%0 Journal Article %T An extension of Behrend's theorem %A Paul H. Koester %J Online Journal of Analytic Combinatorics %D 2008 %I University of Auckland %X We extend an argument of Felix Behrend to show that fairly dense subsets of the integers exist which contain no solution to certain systems of linear equations. %U http://analytic-combinatorics.org/index.php/ojac/article/view/34