Diophantine approximation on the parabola with non-monotonic approximation functions

15 Dec 2018 Huang Jing-Jing

We show that the parabola is of strong Khintchine type for convergence, which is the first result of its kind for curves. Moreover, Jarnik type theorems are established in both the simultaneous and the dual settings, without monotonicity on the approximation function... (read more)

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