L. Ham

activity

20152026

collaborators

7 papers

math.CO2026

Congruence Classes in $F_{p}^{2}$ : Sharp Results via an Energy Approach

Thang Pham, Le Quang Ham, Steven Senger +2

Let $T_{k} (E)$ denote the set of congruence classes of ordered $k$ -tuples of pairwise distinct points of $E$ . Let $p \equiv 3 (mod 4)$ be prime. For $E \subset F_{p}^{2}$ with $3\leq|…

math.CO2026

Erdős--Falconer distance conjecture from an analytic perspective

Le Quang Ham, Dung The Tran

Let $q$ be an odd prime power and let $V=\F_q^{2m}$, equipped with $Q(x)=x_1^2+\cdots+x_{2m}^2$. We develop a semidefinite Delsarte framework for the two-set Erdős--Falconer…

math.CO2025

Restricted projections in positive characteristic via Fourier extension and restriction estimates

Le Quang Ham, Do Trong Hoang, Le Quang Hung +2

Let $d \geq 3$ and $F_{q}^{d}$ be the $d$ -dimensional vector space over a finite field of order $q$ , where $q$ is an odd prime power. Let $X_{π}$ be the set of lines through th…

math.NT2025

On a theorem of Mattila in the p-adic setting

Boqing Xue, Thang Pham, Le Q. Hung +2

Let $A, B$ be subsets of $(Z / p^{r} Z)^{2}$ . In this note, we provide conditions on the densities of $A$ and $B$ such that $∣ g A - B ∣ ≫ p^{2 r}$ for a positive proportion…

math.CO2020

On three-variable expanders over finite valuation rings

Nguyen Van The, Phuc D Tran, Le Quang Ham +1

Let $R$ be a finite valuation ring of order $q^{r}$ . In this paper, we prove that for any quadratic polynomial $f (x, y, z) \in R [x, y, z]$ that is of the form $axy+R(…

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.NT2015

Conditional expanding bounds for two-variable functions over finite valuation rings

Le Quang Ham, Thang Pham, Le Anh Vinh

In this paper, we use methods from spectral graph theory to obtain some results on the sum-product problem over finite valuation rings $R$ of order $q^{r}$ which generalize…