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Lattice Points on the Cone X^2+9Y^2=50Z^2
Journal: International Journal of Science and Research (IJSR) (Vol.3, No. 12)Publication Date: 2014-12-05
Authors : P. Jayakumar; K. Sangeetha;
Page : 20-22
Keywords : Diophantine equation; Ternary quadratic; integral solutions; special numbers; a few interesting Relation;
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Abstract
The ternary quadratic homogeneous equation representing cone given by x^2+9y^2=50z^2 is analyzed for its non- zero distinct integer points on it. Five different patterns of integer points satisfying the cone under consideration are obtained. A few interesting relation between the solutions and special number patterns are presented.
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