Exponents of inhomogeneous Diophantine Approximation

Details Exponents of inhomogeneous Diophantine Approximation Exponents of inhomogeneous Diophantine Approximation

2004-06-03

arxiv.org/abs/math/0406065v1

Mathematics

Number Theory

18 pages

Scientific paper

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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