Die Theorie der algebraischen Zahlkörper

E208854

"Die Theorie der algebraischen Zahlkörper" is a foundational mathematical monograph on algebraic number fields, authored by David Hilbert and published as part of his influential Zahlbericht.

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Predicate Object
instanceOf book
mathematical monograph
treatise
aimsAt systematic exposition of algebraic number fields
author David Hilbert
citedAs Die Theorie der algebraischen Zahlkörper self-linksurface differs
surface form: Hilberts Zahlbericht
countryOfPublication German Empire
describes algebraic number fields
class groups
decomposition of prime ideals
discriminants of number fields
ideals in number fields
norms and traces in number fields
ramification in extensions of number fields
units in number fields
zeta functions of number fields
field algebraic number theory
hasAlternativeName Die Theorie der algebraischen Zahlkörper
surface form: Hilberts Zahlbericht
hasAuthor David Hilbert
hasInfluenceOn class field theory
ideal theory
modern algebraic number theory
historicalRole synthesized 19th-century work in algebraic number theory
impact standard reference for early 20th-century number theorists
influenced Emil Artin
Helmut Hasse
class field theory textbooks
isFoundationalWorkIn algebraic number theory
language German
mainTopic algebraic number fields
mathematicalDiscipline algebra
number theory
originalTitle Die Theorie der algebraischen Zahlkörper self-link
partOf Zahlbericht
publicationCentury 20th century
publisher Jahresbericht der Deutschen Mathematiker-Vereinigung
subjectOf historical studies in mathematics
titleLanguage de
usesConcept Galois extension
class number
discriminant
field extension
ideal
prime ideal
ring of integers of a number field
unit group

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Referenced by (6)

Full triples — surface form annotated when it differs from this entity's canonical label.

Zahlbericht title Die Theorie der algebraischen Zahlkörper
Zahlbericht alsoKnownAs Die Theorie der algebraischen Zahlkörper
this entity surface form: Hilbert’s Zahlbericht
Zahlbericht alsoKnownAs Die Theorie der algebraischen Zahlkörper
this entity surface form: Hilbert’s report on algebraic number theory
Die Theorie der algebraischen Zahlkörper originalTitle Die Theorie der algebraischen Zahlkörper self-link
Die Theorie der algebraischen Zahlkörper citedAs Die Theorie der algebraischen Zahlkörper self-linksurface differs
this entity surface form: Hilberts Zahlbericht
Die Theorie der algebraischen Zahlkörper hasAlternativeName Die Theorie der algebraischen Zahlkörper
this entity surface form: Hilberts Zahlbericht