Le Anh Vinh

collaborators

3 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.CO2026

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 $Ï^V:\mathbb{…

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-…

Parabolic distance in Fq2​: a sharp exponent and new results

Orthogonal projections and incidence bounds in planes over prime order fields

On the solvability of systems of equations revisited

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