Ruofan Li

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20242026

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math.NT2026

Linear recurrence sequences and palindromic concatenations of two repdigits in base $I^^{2}$

Ruofan Li

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

math.NT2026

Non-Wieferich property of prime ideals and a conjecture of ErdÃ¶s

Ruofan Li, Jiuzhou Zhao

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

math.NT2025

On $I^^{2}$ -adic expansions of powers of algebraic integer omitting a digit

Jiuzhou Zhao, Ruofan Li

Let $I^\pm, I^^{2}$ 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 $I^^{2}$ -adi…

math.NT2024

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

Bing Li, Ruofan Li, Yufeng Wu

Let $b \geq 3$ be an integer and $C (b, D)$ be the set of real numbers in $[0, 1]$ whose base $b$ expansion only consists of digits in a set $D \subseteq {0, ..., b - 1}$ . We study how…

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 $I ¨ : N \to R_{> 0}$ be a positive function. We completel…

Linear recurrence sequences and palindromic concatenations of two repdigits in base I^2

Non-Wieferich property of prime ideals and a conjecture of ErdÃ¶s

On I^2-adic expansions of powers of algebraic integer omitting a digit

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

Multiplicative Diophantine approximation with restricted denominators

Linear recurrence sequences and palindromic concatenations of two repdigits in base $I^^{2}$

On $I^^{2}$ -adic expansions of powers of algebraic integer omitting a digit