Minkowski's lattice point theorem
GPTKB entity
Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
convex symmetric sets
lattices in n-dimensional Euclidean space |
| gptkbp:field |
gptkb:geometry_of_numbers
|
| gptkbp:generalizes |
gptkb:Blichfeldt's_theorem
|
| https://www.w3.org/2000/01/rdf-schema#label |
Minkowski's lattice point theorem
|
| gptkbp:namedAfter |
gptkb:Hermann_Minkowski
|
| gptkbp:publishedIn |
gptkb:Geometrie_der_Zahlen
|
| gptkbp:relatedTo |
gptkb:Minkowski's_convex_body_theorem
successive minima lattice point enumeration |
| gptkbp:sentence |
Any convex set in Euclidean space of volume greater than 2^n times the determinant of a lattice contains a nonzero lattice point.
|
| gptkbp:usedIn |
gptkb:geometry
algebraic number theory cryptography number theory |
| gptkbp:yearProposed |
1896
|
| gptkbp:bfsParent |
gptkb:Geometry_of_Numbers
gptkb:Minkowskis_Gitterpunktsatz |
| gptkbp:bfsLayer |
7
|