A generalization of Croot-Lev-Pach's Lemma and a new upper bound for the size of difference sets in polynomial rings

Gábor Hegedüs

Croot, Lev and Pach used a new polynomial technique to give a new exponential upper bound for the size of three-term progression-free subsets in the groups $({\mathbb{Z}}_4{)}^n$. The…