29 citations · 64 across the 45 of their papers we have counts for
6 papers · 1 filter
Three-variable expanding polynomials and higher-dimensional distinct distances
Thang Pham, Le Anh Vinh, Frank de Zeeuw
We determine which quadratic polynomials in three variables are expanders over an arbitrary field . More precisely, we prove that for a quadratic polynomial $f\in \math…
Congruence classes of triangles in
Pham Van Thang, Le Anh Vinh
In this short note, we give a lower bound on the number of congruence classes of triangles in a small set of points in . More precisely, for $\mathcal{A}\subset \ma…
Sumsets of the distance set in
Thang Pham
Let be a finite field of order , where is large odd prime power. In this paper, we improve some recent results on the additive energy of the distance set, and…
Distinct spreads in vector spaces over finite fields
Ben Lund, Thang Pham, Le Anh Vinh
In this short note, we study the distribution of spreads in a point set , which are analogous to angles in Euclidean space. More precisely, we…
An improvement on the number of simplices in
Thang Pham, Duc Hiep Pham, Anh Vinh Le
Let be a set of points in . Bennett, Hart, Iosevich, Pakianathan, and Rudnev (2016) proved that if then $\mat…
Incidence bounds and applications over finite fields
Nguyen Duy Phuong, Thang Pham, Nguyen Minh Sang +2
In this paper we introduce a unified approach to deal with incidence problems between points and varieties over finite fields. More precisely, we prove that the number of incidence…