Towards characterizing the 2-Ramsey equations of the form $ax+by=p(z)$

Zsolt Baja, Dániel Dobák, Benedek Kovács +2

In this paper, we study a Ramsey-type problem for equations of the form $ax+by=p(z)$. We show that if certain technical assumptions hold, then any 2-colouring of the positive integ…