Integral Points On The Non - Homogeneous Cubic Equation With Five Unknowns x^3-y^3=z^3-w^3+12t^2
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- Year:
- 2014
- Type of Publication:
- Article
- Keywords:
- Homogeneous cubic, Cubic with five unknowns, Integral solutions, integral points, Special numbers
- Authors:
- Manju Somanath; V. Sangeetha; M. A. Gopalan
- Journal:
- IJISM
- Volume:
- 2
- Number:
- 6
- Pages:
- 576-577
- Month:
- Nov.-Dec.
- ISSN:
- 2347-–9
- Abstract:
- The cubic Diophantine equation with five unknowns represented by x^3-y^3=z^3-w^3+12t^2 is analyzed for finding its non-zero distinct integral solutions. Different patterns of solutions for the equation under consideration are presented. The relations between the integral solutions and special numbers namely Polygonal numbers, Pyramidal number, pronic number, Centered Pyramidal numbers are exhibited
Full text: 
IJISM-302_final.pdf [Bibtex]
IJISM-302_final.pdf [Bibtex]
