activity
20062023
most citedExtension theorems for the Fourier transform associated with non-degenerate quadratic surfaces in vector spaces over finite fields

14 citations · 68 across the 47 of their papers we have counts for

collaborators

56 papers

math.NT2023

The quotient set of the quadratic distance set over finite fields

Alex Iosevich, Doowon Koh, Firdavs Rakhmonov

Let be the -dimensional vector space over the finite field with elements. For each non-zero in and ,…

math.CA2023

Multi-linear forms, graphs, and -improving measures in

Pablo Bhowmick, Alex Iosevich, Doowon Koh +1

The purpose of this paper is to introduce and study the following graph theoretic paradigm. Let where , a set, finite or…

math.NT2022

Note on the pinned distance problem over finite fields

Doowon Koh

Let F_q be a finite field with odd q elements. In this article, we prove that if E \subseteq \mathbb F_q^d, d\ge 2, and |E|\ge q, then there exists a set Y \subseteq \mathbb F_q^d…

math.CA2022

Restriction estimates for the flat disks over finite fields

Doowon Koh

In this paper we study the restriction estimate for the flat disk over finite fields. Mockenhaupt and Tao initially studied this problem but their results were addressed only for d…

math.NT2021

Structural theorems on the distance sets over finite fields

Doowon Koh, Minh Quy Pham, Thang Pham

Let be a finite field of order . Iosevich and Rudnev (2005) proved that for any set , if , then the distance se…

math.CA2021

Falconer type functions in three variables

Doowon Koh, Thang Pham, Chun-Yen Shen

Let be a quadratic polynomial that depends on each variable and that does not have the form . Let be compact sets in $\mathb…