Hunseok Kang

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math.CO2026

The Mattila-Sjölin problem for the k-distance over a finite field

Daewoong Cheong, Hunseok Kang, Jinbeom Kim

Let $F_{q}^{d}$ be a $d$ -dimensional vector space over a finite field $F_{q}$ with $q$ elements. For $x \in F_{q}^{d}$ , let $∥ x ∥ = x_{1}^{2} + \dots + x_{d}^{2}$ . By abuse of…

math.CO2025

Raimi's theorem for the $n$ -dimensional torus

Hunseok Kang, Doowon Koh, Dung The Tran

We extend Raimi's classical partition theorem to the continuous setting of the circle and $n$ -dimensional torus. Building on recent work of Hegyvári, Pach, and Pham in finite group…

math.CO2025

The Erdős-Falconer distance problem between arbitrary sets and $k$ -coordinatable sets in finite fields

Hunseok Kang, Doowon Koh, Firdavs Rakhmonov

In this paper, we study the cardinality of the distance set $Δ (A, B)$ determined by two subsets $A$ and $B$ of the $d$ -dimensional vector space over a finite field $F_{q}$ .…

The Mattila-Sjölin problem for the k-distance over a finite field

Raimi's theorem for the n-dimensional torus

The Erdős-Falconer distance problem between arbitrary sets and k-coordinatable sets in finite fields

Raimi's theorem for the $n$ -dimensional torus

The Erdős-Falconer distance problem between arbitrary sets and $k$ -coordinatable sets in finite fields