Lattice Points on the Cone X^2+9Y^2=50Z^2
International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Call for Papers | Fully Refereed | Open Access | Double Blind Peer Reviewed

ISSN: 2319-7064


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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, https://www.ijsr.net/getabstract.php?paperid=SUB14123, DOI: https://www.doi.org/10.21275/SUB14123

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