5 papers · 1 filter
Congruence Classes in : Sharp Results via an Energy Approach
Thang Pham, Le Quang Ham, Steven Senger +2
Let denote the set of congruence classes of ordered -tuples of pairwise distinct points of . Let be prime. For with $3\leq|…
Erdős--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 Erdős--Falconer…
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 th…
On three-variable expanders over finite valuation rings
Nguyen Van The, Phuc D Tran, Le Quang Ham +1
Let be a finite valuation ring of order . In this paper, we prove that for any quadratic polynomial that is of the form $axy+R(…
On a theorem of Hegyvári and Hennecart
Dao Nguyen Van Anh, Le Quang Ham, Doowon Koh +2
In this paper, we study growth rate of product of sets in the Heisenberg group over finite fields and the complex numbers. More precisely, we will give improvements and extensions…