%0 Journal Article
%T Polynomial largeness and totally ergodic sets
%A Alexander Fish
%J Online Journal of Analytic Combinatorics
%D 2010
%I University of Auckland
%X We prove that a sumset of a TE subset of $mathbb N$ (these sets can be viewed as ˇ°aperiodicˇ± sets) with a set of positive upper density intersects any polynomial sequence. For WM sets (subclass of TE sets) we prove that the intersection has lower Banach density one. In addition we obtain a generalization of the latter result to the case of several polynomials.
%U http://analytic-combinatorics.org/index.php/ojac/article/view/65