Zahlbericht

E41777

Zahlbericht is David Hilbert’s influential 1897 report on algebraic number theory that systematically organized and advanced the field.

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Generate an image of Zahlbericht (Zahlbericht is David Hilbert’s influential 1897 report on algebraic number theory that systematically organized and advanced the field.)

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Zahlbericht canonical 2

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Statements (46)

Predicate Object
instanceOf mathematical monograph ⓘ
research report ⓘ
alsoKnownAs Hilbert’s Zahlbericht ⓘ
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 ⓘ

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