Lattice Points on the Homogeneous Cone 8(x^2+y^2 )-15xy=56z^2
Journal Title: Scholars Journal of Physics, Mathematics and Statistics - Year 2014, Vol 1, Issue 1
Abstract
The ternary quadratic equation 8(x^2+y^2 )-15xy=56z^2 representing a cone is analysed for its non-zero distinct integer points on it. Employing the integer solutions, a few interesting relations between the solutions and special polygonal numbers are presented. Also, knowing an integer solution, formulas for generating sequence of solutions are given.
Authors and Affiliations
J. Shanthi, M. A. Gopalan, S. Vidhyalakshmi
Keywords
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