Counting Integral Points in Polytopes via Numerical Analysis of Contour Integration

Hiroshi Hirai, Ryunosuke Oshiro, Ken'ichiro Tanaka

In this paper, we address the problem of counting integer points in a rational polytope described by $P(y)=\{x\in {\mathbb{R}}^m:Ax=y,x\ge 0\}$, where $A$ is an $n \t…