Qinglong Zhou

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20242026

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math.NT2025

Twisted Diophantine approximation for matrix transformations of tori

Sam Chow, Qing-Long Zhou

Consider a sequence of integral matrices $A = (A_{n})_{n \in N}$ , and a $d$ -tuple function $r = (r_{1}, \dots, r_{d}) : N \to (0, \frac{1}{2})$ . For a fixed vector ${\bm α},…

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…

Twisted Diophantine approximation for matrix transformations of tori

Quantitative Matrix-Driven Diophantine approximation on M0​-sets

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