Summing a polynomial function over integral points of a polygon. User's guide

TL;DR

This paper introduces a Maple program for summing polynomial functions over the integral points within polygons, providing both practical implementation and mathematical background for users.

Contribution

It offers a computational tool along with theoretical insights for summing polynomial functions over lattice points in polygons.

Findings

Provides a Maple program for summation over lattice points

Includes mathematical background for the summation process

Facilitates practical computation of polynomial sums

Abstract

This document is a companion for the Maple program \textbf{Summing a polynomial function over integral points of a polygon}. It contains two parts. First, we see what this programs does. In the second part, we briefly recall the mathematical background.