Unique polynomial solution of $m/n=1/x+1/y+1/z$ for $n\equiv b\mathrm{mod}a$ if $(a,m)=1$

Bernd R. Schuh

Necessary and sufficient conditions for the existence of an integer solution of the diophantine equation $m/n=1/x(\lambda )+1/y(\lambda )+1/z(\lambda )$ with $n=b+a\lambda$ are explicitly given for a,b copri…