A uniform version of Jarńık ’ s theorem

  title={A uniform version of Jarńık ’ s theorem},
  author={Alain Plagne Talence and Alain Plagne},
Later on in [2], Grekos refined the previous results, in some cases, by introducing the infimum of the radii of curvature r(Γ ) of the curve. He succeeded in showing an upper bound of the shape N(Γ ) l(Γ )r(Γ )−1/3 and conversely constructed a family of curves Γ0 with N(Γ0) l(Γ0)r(Γ0)−1/3. Naturally, Grekos’ results suppose that the curve has at least C2… CONTINUE READING