Inhomogeneous approximation with coprime integers and lattice orbits

2011/10/25 by Laurent, Michel, Nogueira, Arnaldo
#11J20 #37A17 #Dynamical Systems (math.DS) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1110.5467

Abstract

We obtain variants of the classical Minkowski Theorem on inhomogeneous approximation where we require moreover that the solutions p, q be coprime integers. We link the subject with density exponents of lattice orbits in the real plane.

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