M. Pham

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math.NT2021

Structural theorems on the distance sets over finite fields

Doowon Koh, Minh Quy Pham, Thang Pham

Let $F_{q}$ be a finite field of order $q$ . Iosevich and Rudnev (2005) proved that for any set $A \subset F_{q}^{d}$ , if $∣ A ∣ ≫ q^{\frac{d + 1}{2}}$ , then the distance se…

math.NT2021

On the $k$ -resultant modulus set problem on varieties over finite fields

Minh Quy Pham

Let $V \subset F_{q}^{d}$ be a \textit{regular} variety, $k \geq 3$ is an integer and $A \subseteq V$ . Covert, Koh, and Pi (2017) proved the following generalization of the Erdős-…

Structural theorems on the distance sets over finite fields

On the k-resultant modulus set problem on varieties over finite fields

On the $k$ -resultant modulus set problem on varieties over finite fields