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Vol. 1, Issue 3, Part B (2015)
Integral solutions of the heptic equation with five unknowns x3-y3+2(z3-w3)=3(z-w)+6(k2+2s2)T7
Integral solutions of the heptic equation with five unknowns x3-y3+2(z3-w3)=3(z-w)+6(k2+2s2)T7
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Abstract
The non-homogeneous Diophantine equation of degree seven with five unknowns represented by x3-y3+2(z3-w3)=3(z-w)+6(k2+2s2)T7 is analyzed for its non-zero distinct integer solutions. A few interesting relation between the solutions and special numbers namely Polygonal numbers, Pyramidal numbers, centered Polygonal numbers are exhibited.
The non-homogeneous Diophantine equation of degree seven with five unknowns represented by x3-y3+2(z3-w3)=3(z-w)+6(k2+2s2)T7 is analyzed for its non-zero distinct integer solutions. A few interesting relation between the solutions and special numbers namely Polygonal numbers, Pyramidal numbers, centered Polygonal numbers are exhibited.
Pages: 82-85 | 1260 Views 70 Downloads
How to cite this article:
S. Vidhyalakshmi, A. Kavitha, M. A. Gopalan. Integral solutions of the heptic equation with five unknowns x3-y3+2(z3-w3)=3(z-w)+6(k2+2s2)T7. Int J Appl Res 2015;1(3):82-85.
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