Séminaire Lotharingien de Combinatoire, 89B.17 (2023), 12 pp.
Jesús A. De Loera, Laura Escobar, Nathan Kaplan
and Chengyang Wang
Sums of Weighted Lattice Points of Polytopes
Abstract.
We study the problem of counting lattice points of a polytope that are weighted by an Ehrhart quasi-polynomial of a family of parametric polytopes. As applications one can compute integrals and maximum values of such quasi-polynomials. We not only recover some known identities in representation theory and semigroup theory but obtain new ones.
Received: November 15, 2022.
Accepted: February 20, 2023.
Final version: April 1, 2023.
The following versions are available: