Kriterien für n-te Potenzreste.
Kriterien in der Theorie der Gleichverteilung.
Kronecker modules and reductions of a pair of bilinear forms
We give a short overview on the subject of canonical reduction of a pair of bilinear forms, each being symmetric or alternating, making use of the classification of pairs of linear mappings between vector spaces given by J. Dieudonné.
Kronecker-äquivalente Körpererweiterungen und p-Ränge.
Kronecker’s solution of Pell’s equation for CM fields
We generalize Kronecker’s solution of Pell’s equation to CM fields whose Galois group over 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 is imaginary quadratic, these CM values are algebraic numbers related to elliptic units in the Hilbert class field of . Assuming Schanuel’s conjecture, we show that when has degree greater than 2 over these CM values are transcendental....
Kronecker-type sequences and nonarchimedean diophantine approximations
Kronecker-Weber via Stickelberger
In this note we give a new proof of the theorem of Kronecker-Weber based on Kummer theory and Stickelberger’s theorem.
K-théorie algébrique et invariants des formes quadratiques
K-théorie des anneaux d'entiers de corps de nombres et cohomologie étale.
K-théorie et corps cyclotomiques
K-theory, flat bundles and the Borel classes
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.
Kubert-lang units and elliptic curves without complex multiplication
Kummer congruences for expressions involving generalized Bernoulli polynomials
We illustrate how a particular expression, involving the generalized Bernoulli polynomials, satisfies systems of congruence relations if and only if a similar expression, involving the generalized Bernoulli numbers, satisfies the same congruence relations. These congruence relations include the Kummer congruences, and recent extensions of the Kummer congruences provided by Gunaratne.
Kummer congruences for the coefficients of Hurwitz series
Kummer congruences for values of Bernoulli and Euler polynomials
Kummer theory and Galois module structure in global function fields.
Kummer theory of abelian varieties and reductions of Mordell-Weil groups
Kummer type congruences and Stickelberger subideals
Kummer type system of congruences and bases of Stickelberger subideals
Kummer's calculation of Lp (1,...).