Taehyeong Kim

activity

20202026

most citedOn a Kurzweil type theorem via ubiquity

1 citations · 2 across the 10 of their papers we have counts for

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5 papers · 1 filter

math.NT2026

Weighted singular vectors in common-base self-similar sets

Taehyeong Kim, Jaemin Park

We prove a lower bound for the Hausdorff dimension of weighted totally irrational singular vectors in affine-spanning common-base integral self-similar sets satisfying the open set…

math.NT2024

Infinitely badly approximable affine forms

Taehyeong Kim

A pair $(A, b)$ of a real $m \times n$ matrix $A$ and $b \in R^{m}$ is said to be $infinitely badly approximable$ if \[ \liminf_{\mathbf{q}\in\mathbb{…

math.NT2023★ 1 cited

On a Kurzweil type theorem via ubiquity

Taehyeong Kim

Kurzweil's theorem ('55) is concerned with zero-one laws for well approximable targets in inhomogeneous Diophantine approximation under the badly approximable assumption. In this a…

math.NT2022★ 1 cited

On a lower bound of Hausdorff dimension of weighted singular vectors

Taehyeong Kim, Jaemin Park

Let $w = (w_{1}, \dots, w_{d})$ be a $d$ -tuple of positive real numbers such that $\sum_{i} w_{i} = 1$ and $w_{1} \geq \dots \geq w_{d}$ . A $d$ -dimensional vector $x=(x_1,\dots,x_d)\in\mathbb{R}^d…

math.NT2021

On Hausdorff dimension in inhomogeneous Diophantine approximation over global function fields

Taehyeong Kim, Seonhee Lim, Frédéric Paulin

In this paper, we study inhomogeneous Diophantine approximation over the completion $K_{v}$ of a global function field $K$ (over a finite field) for a discrete valuation $v$ , with af…