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

Velleda Baldoni (1) , Nicole Berline (2) , Michèle Vergne (2, 3)

1 DIPMAT - Dipartimento di Matematica [Roma II]
2 CMLS - Centre de Mathématiques Laurent Schwartz
3 IMJ - Institut de Mathématiques de Jussieu

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.

Mots clés: Polygon; weighted Ehrhart polynomial

Domaines: Géométrie algorithmique [cs.CG]; Combinatoire [math.CO]

Velleda Baldoni, Nicole Berline, Michèle Vergne. Summing a polynomial function over integral points of a polygon. User's guide.. 2009. ⟨hal-00383196⟩