Zahlbericht
E41777
Zahlbericht is David Hilbert’s influential 1897 report on algebraic number theory that systematically organized and advanced the field.
Statements (46)
| Predicate | Object |
|---|---|
| instanceOf |
mathematical monograph
ⓘ
research report ⓘ |
| alsoKnownAs |
Die Theorie der algebraischen Zahlkörper
ⓘ
surface form:
Hilbert’s Zahlbericht
Die Theorie der algebraischen Zahlkörper ⓘ
surface form:
Hilbert’s report on algebraic number theory
|
| author | David Hilbert ⓘ |
| basedOn |
earlier work of Ernst Kummer
ⓘ
earlier work of Leopold Kronecker ⓘ earlier work of Richard Dedekind ⓘ |
| citedBy | numerous later works in algebraic number theory ⓘ |
| commissionedBy | Deutsche Mathematiker-Vereinigung ⓘ |
| context | written for the German Mathematical Society ⓘ |
| contribution |
clarified the concept of ideals in number fields
ⓘ
influenced the formulation of class field theory ⓘ systematized the theory of algebraic number fields ⓘ unified disparate results in algebraic number theory ⓘ |
| countryOfPublication | Germany ⓘ |
| field | algebraic number theory ⓘ |
| genre | survey and research report ⓘ |
| hasAuthorRole | David Hilbert as sole author ⓘ |
| historicalPeriod | late 19th century mathematics ⓘ |
| impact |
shaped research directions in number theory
ⓘ
standardized notation in algebraic number theory ⓘ |
| influenced |
Emil Artin
ⓘ
Emmy Noether ⓘ Helmut Hasse ⓘ algebraic number theory in the 20th century ⓘ axiomatic approach to number fields ⓘ class field theory ⓘ ideal theory ⓘ |
| language | German ⓘ |
| length | book-length treatise ⓘ |
| organizedBy | axiomatic treatment of number fields ⓘ |
| provides | systematic exposition of algebraic number theory ⓘ |
| publicationYear | 1897 ⓘ |
| publisherType | mathematical society report ⓘ |
| status | classic reference in algebraic number theory ⓘ |
| subjectOf | historical studies in the development of number theory ⓘ |
| title | Die Theorie der algebraischen Zahlkörper ⓘ |
| topic |
Galois extensions of number fields
ⓘ
algebraic number fields ⓘ class numbers ⓘ discriminants ⓘ ideals ⓘ ramification of primes ⓘ units in number fields ⓘ zeta functions of number fields ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.