6 papers · 1 filter
Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture
Bo Tan, Qing-Long Zhou
Let \(Q \subseteq \mathbb{N}\) be a subset, and let \(Ï\colon \mathbb{N} \to [0, \tfrac{1}{2})\), \(θ\colon \mathbb{N} \to \mathbb{R}\) be functions. Let \(\{A_q\}\) and \(\{B_q\…
Hausdorff measures of sets in Exact Diophantine approximation
Bo Tan, Chen Tian, Baowei Wang +1
Let be a compact metric space, and let be countable. Given functions and , we consider the set $E(…
Quantitative Matrix-Driven Diophantine approximation on -sets
Bo Tan, Qing-Long Zhou
Let be a set supporting a probability measure with Fourier decay for some constant Consider a…
Exact Diophantine approximation the simultaneous case in
Bo Tan, Qing-Long Zhou
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].
Non-Salem sets in multiplicative Diophantine approximation
Bo Tan, Qing-Long Zhou
In this paper, we answer a question of Cai-Hambrook in (arXiv 2403.19410). Furthermore, we compute the Fourier dimension of the multiplicative -well approximable set $$…
Quantitative Diophantine approximation and Fourier dimension of sets: Dirichlet non-improvable numbers versus well-approximable numbers
Bo Tan, Qing-Long Zhou
Let be a set that supports a probability measure with the property that for some constant Let $\mathcal{A}=(q_n)_{…