Eksempler på brug af Number fields på Engelsk og deres oversættelser til Dansk
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Tables and results on cubic number fields by Daniel A. Mayer.
Honda's next three papers all considered the problem of class numbers of algebraic number fields.
Further papers by Remak on finite algebraic number fields with unit defect appeared in 1952 and 1954.
Continuing his research,he studied arithmetic in the ring of integers in algebraic number fields.
She wrote her thesis on algebraic number fields just as class field theory was being developed.
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Herbrand also worked on field theory considering abelian extensions of algebraic number fields.
There are 40 user-definable string fields, 10 number fields, and five date fields available.
He directed Ramanujam to work on some generalisations of the Waring problem to algebraic number fields.
He became interested in Artin 's early work which was on quadratic number fields, in particular the analytic and arithmetic theory.
He also published results on algebras which were fundamental in the study of algebraic number fields.
The code also checks for typing mistakes andcan verify the text and number fields for string length and the presence of special characters.
Hooley has proved it under the condition that a strong form of Riemann 's hypothesis(for number fields) is valid.
He studied rings of integers in algebraic number fields, giving a divisibility theory for such rings developing ideas which had been introduced by Kummer.
He studied the Riemann zeta function, andits extension to arbitrary number fields, discovering important results.
One consequence of his simpler proof was that it enabled him to obtain results concerning the distribution of prime ideals in algebraic number fields.
The first of the two papers proved a conjecture of Gauss on imaginary quadratic number fields using ideas of Hecke, Deuring and Mordell.
Rademacher's early arithmetical work dealt with applications of Brun's sieve method andwith the Goldbach problem in algebraic number fields.
Ore's early work was on algebraic number fields where he was interested in the problem of decomposing the ideal generated by a prime integer into prime ideals.
Hensel's work followed that of his doctoral supervisor Kronecker in the development of arithmetic in algebraic number fields.
On his return to Tokyo in 1903 Takagi proved a conjecture on abelian extensions of imaginary number fields made by Kronecker. Kronecker described this conjecture as.
In these two books he showed the power of applying p-adic methods to he theory of divisibility in algebraic number fields.
He studied Takagi 's famous 1920 paper on extensions of algebraic number fields and also a paper by Hasse written in 1926 to give more details of Takagi 's results.
Rademacher also wrote important papers on Dedekind sums andinvestigated many problems relating to algebraic number fields.
Hilbert contributed to many branches of mathematics, including invariants,algebraic number fields, functional analysis, integral equations, mathematical physics, and the calculus of variations.
On his return to Tokyo in 1903 Takagi proved a conjecture on abelian extensions of imaginary number fields made by Kronecker.
In the late 1960s Iwasawa made a conjecture for algebraic number fields which, in some sense, was the analogue of the relationship which Weil had found between the zeta function and the divisor class group of an algebraic function field. .
In the joint paper with Linfoot, Heilbronn proved that there are at most ten quadratic number fields Q(√-d) of class number one.
The code also checks for typing mistakes andcan verify the text and number fields for string length and the presence of special characters. Another difference from classic phishing attacks is the fact that usually short-term scams are hosted on free services.
Dedekind's study of Dirichlet 's work did, in fact, lead to his own study of algebraic number fields, as well as to his introduction of ideals.
On 9 June 1900 he wrote a letter from Paris, where he was studying,to Hilbert giving an outline of his ideas for proving the prime ideal theorem for algebraic number fields.