29 citations · 64 across the 45 of their papers we have counts for
5 papers · 1 filter
An asymmetric bound for sum of distance sets
Daewoong Cheong, Doowon Koh, Thang Pham
For , let denote the distance set determined by pairs of points in . By using additive energies of sets on a paraboloid, Koh, Pham, Shen, and Vi…
A spherical extension theorem and applications in positive characteristic
Doowon Koh, Thang Pham
In this paper, we prove an extension theorem for spheres of square radii in , which improves a result obtained by Iosevich and Koh (2010). Our main tool is a new po…
A point-sphere incidence bound in odd dimensions and applications
Doowon Koh, Thang Pham
In this paper, we prove a new point-sphere incidence bound in vector spaces over finite fields. More precisely, let be a set of points and be a set of spheres in $\mathbb{F…
On the finite field cone restriction conjecture in four dimensions and applications in incidence geometry
Doowon Koh, Sujin Lee, Thang Pham
The first purpose of this paper is to solve completely the finite field cone restriction conjecture in four dimensions with non-square. The second is to introduce a new approa…
On the Pinned Distances Problem in Positive Characteristic
Brendan Murphy, Giorgis Petridis, Thang Pham +2
We study the Erd\H os-Falconer distance problem for a set , where is a field of positive characteristic . If and th…