uniform distribution theory
A Cauchy-Davenport Theorem, Salvatore Tringali · 2014
We generalize the Davenport transform and use it to prove that, for a (possibly non-commutative) cancellative semigroup A = (A; +) and non- empty subsets X;Y of A such that the subsemigroup generated by Y is commu- tative, we havejX + Yj min(!(Y );jXj +jYj 1), where