On the Cubic Diophantine Equation with Five Unknowns x3 + y3 + (x+y)(x-y)2=32(z+w)p2

R.Anbuselvi; N.Ahila

doi:https://doi.org/10.14445/22315373/IJMTT-V58P531

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 58 | Number 4 | Year 2018 | Article Id. IJMTT-V58P531 | DOI : https://doi.org/10.14445/22315373/IJMTT-V58P531

On the Cubic Diophantine Equation with Five Unknowns x3 + y3 + (x+y)(x-y)2=32(z+w)p2

R.Anbuselvi, N.Ahila

Abstract

The cubic Diophantine equation with five unknowns represented by x3 + y3 + (x+y)(x-y)2=32(z+w)p2 is analyzed for its patterns of non-zero distinct integral solutions. A few interesting relations between the solutions and special polygonal numbers are exhibited.

Keywords

Cubic Equation, Integral Solutions, Special Polygonal Numbers, Pyramidal Numbers

References

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Citation :

R.Anbuselvi, N.Ahila, "On the Cubic Diophantine Equation with Five Unknowns x3 + y3 + (x+y)(x-y)2=32(z+w)p2," International Journal of Mathematics Trends and Technology (IJMTT), vol. 58, no. 4, pp. 221-225, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V58P531