Ruofan Li

activity

20232026

collaborators

6 papers

math.CA2026

Dimension drop for intersections of Cantor sets

Lai Jiang, Bing Li, Ruofan Li +1

Let $E \subset R$ be a self-similar set generated by a homogeneous iterated function system $Φ$ with contraction ratio $ρ \in (0, 1)$ . Assume that $Φ$ satisfies the open set…

math.NT2026

Linear recurrence sequences and palindromic concatenations of two repdigits in base $β$

Ruofan Li

Let $β$ be a non-unit real algebraic integer greater than one and ${a_{n}}_{n \geq 0}$ be a sequence satisfying a linear recurrence relation $a_{n + 3} = a a_{n + 2} + b a_{n + 1} + c a_{n}$ . U…

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.NT2024

Multiplicative Diophantine approximation with restricted denominators

Bing Li, Ruofan Li, Yufeng Wu

Let ${a_{n}}_{n \in N}$ , ${b_{n}}_{n \in N}$ be two infinite subsets of positive integers and $ψ : N \to R_{> 0}$ be a positive function. We completely…

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…

math.NT2023

Zero-full law for well approximable sets in missing digit sets