Le Anh Vinh

activity

20052026

most citedSzemeredi-Trotter type theorem and sum-product estimate in finite fields

12 citations · 65 across the 40 of their papers we have counts for

collaborators

46 papers

math.CO2026

Parabolic distance in $F_{q}^{2}$ : a sharp exponent and new results

Dao Nguyen Van Anh, Steven Senger, Dung The Tran +1

We study the parabolic variant of the Erd\H os--Falconer distance problem in finite fields. That is, if $q$ is odd, we seek size thresholds beyond which any subset $E\subset \mathb…

math.NT2024

On the solvability of systems of equations revisited

Thang Pham, Steven Senger, Nguyen Trung-Tuan +2

In this paper, we introduce a new and direct approach to study the solvability of systems of equations generated by bilinear forms. More precisely, let $B (\cdot, \cdot)$ be a non-…

math.CO2023

Orthogonal projections and incidence bounds in planes over prime order fields

Ben Lund, Thang Pham, Le Anh Vinh

Let $p$ be an odd prime and let $E \subset F_{p}^{2}$ with $∣ E ∣ = p^{a}$ , where $0 < a \leq 1$ . For a direction $V$ (a $1$ -dimensional subspace of $F_{p}^{2}$ ), let $π^V:\mathbb{F…

math.CO2021

A point-plane incidence theorem in matrix rings

Nguyen Van The, Le Anh Vinh

In this paper, we study a point-hyper plane incidence theorem in matrix rings, which generalizes all previous works in literature of this direction.

math.CO2020

Dot-product sets and simplices over finite rings

Nguyen Van The, Le Anh Vinh

In this paper, we study dot-product sets and $k$ -simplices in vector spaces over finite rings. We show that if $E$ is sufficiently large then the dot-product set of $E$ covers the…

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(…