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Research Paper | Mathematics | India | Volume 3 Issue 12, December 2014 | Popularity: 6.1 / 10

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

Edition: Volume 3 Issue 12, December 2014

Pages: 20 - 22

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P. Jayakumar, K. Sangeetha, "Lattice Points on the Cone X^2+9Y^2=50Z^2", International Journal of Science and Research (IJSR), Volume 3 Issue 12, December 2014, pp. 20-22, URL: https://www.ijsr.net/getabstract.php?paperid=SUB14123, DOI: https://www.doi.org/10.21275/SUB14123