Jiuzhou Zhao

activity

20242026

collaborators

3 papers

math.NT2026

Non-Wieferich property of prime ideals and a conjecture of Erdös

Ruofan Li, Jiuzhou Zhao

Let $K$ be a number field with ring of integers $O$ and $α \in O$ . For any prime ideal $p$ of $O$ , we obtain its higher $α$ -Wieferich propert…

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 $α \in O_{K}$ with $∣ α ∣ > 1$ , define \[ \mathcal{D}_α= \bigcup_…

math.NT2024

On $β$ -adic expansions of powers of algebraic integer omitting a digit

Jiuzhou Zhao, Ruofan Li

Let $α, β$ be two relatively prime algebraic integers in a number field $K$ and $N$ be a positive integer. We show that the number of $n \in {1, 2, \dots, N}$ such that the $β$ -adic e…

Non-Wieferich property of prime ideals and a conjecture of Erdös

Rational points in Cantor sets in the complex plane

On β-adic expansions of powers of algebraic integer omitting a digit

On $β$ -adic expansions of powers of algebraic integer omitting a digit