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International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
www.ijsr.net | Open Access | Fully Refereed | Peer Reviewed International Journal

ISSN: 2319-7064

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Lattice Points on the Cone X^2+9Y^2=50Z^2

P. Jayakumar, K. Sangeetha

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.

Keywords: Diophantine equation, Ternary quadratic, integral solutions, special numbers, a few interesting Relation



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