English

Exact Diophantine approximation$\colon$ the simultaneous case in $\mathbb{R}^{2}$

Number Theory 2024-11-28 v1

Abstract

We fill a gap in the study of the Hausdorff dimension of the set of exact approximation order considered by Fregoli [Proc. Amer. Math. Soc. 152 (2024), no. 8, 3177--3182].

Keywords

Cite

@article{arxiv.2411.18439,
  title  = {Exact Diophantine approximation$\colon$ the simultaneous case in $\mathbb{R}^{2}$},
  author = {Bo Tan and Qing-Long Zhou},
  journal= {arXiv preprint arXiv:2411.18439},
  year   = {2024}
}
R2 v1 2026-06-28T20:14:44.141Z