Wenxia Li

collaborators

3 papers

math.NT2025

Rational points in Cantor sets in the complex plane

Wenxia Li, Zhiqiang Wang, Jiuzhou Zhao

Let $K$ be an imaginary quadratic field and let $O_{K}$ be the ring of algebraic integers of $K$ . For $I^\pm \in O_{K}$ with $∣ I^\pm ∣ > 1$ , define \[ \mathcal{D}_Î±= \bigc…

math.CA2025

On the Eigen-Falconer theorem in $R^{d}$

Wenxia Li, Zhiqiang Wang, Jiayi Xu

In this paper, we study the analogous ErdÅs similarity conjecture in higher dimensions and generalize the Eigen-Falconer theorem. We show that if $A=\{\boldsymbol{x}_n\}_{n=1}^\in…

math.CA2025

On the intersection of Cantor set with the unit circle and some sequences

Kan Jiang, Derong Kong, Wenxia Li +1

For $I^» \in (0, 1/2)$ let $K_{I^} »$ be the self-similar set in $R$ generated by the iterated function system ${f_{0} (x) = I^» x, f_{1} (x) = I^» x + 1 - I^»}$ . In this paper, we investigate the…

Rational points in Cantor sets in the complex plane

On the Eigen-Falconer theorem in Rd

On the intersection of Cantor set with the unit circle and some sequences

On the Eigen-Falconer theorem in $R^{d}$