Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
rational numbers
number fields |
| gptkbp:concerns |
quadratic forms
|
| gptkbp:field |
algebraic number theory
number theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Hasse–Minkowski theorem
|
| gptkbp:implies |
local-global principle for quadratic forms
|
| gptkbp:namedAfter |
gptkb:Helmut_Hasse
gptkb:Hermann_Minkowski |
| gptkbp:publishedIn |
gptkb:Mathematische_Annalen
|
| gptkbp:relatedTo |
gptkb:Hasse_principle
local-global principle |
| gptkbp:state |
A quadratic form over a number field is equivalent to a sum of squares if and only if it is so over all completions of the field.
|
| gptkbp:usedIn |
classification of quadratic forms
|
| gptkbp:yearProved |
1920s
|
| gptkbp:bfsParent |
gptkb:Helmut_Hasse
gptkb:Algebraic_number_theory |
| gptkbp:bfsLayer |
5
|