Examples of using Class field in English and their translations into Danish
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He used these results to simplify theorems in class field theory.
He published Local class field theory in the year that he retired.
In the 20'r years Oakland has the Pontiac brand created by holes in the Class field to fill.
He said that she would work on class field theory which, she wrote.
Concerning class field theory, I confess that I was misled by Hilbert.
Hasse included Takagi's theory in his treatise on class field theory a few years later.
Before Brighton, class field theory was a recondite mystery known only to a few(in Britain, only a very few indeed);
I was very lucky to follow Artin 's course on class field theory together with Chevalley.
In his third undergraduate year Iyanaga was allowed to take part in Takagi 's seminar on class field theory.
He said that she would work on class field theory which, she wrote:… was a great honour.
The theorems of Artin's 1927 paper have became central results in abelian class field theory.
Herbrand also generalised some of the results by these workers in class field theory as well as proving some important new theorems of his own.
This was an exciting period to study at Tokyo University for Takagi had published his famous paper on class field theory in 1920.
While in Göttingen Taussky also edited Artin 's lectures in class field theory(1932),assisted Emmy Noether in her class field theory and Courant with his differential equations course.
The theorems of Artin's 1927 paper have became central results in abelian class field theory. Roquette writes.
Before Brighton, class field theory was a recondite mystery known only to a few(in Britain, only a very few indeed); after Brighton, it was a standard tool of mathematics, available to any professional.
She wrote her thesis on algebraic number fields just as class field theory was being developed.
The density theorem generalised Dirichlet 's theorem on primes in an arithmetical progression giving a method used by Artin in 1927 in his reciprocity law,a result considered the main result of class field theory.
He wrote his most important paper in 1920 which introduced the Takagi class-field theory generalising Hilbert 's class field.
This carefully written monograph presents a self-contained andconcise account of the modern formal group-theoretic approach to local class field theory.
He made major contributions to the inverse problem of Galois theory as well as to class field theory, thereby solving some long outstanding conjectures.
He published Local class field theory in the year that he retired: This carefully written monograph presents a self-contained and concise account of the modern formal group-theoretic approach to local class field theory.
I continued to give courses and organise seminars,in which I used to discuss class field theory with my younger friends.
He extended Heinrich Weber 's work on class field theory writing several important papers and starting work on his famous report on class field theory which included the contributions of Kronecker, Heinrich Weber, Hilbert, Furtwängler and Takagi.
It became the framework of algebraic number theory.Hasse included Takagi's theory in his treatise on class field theory a few years later.
While in Göttingen Taussky also edited Artin 's lectures in class field theory(1932),assisted Emmy Noether in her class field theory and Courant with his differential equations course. Leaving Göttingen in the summer of 1932, she received a letter from Courant before the new academic year started advising her not to return to Göttingen due to unrest at the university caused by the deteriotating political situation.
I was freed from that idea andsuspected that every abelian extension might be a class field if the latter is not limited to the unramified case.
His papers of 1936 and 1941 where he introduced the concepts of adèle andidèle led to major advances in class field theory and also in algebraic geometry.
The most striking application was given by Furtwängler's proof of the principal ideal theorem of class field theory, given one year after the publication of Artin's Reciprocity Law.
His name is not only attached to Arf invariants buthe is also remembered for the Hasse-Arf Theorem which plays an important role in class field theory and in Artin's theory of L-functions.