Explicit Formula for Counting Lattice Points of Polyhedra

Jean B. Lasserre, Eduardo S. Zeron

Given $z\in C^n$ and $A\in Z^{m\times n}$, we consider the problem of evaluating the counting function $h(y;z):=\sum \{z^x:x\in Z^n;Ax=y,x\ge 0\}$. We provide an explicit expre…