Thang Pham

collaborators

3 papers

math.CO2025

Polynomial extensions of Raimi's theorem

Norbert Hegyvari, Janos Pach, Thang Pham

Raimi's theorem guarantees the existence of a partition of $N$ into two parts with an unavoidable intersection property: for any finite coloring of $N$ , some colo…

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.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…