A sumset version of a conjecture of Pilz

János Nagy, Péter Pál Pach

Pilz's conjecture states that for any finite set $A=\{a_1,a_2,\dots ,a_k\}$ of positive integers and positive integer $n$ in the union of the sets $\{a_1,2a_1,\dots,na_1\},\dots, \{…