Integer Points on the Homogeneous Cone 7x2-2y2=10z2
Journal Title: Scholars Journal of Engineering and Technology - Year 2014, Vol 2, Issue 4
Abstract
The ternary quadratic 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. Keywords: ternary quadratic, homogeneous cone, integer points Mathematics subject classification:11D09
Authors and Affiliations
Gopalan. M. A, Vidhyalakshmi . S, Geetha . T
Keywords
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