3 papers
math.CO2026
ErdÅs--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 ErdÅs--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 and be the -dimensional vector space over a finite field of order , where is an odd prime power. Let be the set of lines through t…
math.NT2025
On a theorem of Mattila in the p-adic setting
Boqing Xue, Thang Pham, Le Q. Hung +2
Let be subsets of . In this note, we provide conditions on the densities of and such that for a positive proportion…