Khoa D. Nguyen

collaborators

4 papers

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.RA2024

Torsion subgroups of Whitehead groups of graded division algebras

Huynh Viet Khanh, Nguyen Duc Anh Khoa, Nguyen Dinh Anh Khoi

In this paper, we study the torsion subgroup, which is denoted by $TK_{1} (E)$ , of the Whitehead group $E^{*} / [E^{*}, E^{*}]$ of a graded division algebra $E$ which is finite dimension…

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

Torsion subgroups of Whitehead groups of graded division algebras

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