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Scholars Journal of Engineering and Technology | Volume-2 | Issue-04
Integer Points on the Homogeneous Cone 7x2-2y2=10z2
Gopalan. M.A, Vidhyalakshmi . S, Geetha .T
Published: April 30, 2014 | 133 144
DOI: 10.36347/sjet
Pages: 645-649
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Abstract
The ternary quadratic 7x2  2y2 10z2 representing a homogeneous cone is analysed for its non-zero distinct integral points. A few interesting properties among the solutions and polygonal numbers are presented. Given an integrer solution, six different triples of integers generating infinitely many integer solutions are exhibited.