Highest coefficients of weighted Ehrhart quasi-polynomials for a rational polytope

TL;DR

This paper introduces a method to compute the leading coefficients of weighted Ehrhart quasi-polynomials associated with rational simple polytopes, advancing the understanding of their geometric and combinatorial properties.

Contribution

It provides a novel computational approach for the highest degree coefficients of weighted Ehrhart quasi-polynomials for rational simple polytopes.

Findings

Method effectively computes leading coefficients

Enhances understanding of Ehrhart quasi-polynomials

Applicable to rational simple polytopes

Abstract

We describe a method for computing the highest degree coefficients of a weighted Ehrhart quasi-polynomial for a rational simple polytope.