M. Pham

collaborators

3 papers

math.CA2021

Bounds for volumes of sub-level sets of polynomials and applications

Ta Lê Loi, Minh Quy Pham

In this paper, we present some explicit exponents in the estimates for the volumes of sub-level sets of polynomials on bounded sets, and applications to the decay of oscillatory in…

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-…

Bounds for volumes of sub-level sets of polynomials and applications

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