Khoa D. Nguyen

activity

20152026

collaborators

Showing math.NTShow all

4 papers · 1 filter

math.NT2026

Algebraic numbers and Fourier analysis: Salem's third problem

Khoa D. Nguyen

In 1963, Raphaël Salem concluded his highly influential book ``Algebraic Numbers and Fourier Analysis'' with a list of four unsolved problems. The first two problems remain wide op…

math.NT2024

Counting rational maps on $P^{1}$ with prescribed local conditions

Khoa D. Nguyen, Anwesh Ray

We explore distribution questions for rational maps on the projective line $P^{1}$ over $Q$ within the framework of arithmetic dynamics, drawing analogies to ellipt…

math.NT2024

On Certain Polytopes Associated to Products of Algebraic Integer Conjugates

Seda Albayrak, Samprit Ghosh, Greg Knapp +1

Let $d > k$ be positive integers. Motivated by an earlier result of Bugeaud and Nguyen, we let $E_{k, d}$ be the set of $(c_{1}, \dots, c_{k}) \in R_{\geq 0}^{k}$ such that $\vertα_0\…

math.NT2015

Algebraic approximations to linear combinations of powers: an extension of results by Mahler and Corvaja-Zannier

Avinash Kulkarni, Niki Myrto Mavraki, Khoa D. Nguyen

For every complex number $x$ , let $∥ x ∥_{Z} := min {∣ x - m ∣ : m \in Z}$ . Let $K$ be a number field, let $k \in N$ , and let $α_{1}, \dots, α_{k}$ be non-zero…

Algebraic numbers and Fourier analysis: Salem's third problem

Counting rational maps on P1 with prescribed local conditions

On Certain Polytopes Associated to Products of Algebraic Integer Conjugates

Algebraic approximations to linear combinations of powers: an extension of results by Mahler and Corvaja-Zannier

Counting rational maps on $P^{1}$ with prescribed local conditions