Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
lattice polytopes
|
| gptkbp:describes |
relationship between lattice points in polytopes and their interiors
|
| gptkbp:field |
gptkb:geometry
combinatorics |
| https://www.w3.org/2000/01/rdf-schema#label |
Ehrhart reciprocity
|
| gptkbp:namedAfter |
gptkb:Eugène_Ehrhart
|
| gptkbp:publishedIn |
gptkb:Comptes_Rendus_de_l'Académie_des_Sciences
|
| gptkbp:relatedTo |
gptkb:Ehrhart_polynomial
|
| gptkbp:sentence |
For a lattice polytope P and positive integer t, the number of integer points in the interior of tP equals (-1)^d times the number of integer points in t(-P), where d is the dimension of P.
|
| gptkbp:yearProposed |
1962
|
| gptkbp:bfsParent |
gptkb:Stanley’s_reciprocity_theorem
|
| gptkbp:bfsLayer |
8
|