Cassels' theorem

GPTKB entity

Statements (13)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo rational quadratic forms
gptkbp:concerns quadratic forms
local-global principle
integral solutions
gptkbp:field number theory
https://www.w3.org/2000/01/rdf-schema#label Cassels' theorem
gptkbp:namedAfter gptkb:J._W._S._Cassels
gptkbp:publishedIn 1955
gptkbp:relatedTo gptkb:Hasse–Minkowski_theorem
gptkbp:state If a quadratic form over the rationals represents zero nontrivially over the reals and over the p-adic numbers for all primes p, then it represents zero nontrivially over the rationals.
gptkbp:bfsParent gptkb:J._W._S._Cassels
gptkbp:bfsLayer 7