On the number of sum-free triplets of sets

Igor Araujo, József Balogh, Ramon I. Garcia

We count the ordered sum-free triplets of subsets in the group $\mathbb{Z}/p\mathbb{Z}$, i.e., the triplets $(A,B,C)$ of sets $A,B,C\subset \mathbb{Z}/p\mathbb{Z}$ for which the e…