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.

All labels observed (4)

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Statements (46)

Predicate Object
instanceOf book ⓘ
mathematical monograph ⓘ
treatise ⓘ
aimsAt systematic exposition of algebraic number fields ⓘ
author David Hilbert ⓘ
citedAs 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 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 ⓘ
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 → Hilbert’s Zahlbericht ⓘ
linked to: Die Theorie der algebraischen Zahlkörper
Zahlbericht → alsoKnownAs → Hilbert’s report on algebraic number theory ⓘ
linked to: Die Theorie der algebraischen Zahlkörper
Die Theorie der algebraischen Zahlkörper → originalTitle → Die Theorie der algebraischen Zahlkörper ⓘ
Die Theorie der algebraischen Zahlkörper → citedAs → Hilberts Zahlbericht ⓘ
linked to: Die Theorie der algebraischen Zahlkörper
Die Theorie der algebraischen Zahlkörper → hasAlternativeName → Hilberts Zahlbericht ⓘ
linked to: Die Theorie der algebraischen Zahlkörper