Hùng Việt Chu

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20232026

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math.NT2025

Problems Regarding a Pair of Diophantine Equations

Hung Viet Chu, Steven J. Miller, Garrett Tresch

For two relatively prime positive integers $a, b \in N$ , it is known that exactly one of the two Diophantine equations $$ax + by \ =\ \frac{(a-1)(b-1)}{2}\ \mbox{ and }\ 1…

math.NT2025

A Pair of Diophantine Equations and Fibonacci-Like Sequences

Hung Viet Chu, Rishabh Gulecha, Sicheng Guo +3

Given two relatively prime numbers $a$ and $b$ , it is known that exactly one of the two Diophantine equations has a nonnegative integral solution $(x, y)$ : $$ ax + by \ =\ \frac{(a-…

math.NT2024

A Pair of Diophantine Equations Involving the Fibonacci Numbers

Xuyuan Chen, Hung Viet Chu, Fadhlannafis K. Kesumajana +5

Let $a, b \in N$ be relatively prime. Previous work showed that exactly one of the two equations $a x + b y = (a - 1) (b - 1) /2$ and $a x + b y + 1 = (a - 1) (b - 1) /2$ has a nonnegative…

math.NT2023

On a Pair of Diophantine Equations

Sujith Uthsara Kalansuriya Arachchi, Hung Viet Chu, Jiasen Liu +3

For relatively prime natural numbers $a$ and $b$ , we study the two equations $a x + b y = (a - 1) (b - 1) /2$ and $a x + b y + 1 = (a - 1) (b - 1) /2$ , which arise from the study of cyclotomic polynomial…