Minkowski's first theorem

GPTKB entity

Statements (17)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo convex bodies
lattices
gptkbp:field gptkb:geometry_of_numbers
https://www.w3.org/2000/01/rdf-schema#label Minkowski's first theorem
gptkbp:implies existence of short vectors in lattices
gptkbp:namedAfter gptkb:Hermann_Minkowski
gptkbp:publicationYear 1896
gptkbp:publishedIn gptkb:Geometrie_der_Zahlen
gptkbp:relatedTo gptkb:geometry_of_numbers
gptkb:Minkowski's_second_theorem
gptkbp:sentence Any convex, symmetric body in n-dimensional Euclidean space with volume greater than 2^n times the determinant of a lattice contains a nonzero lattice point.
gptkbp:usedIn gptkb:Diophantine_approximation
cryptography
lattice point enumeration
gptkbp:bfsParent gptkb:Minkowski's_convex_body_theorem
gptkbp:bfsLayer 7