The aim of this note is to point out some combinatorial applications of a lemma of Scarf, proved first in the context of game theory. The usefulness of the lemma in combinatorics...
Gowers [Gow98, Gow01] introduced, for d 1, the notion of dimension-d uniformity Ud (f) of a function f : G C, where G is a finite abelian group. Roughly speaking, if a function ...