Rational Ehrhart quasi-polynomials

Eugène Ehrhart, Sur les polyèdres rationnels homothétiques à n dimensions , Comptes Rendus des Séances de l’Académie des Sciences Série A, 254

1962

Earlier work this paper cites.

Peter McMullen, Lattice invariant valuations on rational polytopes , Archiv der Mathematik 31-1

1978

Earlier work this paper cites.

Richard P. Stanley, Two poset polytopes , Discrete and Computational Geometry 1

1986

Earlier work this paper cites.

Alexander Barvinok, Computing the volume, counting integral points and exponential sums , Proceedings of the eighth annual symposium on Computational geometry, SCG ’92, 1992, pp. 161–170

1992

Earlier work this paper cites.

Michel Brion and Michèle Vergne, Residue forumulae, vector partition functions and lattice points in rational polytopes , Journal of the American Mathematical Society 10(4)

1997

Earlier work this paper cites.

Tyrrell B. McAllister and Kevin M. Woods, The minimum period of the Ehrhart quasi-polynomial of a rational polytope , Journal of Combinatorial Theory. Series A 109

2005

Cited alongside, same era.

Kevin M. Woods, Computing the period of an Ehrhart quasi-polynomial , The Electronic Journal of Combinatorics 12

2005

Cited alongside, same era.

by same author, Computing the Ehrhart quasi-polynomial of a rational simplex , Mathematics of Computation 75

2006

Cited alongside, same era.

Matthias Beck and Sinai Robins, Computing the continuous discretely , Springer, 2006

2006

Cited alongside, same era.

Matthias Beck, Christian Haase, and Asia R. Matthews, Dedekind-Carlitz polynomials as lattice-point enumerators in rational polyhedra , Mathematische Annalen 314(4)

2008

Cited alongside, same era.

Matthias Beck, Steven V. Sam, and Kevin M. Woods, Maximal periods of (Ehrhart) quasi-polynomials , Journal of Combinatorial Theory, Series A 115

2008

Later among the works it cites.

Christian Haase and Tyrell B. McAllister, Quasi-period collapse and G ​ L n ​ ( ℤ ) GL_{n}(\mathbb{Z}) -scissors congruence in rational polytopes , Contemporary Mathematics 452

2008

Later among the works it cites.

Velleda Baldoni, Nicole Berline, Matthias Köppe, and Michèle Vergne, Intermediate Sums on Polyhedra: Computation and Real Ehrhart Theory , (2010), http://arxiv.org/pdf/1011.6002v1

Original

2010

Closest in time.

Sheng Chen, Nan Li, and Steven V. Sam, Generalized Ehrhart polynomials , (2010), to appear in Trans. Amer. Math. Soc

2010

Closest in time.

Steven V. Sam and Kevin M. Woods, A finite calculus approach to Ehrhart polynomials , The Electronic Journal of Combinatorics 17