Bo Tan

activity

20242026

collaborators

4 papers

math.NT2026

Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture

Bo Tan, Qing-Long Zhou

Let $Q \subseteq \mathbb{N}$ be a subset, and let $Ï\colon \mathbb{N} \to [0, \tfrac{1}{2})$, $Î¸\colon \mathbb{N} \to \mathbb{R}$ be functions. Let $\{A_q\}$ and \(\{B_q\…

math.NT2026

Hausdorff measures of sets in Exact Diophantine approximation

Bo Tan, Chen Tian, Baowei Wang +1

Let $(X, d)$ be a compact metric space, and let $Q \subset X$ be countable. Given functions $R : Q \to R^{+}$ and $I ¨ : R^{+} \to R^{+}$ , we consider the set $E(…

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 $I^¼$ with Fourier decay $∣ I^¼ (t) ∣ ≪ (lo g ∣ t ∣)^{- s}$ for some constant $s > d + 1.$ Consider a…

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].

Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture

Hausdorff measures of sets in Exact Diophantine approximation

Quantitative Matrix-Driven Diophantine approximation on M0​-sets

Exact Diophantine approximation: the simultaneous case in R2

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

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