Solution to a conjecture of Alon, Dębski, Grytczuk and Przybyło on fixed-cardinality arithmetic progressions

Yaping Mao, Zhao Wang, Meiqin Wei +1

Fix a positive integer $n$, and put $B_d=\{d,2d,\dots ,nd\}$. Let $M_k(n)$ be the least integer $m$ for which one translate of each of $B_1,\dots ,B_k$ can be placed pairwise disjo…