Ruofan Li

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20232026

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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…

Multiplicative Diophantine approximation with restricted denominators

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

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