On the Integral Points of the Bi-Quadratic Equation with Four Unknowns (x-y)(x^2+y^2 )+(x^2-xy+y^2 )z=12zw^3

Journal Title: Scholars Journal of Physics, Mathematics and Statistics - Year 2014, Vol 1, Issue 2

Abstract

The Bi-quadratic Equation with four unknowns given by (x-y)(x^2+y^2 )+(x^2-xy+y^2 )z=12zw^3 is analyzed for its patterns of non –zero distinct integral solutions. A few interesting relations between the solutions and special polygonal numbers are exhibited.

Authors and Affiliations

S. Vidhyalakshmi, A. Kavitha, M. A. Gopalan

Keywords

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  • EP ID EP383394
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How To Cite

S. Vidhyalakshmi, A. Kavitha, M. A. Gopalan (2014). On the Integral Points of the Bi-Quadratic Equation with Four Unknowns (x-y)(x^2+y^2 )+(x^2-xy+y^2 )z=12zw^3. Scholars Journal of Physics, Mathematics and Statistics, 1(2), 45-47. https://europub.co.uk/articles/-A-383394