Product representation of perfect cubes

Zsigmond György Fleiner, Márk Hunor Juhász, Blanka Kövér +2

Let $F_{k,d}(n)$ be the maximal size of a set $A\subseteq [n]$ such that the equation \[a_1a_2\dots a_k=x^d, \; a_1<a_2<\ldots<a_k\] has no solution with $a_1,a_2,\ldots,a_k\in {…