Inhomogeneous approximation by coprime integers

Alan Haynes

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arXiv · 1202.5986

Inhomogeneous approximation by coprime integers

Alan Haynes

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Abstract

This paper addresses a problem recently raised by Laurent and Nogueira about inhomogeneous Diophantine approximation with coprime integers. As a corollary of our main theorem we obtain an improvement of the best known exponent of approximation in this problem, from 1/2 to 1-epsilon, for any epsilon>0.

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Alan Haynes. 2012-02-27. Inhomogeneous approximation by coprime integers. https://arxiv.org/abs/1202.5986

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