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Y. Zhao
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Y. Zhao
  • 3.3k
  • 21
  • 29

Integral points on affine rational curves over $\mathbb{Q}$

Given a rational curve $C:(f_1(t),f_2(t))$, where $f_i(t),i=1,2$ are rational functions with rational coefficients.

Question: Is there any criterion(proved or conjectural) for the existence of integral points on such a curve?