T. Pham

activity

20142023

most citedOn the Pinned Distances Problem in Positive Characteristic

29 citations · 64 across the 45 of their papers we have counts for

collaborators

Showing 2019Show all

5 papers · 1 filter

math.CO2019

On a theorem of Hegyvári and Hennecart

Dao Nguyen Van Anh, Le Quang Ham, Doowon Koh +2

In this paper, we study growth rate of product of sets in the Heisenberg group over finite fields and the complex numbers. More precisely, we will give improvements and extensions…

math.CO2019★ 4 cited

A new perspective on the distance problem over prime fields

Alex Iosevich, Doowon Koh, Thang Pham

Let $F_{p}$ be a prime field, and $E$ a set in $F_{p}^{2}$ . Let $Δ (E) = {∣∣ x - y ∣∣ : x, y \in E}$ , the distance set of $E$ . In…

math.CO2019

Distribution of distances in positive characteristic

Thang Pham, Le Anh Vinh

Let $F_{q}$ be an arbitrary finite field, and $E$ be a set of points in $F_{q}^{d}$ . Let $Δ (E)$ be the set of distances determined by pairs of point…

math.CO2019

Distribution of determinant of sum of matrices

Daewoong Cheong, Doowon Koh, Thang Pham +1

Let $F_{q}$ be an arbitrary finite field of order $q$ . In this article, we study $det S$ for certain types of subsets $S$ in the ring $M_{2} (F_{q})$ of $2 \times 2$ matr…

math.CA2019

Extension theorems for Hamming varieties over finite fields

Daewoong Cheong, Doowon Koh, Thang Pham

We study the finite field extension estimates for Hamming varieties $H_{j}, j \in F_{q}^{*},$ defined by $H_{j} = {x \in F_{q}^{d} : \prod_{k = 1}^{d} x_{k} = j},$ where $F_{q}^{d}$ d…