Examples of using Number fields in English and their translations into Danish
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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
can verify the text and number fields for string length
in 1921/23 made contributions to additive questions such as Waring type problems for algebraic number fields.
algebraic number fields, functional analysis,
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.
algebraic number fields by Emmy Noether;
particularly in algebraic number fields, is of major importance.
Investigations on the class-groups of self-conjugate algebraic number fields have led the author to consider the problem in what manner a given finite group G of order h can be represented as a group of automorphisms of an Abelian group A of order n.
The first of the two papers proved a conjecture of Gauss on imaginary quadratic number fields using ideas of Hecke, Deuring and Mordell. Heilbronn proved the conjecture which asserts that the class number of the quadratic number field Q(√-d) tends to infinity as d tends to infinity.
the Ankeny- Artin-Chowla theorem on the class number of real quadratic number fields(1952); the Chowla- Mordell theorem on Gauss sums(1962);
ideal class groups of number fields appeared in the same year as did Gauss sums
since then many mathematicians have tried to prove it. Hooley has proved it under the condition that a strong form of Riemann 's hypothesis(for number fields) is valid.
previously inaccessible information about the arithmetic of a finite extension F of Q can be obtained by studying coarser questions about the arithmetic of certain infinite Galois towers of number fields lying above F.
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.
Fixed a bug with a number field not detecting a modified value Bug 313304.
A number field or currency amount field is required here.
Yes. The Patient Info form has an Accession Number field.
He was motivated by the analogies of the number field case and the function field case,
proving an affine curve of genus at least 1 over a number field has only a finite number of integral points in 1929.