Lattice Points on the Homogeneous Cone 4(X2+Y2) ? 3XY =19Z2
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.
Keywords: Ternary homogeneous quadratic, integral solutions, special number
How to Cite?: Dr. P. Jayakumar, G. Shankarakalidoss, "Lattice Points on the Homogeneous Cone 4(X2+Y2) ? 3XY =19Z2", Volume 4 Issue 1, January 2015, International Journal of Science and Research (IJSR), Pages: 2053-2055, https://www.ijsr.net/getabstract.php?paperid=SUB15705, DOI: https://dx.doi.org/10.21275/SUB15705