Hermite's theorem

GPTKB entity

Statements (14)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:field gptkb:algebra
number theory
https://www.w3.org/2000/01/rdf-schema#label Hermite's theorem
gptkbp:implies Finiteness of number fields of given degree and bounded discriminant
gptkbp:namedAfter gptkb:Charles_Hermite
gptkbp:relatedTo algebraic number field
discriminant
integral basis
gptkbp:sentence Every algebraic number field of degree n over the rationals has an integral basis with discriminant bounded in terms of n.
gptkbp:usedIn algebraic number theory
gptkbp:yearProved 1850s
gptkbp:bfsParent gptkb:Charles_Hermite
gptkbp:bfsLayer 6