3 papers
math.NT2025
Problems Regarding a Pair of Diophantine Equations
Hung Viet Chu, Steven J. Miller, Garrett Tresch
For two relatively prime positive integers , it is known that exactly one of the two Diophantine equations $$ax + by \ =\ \frac{(a-1)(b-1)}{2}\ \mbox{ and }\ 1…
math.NT2025
A Pair of Diophantine Equations and Fibonacci-Like Sequences
Hung Viet Chu, Rishabh Gulecha, Sicheng Guo +3
Given two relatively prime numbers and , it is known that exactly one of the two Diophantine equations has a nonnegative integral solution : $$ ax + by \ =\ \frac{(a-…
math.CO2025
Linear Recurrences from Counting Schreier-Type Multisets
Hung Viet Chu, Yubo Geng, Julian King +3
A nonempty set is Schreier if . Bird observed that counting Schreier sets in a certain way produces the Fibonacci sequence. Since then, various connections betwe…