29 citations · 64 across the 45 of their papers we have counts for
5 papers · 2 filters
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…
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…