%0 Journal Article
%T On monochromatic solutions of some nonlinear equations in Z/pZ
%A I. D. Shkredov
%J Mathematics
%D 2009
%I arXiv
%X Consider an arbitrary coloring of integers with finite number of colors. Is it true that there are x, y such that x + y, xy and x have the same color? This is a well-known question of Ramsey theory has not solved yet. In the article we give a positive answer to the last question in the group Z/pZ, where p is a prime number.
%U http://arxiv.org/abs/0909.3269v1