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Integral Points on the Cone x2 + 25y2 =17z2
Journal: International Journal of Science and Research (IJSR) (Vol.4, No. 1)Publication Date: 2015-01-05
Authors : P. Jayakumar; S. Prabha;
Page : 2050-2052
Keywords : Ternary Quadratic; homogenous cone; integer solutions;
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Find it from : Google Scholar
Abstract
The ternary quadratic homogeneous equation representing cone given by x2 + 25y2 = 17z2 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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