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Exponents of inhomogeneous Diophantine Approximation

Yann Bugeaud·Michel Laurent
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Abstract

In Diophantine approximation, inhomogeneous problems are linked with homogeneous ones by means of the so-called Transference Theorems. We revisit this classical topic by introducing new exponents of Diophantine approximation. We prove that the exponent of approximation to a generic point in R^n by a system of n linear forms is equal to the inverse of the uniform homogeneous exponent associated to the system of dual forms.

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Yann Bugeaud, Michel Laurent. 2004-06-03. Exponents of inhomogeneous Diophantine Approximation. https://arxiv.org/abs/math/0406065

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