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Lattice Points on the Homogeneous Cone 4(X2+Y2) ? 3XY =19Z2
Journal: International Journal of Science and Research (IJSR) (Vol.4, No. 1)Publication Date: 2015-01-05
Authors : P. Jayakumar; G. Shankarakalidoss;
Page : 2053-2055
Keywords : Ternary homogeneous quadratic; integral solutions; special number;
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Abstract
The ternary quadratic homogeneous equation given by 4 (X2 + Y2) 3XY = 19Z2 is analyzed for its non-zero distinct integer points. Six different patterns of integer points satisfying under consideration are obtained. A few interesting relation between the solutions and special number patterns namely Polygonal number, Pyramidal number and Nasty number are presented.
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Last modified: 2021-06-30 21:20:16