3 problems

Let $\mathbf{n}\in\mathbb{Z}^d_{>0}$ be a velocity vector, and let … Here an interior lattice point means a point $\mathbf w\in\operatorname{int}(T_{\mathbf n})\cap\mathbb{Z}^d$, a…

Let $\mathbf{n}\in\mathbb{Z}^d_{>0}$ be a velocity vector, meaning that its entries are distinct and relatively prime, and let … An interior lattice point is a point…

Let $\boldsymbol v=(v_1,\ldots,v_{n-1})$ be a vector of increasing positive integers, and let $\operatorname{gap}(\boldsymbol v)$ and $\lambda_+(\boldsymbol v)$ be the quantities d…