Exponents of inhomogeneous Diophantine Approximation
数论
2007-05-23 v1
摘要
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.
引用
@article{arxiv.math/0406065,
title = {Exponents of inhomogeneous Diophantine Approximation},
author = {Yann Bugeaud and Michel Laurent},
journal= {arXiv preprint arXiv:math/0406065},
year = {2007}
}
备注
18 pages