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

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

Published

2014-12-15

How to Cite

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

Issue

Vol. 1 No. 2 (2014)

Section

Articles