Higher dimensional Frobenius problem: Maximal saturated cone, growth function and rigidity

Ai-hua Fan, Hui Rao, Yuan Zhang

We consider $m$ integral vectors $X_1,...,X_m\in {\mathbb{Z}}^s$ located in a half-space of ${\mathbb{R}}^s$ ($m\ge s\ge 1$) and study the structure of the additive semi-group $X_1 \…