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Inhomogeneous approximation by coprime integers

2012/02/27 by Alan Haynes, Haynes, Alan
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Algebraic Geometry and Number Theory #FOS: Mathematics #Mathematical Dynamics and Fractals #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1202.5986

openalex publication_date 2012/02/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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