2 papers
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.GM2025
A Survey of Alternative Solutions to the Congruum Problem
Nathanael Johnson
A congruum was first defined by Leonardo Pisano in 1225 and it is defined as the common difference in an arithmetic progression of three perfect squares. Later that year in his boo…