Hausdorff and packing dimension of Diophantine sets
Number Theory
2019-04-19 v1
Abstract
Using the variational principle in parametric geometry of numbers, we compute the Hausdorff and packing dimension of Diophantine sets related to exponents of Diophantine approximation, and their intersections. In particular, we extend a result of Jarn\'ik and Besicovitch to intermediate exponents.
Keywords
Cite
@article{arxiv.1904.08416,
title = {Hausdorff and packing dimension of Diophantine sets},
author = {Antoine Marnat},
journal= {arXiv preprint arXiv:1904.08416},
year = {2019}
}
Comments
arXiv admin note: text overlap with arXiv:1510.06334