Let be a open curve on R^2 so [tex] x^{n}-c-ky=0 [/tex] where k,n and c are integers, are there any methods to calculate or at least know if the curve above will have integer roots (a,b) so a^{n}-c-kb=0 ?? or perhaps to calculate the number of solutions as a sum (involving floor function) over integers of expressions like(adsbygoogle = window.adsbygoogle || []).push({});

[tex] [(x^{n}-c)k^{-1}] [/tex]

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# Integer roots of curves.

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