On The Partition Regularity of $ax+by=c{w}^m{z}^n$

Sohail Farhangi, Richard Magner

Csikvári, Gyarmati, and Sárközy showed that the equation $x+y=z^2$ is not partition regular (PR) over $\mathbb{N}$ and asked if the equation $x+y=wz$ is PR over $\mathbb{N}$. B…