Dongho Kim

collaborators

2 papers

math.NT2026

Generalizing a Pair of Diophantine Equations

Hung Viet Chu, Dongho Kim, Theodore Koch +2

For coprime integers $a$ and $b$ , it is known that exactly one of the two Diophantine equations $$ ax+by\ =\ \frac{(a-1)(b-1)}{2} \qquad\text{and}\qquad 1+ax+by\ =\ \frac{(a-1)(b-1…

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…