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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-…