Solutions of the Homogeneous Cubic Equation with Six Unknowns

M.A.Gopalan; S.Vidhyalakshmi; K.Lakshmi

doi:https://doi.org/10.14445/22315373/IJMTT-V4I10P4

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 4 | Issue 10 | Year 2013 | Article Id. IJMTT-V4I10P4 | DOI : https://doi.org/10.14445/22315373/IJMTT-V4I10P4

Solutions of the Homogeneous Cubic Equation with Six Unknowns

M.A.Gopalan , S.Vidhyalakshmi , K.Lakshmi

Abstract

The homogeneous cubic equation with six unknowns represented by the diophantine equation is analyzed for its patterns of non-zero distinct integral solutions and different methods of integral solutions are illustrated.

Keywords

Homogeneous cubic equations, integral solutions.

References

[1]. L.E. Dickson, History of Theory of numbers, vol.2, Chelsea Publishing company, New York,1952.
[2]. L.J. Mordell, Diophantine Equations, Academic press, London, 1969.
[3]. Carmichael.R.D, The Theory of numbers and Diophantine Analysis, New York, Dover,1959.
[4]. M.A.Gopalan and S.Premalatha , Integral solutions of 2 2 3 (x  y)(xy  w )  2(k 1)z , Bulletin of pure and applied sciences, Vol.28E (No.2), 197-202, 2009.
[5] M.A.Gopalan and V.pandiChelvi, Remarkable solutions on the cubic equation with four unknowns x  y  z  28(x  y  z)w ,

Citation :

M.A.Gopalan , S.Vidhyalakshmi , K.Lakshmi, "Solutions of the Homogeneous Cubic Equation with Six Unknowns," International Journal of Mathematics Trends and Technology (IJMTT), vol. 4, no. 10, pp. 216-225, 2013. Crossref, https://doi.org/10.14445/22315373/IJMTT-V4I10P4