Partition Regularity of Nonlinear Polynomials: a Nonstandard Approach

Lorenzo Luperi Baglini

In 2011, Neil Hindman proved that for every natural number $n,m$ the polynomial \begin{equation*} \sum_{i=1}^{n} x_{i}-\prod\limits_{j=1}^{m} y_{j} \end{equation*} has monochromati…