Minkowskis Gitterpunktsatz

GPTKB entity

Statements (19)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:alsoKnownAs gptkb:Minkowski's_lattice_point_theorem
gptkbp:appliesTo convex sets
lattices in Euclidean space
centrally symmetric sets
gptkbp:field gptkb:geometry_of_numbers
gptkbp:formedBy gptkb:Hermann_Minkowski
1896
https://www.w3.org/2000/01/rdf-schema#label Minkowskis Gitterpunktsatz
gptkbp:namedAfter gptkb:Hermann_Minkowski
gptkbp:relatedTo gptkb:geometry_of_numbers
gptkb:Minkowski's_convex_body_theorem
gptkbp:sentence Any convex, symmetric set in R^n with volume greater than 2^n times the determinant of a lattice contains a nonzero lattice point.
gptkbp:usedIn gptkb:Diophantine_approximation
algebraic number theory
number theory
lattice point enumeration
gptkbp:bfsParent gptkb:Algebraische_Zahlentheorie
gptkbp:bfsLayer 6