A note on the Erdős-Straus conjecture
The authors consider the Erdős-Straus equation \(\frac{c}{n}=\frac 1x+\frac 1y+\frac 1z\), where \(n,c\) are coprime positive integers. They provide a formula for the number \(f(n,c)\) of positive integral solutions \((x,y,z)\) of the equation. The conjecture of Erdős and Straus saying that \(f(n,4)\geq 1\) for all \(n\geq 2\) is proved under certain assumptions.
scientific article; zbMATH DE number 6699248
scientific article