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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…