The multiplication table problem in large dimensions

Cihan Sabuncu, Christian Táfula

For $N\ge 2$ and $k\ge 1$, let $M_k(N):=\#\{x_1\cdots x_k:x_i\in \{1,\dots ,N\}\text{ for all }i\}$ be the $k$-dimensional multiplication table. Given $N$, Khovanskii's theorem…