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Gaussian Integer Solutions of an Infinite Elliptic Cone 5X^2+5Y^2+9Z^2+46XY-34YZ-22XZ=0
Journal: International Journal of Science and Research (IJSR) (Vol.6, No. 5)Publication Date: 2017-05-05
Authors : Manju Somanath; J. Kannan; K. Raja;
Page : 296-299
Keywords : Diophantine equation; Ternary quadratic equation; Gaussian integer solution; Infinite elliptic Cone;
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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.
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