\documentclass[12pt]{article}
\usepackage{amsmath,mathrsfs,bbm}
\usepackage{amssymb}
\textwidth=4.825in
\overfullrule=0pt
\thispagestyle{empty}

\begin{document}
\noindent
%
%
{\bf Randall McCutcheon}
%
%

\medskip
\noindent
%
%
{\bf The Wildcard Set's Size in the Density Hales-Jewett Theorem}
%
%

\vskip 5mm
\noindent
%
%
%
%
In this paper prove results concerning restrictions on the cardinality
of the wildcard set in the density Hales-Jewett theorem, establishing
in particular that for general $k$ one may choose this cardinality
from any IP set and that for $k=2$ it may be chosen to be a square,
thus providing an abstract extension of S\'ark\"ozy's theorem on
square differences in sets of positive upper density.



\end{document}

.