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May 10, 2016 at 8:52 comment added Siminore Another thing I suspect is that the constant $C$ in the upper bound $q_k \leq C \varepsilon_k^{-1}$ has a role. There seem to be (partial) results with a small $C$.
May 9, 2016 at 19:15 comment added Siminore It is very interesting. I suspected that this could be true only for most irrationals. However I am unable to make a reasonable guess.
May 9, 2016 at 17:33 history answered Robert Israel CC BY-SA 3.0