Inhomogeneous approximation with coprime integers and lattice orbits

Details Inhomogeneous approximation with coprime integers and lattice orbits Inhomogeneous approximation with coprime integers and lattice orbits

2011-10-25

arxiv.org/abs/1110.5467v1

Mathematics

Number Theory

Scientific paper

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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