Bo Tan

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20242026

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4 papers · 1 filter

math.NT2026

Metric Poissonian Pair Correlation Property Part 1: The Case $n+\log n$

Bo Tan, Zhen Zhang, Qing-Long Zhou

We prove that $(α (n + lo g n))_{n \geq 1}$ has Poissonian pair correlation for Lebesgue almost every real $α$ . This solves a Problem posed by Aistleitner, El-Baz and Munsch [Open Proble…

math.NT2026

Metric Poissonian Pair Correlation Property Part 2: The Case $n\log n$

Bo Tan, Zhen Zhang, Qing-Long Zhou

We prove that $(α n lo g n)_{n \geq 1}$ has Poissonian pair correlation for almost every real $α$ , solving a Problem posed by Aistleitner, El-Baz and Munsch [Open Problem 3, Geom. Funct…

math.NT2026

Poissonian Pair Correlation for Bernoulli Orbits

Bo Tan, Zhen Zhang, Qing-Long Zhou

Let $α, β\in \mathbb{T} = \mathbb{R}/\mathbb{Z}$, and let $(ξ_n)_{n \ge 1}$ be independent random variables taking the values $α$ and $β$ with equal probability. We study t…

math.NT2026

Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture

Bo Tan, Qing-Long Zhou

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

Metric Poissonian Pair Correlation Property Part 1: The Case \(n+\log n\)

Metric Poissonian Pair Correlation Property Part 2: The Case \(n\log n\)

Poissonian Pair Correlation for Bernoulli Orbits

Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture