On inhomogeneous Diophantine approximation and Hausdorff dimension

Details On inhomogeneous Diophantine approximation and Hausdorff dimension On inhomogeneous Diophantine approximation and Hausdorff dimension

2011-03-22

arxiv.org/abs/1103.4244v1

Mathematics

Number Theory

Scientific paper

Let $\Gamma = Z A +Z^n$ be a dense subgroup with rank $n+1$ in $R^n$ and let
$\omega(A)$ denote the exponent of uniform simultaneous rational approximation
to the point $A$. We show that for any real number $v\ge \omega(A)$, the
Hausdorff dimension of the set $B_v$ of points in $R^n$ which are
$v$-approximable with respect to $\Gamma$, is equal to $1/v$.

Affiliated with

Also associated with

No associations

Rating

On inhomogeneous Diophantine approximation and Hausdorff dimension does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On inhomogeneous Diophantine approximation and Hausdorff dimension, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On inhomogeneous Diophantine approximation and Hausdorff dimension will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-48520