 | Issue-02
On The Ternary Quadratic Diophantine Equation 6(x2+y2)-8xy=21z2
M.A. Gopalan, S. Vidhyalakshmi, J. Umarani
Published: Feb. 20, 2014 | 127 92
DOI: 10.36347/sjet
Pages: 108-112
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Abstract
The ternary quadratic equation 6(x2  y2 ) 8xy  21z2 representing a homogeneous cone is analyzed for its non-zero distinct integral points. A few interesting properties among the solutions and special numbers namely, Polygonal numbers, Centered polygonal numbers, Pyramidal numbers, Gnomonic numbers are presented.