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

Authors

  • M.A Gopalan Professor, Department of Mathematics, SIGC, Trichy, Tamilnadu, India
  • S Vidhyalakshmi Professor, Department of Mathematics, SIGC, Trichy, Tamilnadu, India
  • N Thiruniraiselvi Research Scholar, Department of Mathematics, SIGC, Trichy, Tamilnadu, India

DOI:

https://doi.org/10.18488/journal.79/2014.1.2/79.2.93.101

Keywords:

Homogeneous cubic, Cubic equation with four unknowns, Integral solutions, Cubic Diophantine equation, Third degree equation, Special numbers

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.

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Published

2014-12-15

Issue

Vol. 1 No. 2 (2014)

Section

Articles

How to Cite

On Homogeneous Cubic Equation with Fourunknowns x3+y3= 2lzw2. (2014). Review of Information Engineering and Applications, 1(2), 93-101. https://doi.org/10.18488/journal.79/2014.1.2/79.2.93.101