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

Bo Tan; Qing-Long Zhou

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arXiv · 2411.18439

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

Bo Tan·Qing-Long Zhou

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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].

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Bo Tan, Qing-Long Zhou. 2024-11-27. Exact Diophantine approximation$\colon$ the simultaneous case in $\mathbb{R}^{2}$. https://arxiv.org/abs/2411.18439

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