Ruofan Li

activity

20232026

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3 papers · 1 filter

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…

Dimension drop for intersections of Cantor sets

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

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

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