Inhomogeneous approximation by coprime integers

Details Inhomogeneous approximation by coprime integers Inhomogeneous approximation by coprime integers

2012-02-27

arxiv.org/abs/1202.5986v1

Mathematics

Number Theory

12 pages

Scientific paper

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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