T. Pham

activity

20172021

most citedA new perspective on the distance problem over prime fields

4 citations · 4 across the 4 of their papers we have counts for

collaborators

Showing math.CAShow all

5 papers · 1 filter

math.CA2021

Falconer type functions in three variables

Doowon Koh, Thang Pham, Chun-Yen Shen

Let $f \in R [x, y, z]$ be a quadratic polynomial that depends on each variable and that does not have the form $g (h (x) + k (y) + l (z))$ . Let $A, B, C$ be compact sets in $\mathb…

math.CA2021

Mattila--Sjölin type functions: A finite field model

Daewoong Cheong, Doowon Koh, Thang Pham +1

Let $ϕ (x, y) : R^{d} \times R^{d} \to R$ be a function. We say $ϕ$ is a Mattila--Sjölin type function of index $γ$ if $γ$ is the smallest number satisfying…

math.CA2021

On the Mattila-Sjölin distance theorem for product sets

Doowon Koh, Thang Pham, Chun-Yen Shen

Let $A$ be a compact set in $R$ , and $E = A^{d} \subset R^{d}$ . We know from the Mattila-Sjölin's theorem if $dim_{H} (A) > \frac{d + 1}{2 d}$ , then the distance set $Δ (E)$ has…

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…

math.CA2018

Extension theorems and a connection to the Erdős-Falconer distance problem over finite fields

Doowon Koh, Thang Pham, Le Anh Vinh

The first purpose of this paper is to provide new finite field extension theorems for paraboloids and spheres. By using the unusual good Fourier transform of the zero sphere in som…