Geometry of Numbers

GPTKB entity

Statements (55)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo gptkb:Diophantine_approximation
algebraic number theory
cryptography
number theory
gptkbp:developedBy late 19th century
gptkbp:foundedBy gptkb:Hermann_Minkowski
gptkbp:hasConcept gptkb:Minkowski's_convex_body_theorem
gptkb:Minkowski's_lattice_point_theorem
convex set
lattice
successive minima
fundamental domain
covering radius
packing density
https://www.w3.org/2000/01/rdf-schema#label Geometry of Numbers
gptkbp:notable_for gptkb:Blichfeldt's_theorem
gptkb:Minkowski's_theorem
gptkb:Mahler's_compactness_theorem
gptkb:Mordell's_theorem
gptkbp:notableBook gptkb:Geometry_of_Numbers_by_C._D._Olds,_Anneli_Lax,_Giuliana_Davidoff
gptkb:Geometry_of_Numbers_by_Peter_M._Gruber,_C._G._Lekkerkerker
gptkb:Introduction_to_the_Geometry_of_Numbers_by_J._W._S._Cassels
gptkb:The_Geometry_of_Numbers_by_J._W._S._Cassels
gptkbp:notableFor gptkb:algebraic_geometry
coding theory
crypt
mathematical physics
modular forms
combinatorics
optimization
integer programming
lattice-based cryptography
gptkbp:notablePerson gptkb:G._H._Hardy
gptkb:Hans_Heilbronn
gptkb:Hermann_Minkowski
gptkb:John_H._Conway
gptkb:Harold_Davenport
gptkb:C._L._Siegel
gptkb:John_Leech
gptkb:Kurt_Mahler
gptkb:Louis_Mordell
gptkbp:relatedTo gptkb:algebra
gptkb:geometry
analysis
quadratic forms
lattice packing
reduction theory
sphere packing
successive minima
gptkbp:studies convex bodies
integer solutions to equations
lattice points
gptkbp:bfsParent gptkb:Geometry_of_Numbers_by_C._D._Olds,_Anneli_Lax,_Giuliana_Davidoff
gptkbp:bfsLayer 6