Gaussian Integer Solutions of an Infinite Elliptic Cone 5X^2+5Y^2+9Z^2+46XY-34YZ-22XZ=0
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 6 Issue 5, May 2017 | Popularity: 6.3 / 10


     

Gaussian Integer Solutions of an Infinite Elliptic Cone 5X^2+5Y^2+9Z^2+46XY-34YZ-22XZ=0

Manju Somanath, J. Kannan, K. Raja


Abstract: The ternary quadratic Diophantine equation representing infinite elliptic cone given by is analyzed for its non- zero distinct solutions in. Few different patterns of integer points satisfying the cone under consideration are obtained. Also knowing an integer solution satisfying the given cone a few triples of integers generated from the given solution are exhibited.


Keywords: Diophantine equation, Ternary quadratic equation, Gaussian integer solution, Infinite elliptic Cone


Edition: Volume 6 Issue 5, May 2017


Pages: 296 - 299



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Manju Somanath, J. Kannan, K. Raja, "Gaussian Integer Solutions of an Infinite Elliptic Cone 5X^2+5Y^2+9Z^2+46XY-34YZ-22XZ=0", International Journal of Science and Research (IJSR), Volume 6 Issue 5, May 2017, pp. 296-299, https://www.ijsr.net/getabstract.php?paperid=ART20173143, DOI: https://www.doi.org/10.21275/ART20173143

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