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Displaying 21 – 36 of 36

Krein-space operators determined by free product algebras induced by primes and graphs

Ilwoo Cho, Palle E. T. Jorgensen (2017)

Special Matrices

In this paper, we introduce certain Krein-space operators induced by free product algebras induced by both primes and directed graphs. We study operator-theoretic properties of such operators by computing free-probabilistic data containing number-theoretic data.

Kronecker-äquivalente Körpererweiterungen und p-Ränge.

Volker Schulze (1981)

Journal für die reine und angewandte Mathematik

Kronecker’s solution of Pell’s equation for CM fields

Riad Masri (2013)

Annales de l’institut Fourier

We generalize Kronecker’s solution of Pell’s equation to CM fields $K$ whose Galois group over $ℚ$ is an elementary abelian 2-group. This is an identity which relates CM values of a certain Hilbert modular function to products of logarithms of fundamental units. When $K$ is imaginary quadratic, these CM values are algebraic numbers related to elliptic units in the Hilbert class field of $K$ . Assuming Schanuel’s conjecture, we show that when $K$ has degree greater than 2 over $ℚ$ these CM values are transcendental....

Kronecker-Weber via Stickelberger

Franz Lemmermeyer (2005)

Journal de Théorie des Nombres de Bordeaux

In this note we give a new proof of the theorem of Kronecker-Weber based on Kummer theory and Stickelberger’s theorem.

K-théorie des anneaux d'entiers de corps de nombres et cohomologie étale.

C. Soulé (1979)

Inventiones mathematicae

K-théorie et corps cyclotomiques

Christophe SOULÈ (1980/1981)

Seminaire de Théorie des Nombres de Bordeaux

K-theory, flat bundles and the Borel classes

Bjørn Jahren (1999)

Fundamenta Mathematicae

Using Hausmann and Vogel's homology sphere bundle interpretation of algebraic K-theory, we construct K-theory invariants by a theory of characteristic classes for flat bundles. It is shown that the Borel classes are detected this way, as well as the rational K-theory of integer group rings of finite groups.