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On Homogeneous Cubic Equation with Fourunknowns x3+y3= 2lzw2

Gopalan M.a, S Vidhyalakshmi and N Thiruniraiselvi

Review of Information Engineering and Applications, 2014, vol. 1, issue 2, 93-101

Abstract: The homogeneous cubic equation with four unknowns represented by the Diophantine equation x3+y3= 2lzw2 is analyzed for its patterns of non – zero distinct integer solutions. A few interesting properties between the solutions and special numbers, namely, Polygonal number, Pyramidal number, Centered polygonal number, Stella octangular number and Octahedral number are presented.

Keywords: Homogeneous cubic; Cubic equation with four unknowns; Integral solutions; Cubic Diophantine equation; Third degree equation; Special numbers (search for similar items in EconPapers)
Date: 2014
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