On numerical semigroup elements and the ${\ell }_0$- and ${\ell }_{\infty }$-norms of their factorizations

Sogol Cyrusian, Alex Domat, Christopher O'Neill +3

A numerical semigroup $S$ is a cofinite, additively-closed subset of ${\mathbb{Z}}_{\ge 0}$ that contains 0, and a factorization of $x\in S$ is a $k$-tuple $z=(z_1,\dots ,z_k)$ w…