On the Cublic Equation with Four Unknowns

M.A.Gopalan; S.Vidhyalaksmi; J.Shanthi

doi:https://doi.org/10.14445/22315373/IJMTT-V20P510

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 20 | Number 1 | Year 2015 | Article Id. IJMTT-V20P510 | DOI : https://doi.org/10.14445/22315373/IJMTT-V20P510

On the Cublic Equation with Four Unknowns

M.A.Gopalan, S.Vidhyalaksmi, J.Shanthi

Citation :

M.A.Gopalan, S.Vidhyalaksmi, J.Shanthi, "On the Cublic Equation with Four Unknowns," International Journal of Mathematics Trends and Technology (IJMTT), vol. 20, no. 1, pp. 75-84, 2015. Crossref, https://doi.org/10.14445/22315373/IJMTT-V20P510

Abstract

The sequences of integral solutions to the cubic equation with four variables are obtained. A few properties among the solutions are also presented.

Keywords

Cubic equation having four unknowns with integral solutions.

References

[1] Dickson, L.E.,” History of the theory numbers”, Vol.2: Diophantine Analysis, New York:Dover, 2005
[2] Carmichael,R.D., “The theory of numbers and Diophantine Analysis”, New York: Dover, 1959
[3] Gopalan. M.A, Manju Somanath and Vanitha,N., “On Ternary Cubic Diophantine Equation 2 2 3 x y 2z “,Advances in Theoretical and Applied Mathematics Vol.1,No.3 Pp.227-231, 2006
[4] Gopalan. M.A, Manju Somanath and Vanitha,N., “On Ternary Cubic Diophantine Equation 2 2 3 X Y z “, Acta Ciencia Indica, Vol,XXXIIIM, No.3. Pp.705-707, 2007
[5] Gopalan, M.A., and Anbuselvi,R., “Integral solution of ternary cubic Diophantine equation x y 4N zxy 2 2 ”, Pure and Applied Mathematics Sciences, Vol.LXVII, No. 1-2, March Pp.107-111, 2008