Bo Tan

collaborators

4 papers

math.NT2025

Quantitative Matrix-Driven Diophantine approximation on $M_{0}$ -sets

Bo Tan, Qing-Long Zhou

Let $E \subset [0, 1)^{d}$ be a set supporting a probability measure $μ$ with Fourier decay $∣ μ (t) ∣ ≪ (lo g ∣ t ∣)^{- s}$ for some constant $s > d + 1.$ Consider a se…

math.NT2024

Exact Diophantine approximation $:$ the simultaneous case in $R^{2}$

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].

math.NT2024

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 $ψ$ -well approximable set $$M…

math.NT2024

Quantitative Diophantine approximation and Fourier dimension of sets: Dirichlet non-improvable numbers versus well-approximable numbers

Bo Tan, Qing-Long Zhou

Let $E \subset [0, 1]$ be a set that supports a probability measure $μ$ with the property that $∣ μ (t) ∣ ≪ (lo g ∣ t ∣)^{- A}$ for some constant $A > 2.$ Let $\mathcal{A}=(q_n)_{n\…

Quantitative Matrix-Driven Diophantine approximation on M0​-sets

Exact Diophantine approximation: the simultaneous case in R2

Non-Salem sets in multiplicative Diophantine approximation

Quantitative Diophantine approximation and Fourier dimension of sets: Dirichlet non-improvable numbers versus well-approximable numbers

Quantitative Matrix-Driven Diophantine approximation on $M_{0}$ -sets

Exact Diophantine approximation $:$ the simultaneous case in $R^{2}$