29 citations · 64 across the 45 of their papers we have counts for
9 papers · 1 filter
On the structure of distance sets over prime fields
Thang Pham, Andrew Suk
Let be a finite field of order and be a set in . The distance set of , denoted by , is the set of dist…
Extension theorems and a connection to the Erdős-Falconer distance problem over finite fields
Doowon Koh, Thang Pham, Le Anh Vinh
The first purpose of this paper is to provide new finite field extension theorems for paraboloids and spheres. By using the unusual good Fourier transform of the zero sphere in som…
Exponential sum estimates over prime fields
Doowon Koh, Mozhgan Mirzaei, Thang Pham +1
In this paper, we prove some extensions of recent results given by Shkredov and Shparlinski on multiple character sums for some general families of polynomials over prime fields. T…
On restriction estimates for the zero radius sphere over finite fields
Alex Iosevich, Doowon Koh, Sujin Lee +2
In this paper, we solve completely the extension conjecture for the zero radius sphere over finite fields. We also obtain the sharp extension estimate for…
Sum-product estimates over arbitrary finite fields
Doowon Koh, Sujin Lee, Thang Pham +1
In this paper we prove some results on sum-product estimates over arbitrary finite fields. More precisely, we show that for sufficiently small sets we have…
A new bound on Erdős distinct distances problem in the plane over prime fields
Alex Iosevich, Doowon Koh, Thang Pham +2
In this paper we obtain a new lower bound on the Erdős distinct distances problem in the plane over prime fields. More precisely, we show that for any set …