International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Open Access | Fully Refereed | Peer Reviewed

ISSN: 2319-7064




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Research Paper | Mathematics | India | Volume 4 Issue 1, January 2015


Lattice Points on the Homogeneous Cone 4(X2+Y2) ? 3XY =19Z2

Dr. P. Jayakumar, G. Shankarakalidoss


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


Edition: Volume 4 Issue 1, January 2015,


Pages: 2053 - 2055


How to Cite this Article?

Dr. P. Jayakumar, G. Shankarakalidoss, "Lattice Points on the Homogeneous Cone 4(X2+Y2) ? 3XY =19Z2", International Journal of Science and Research (IJSR), https://www.ijsr.net/get_abstract.php?paper_id=SUB15705, Volume 4 Issue 1, January 2015, 2053 - 2055

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