Integral solutions of cubic diophantine equation x^3+y^3=16(k^2+3s^2 )zw^2 with four unknowns

Author: 
Anbuselvi R and Jamuna Rani S

The cubic Diophantine equation given by x^3+y^3=16(k^2+3s^2 )zw^2 is analyzed for its patterns of non-zero distinct integral solutions. A few interesting relations between the solutions and special polygonal numbers are exhibited.

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DOI: 
DOI: http://dx.doi.org/10.24327/ijcar.2017.7939.1256
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Volume6