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math.NT2013★ 9 cited
A Jarník type theorem for planar curves: everything about the parabola
Mumtaz Hussain
The well known theorems of Khintchine and Jarník in metric Diophantine approximation provide comprehensive description of the measure theoretic properties of real numbers approxima…
math.NT2013
A converse to linear independence criteria, valid almost everywhere
Stéphane Fischler, Mumtaz Hussain, Simon Kristensen +1
We prove a weighted analogue of the Khintchine-Groshev Theorem, where the distance to the nearest integer is replaced by the absolute value. This is subsequently applied to proving…