Dung The Tran

activity

20222026

collaborators

Showing 2025Show all

2 papers · 1 filter

math.CO2025

Additive structures imply more distances in $F_{q}^{d}$

Daewoong Cheong, Gennian Ge, Doowon Koh +3

For a set $E \subseteq F_{q}^{d}$ , the distance set is defined as $Δ (E) := {∥ x - y ∥ : x, y \in E}$ , where $∥ \cdot ∥$ denotes the stand…

math.CO2025

A functional Loomis-Whitney type inequality in the Heisenberg group and projection theorems over finite fields

Daewoong Cheong, Thang Pham, Dung The Tran

We establish functional Loomis--Whitney type inequalities in the finite Heisenberg group $H^{n} (F_{q})$ . For $n = 1$ , we determine the sharp region of exponents $(u_1,u…

Additive structures imply more distances in Fqd​

A functional Loomis-Whitney type inequality in the Heisenberg group and projection theorems over finite fields

Additive structures imply more distances in $F_{q}^{d}$