Teilkörper relativ abelscher Erweiterungen imaginär-quadratischer Zahlkörper, deren Klassenzahl durch Primteiler des Körpergrades teilbar ist.
The 2-Sylow subgroups of the tame kernel of imaginary quadratic fields
1. Introduction. Let F be a number field and the ring of its integers. Many results are known about the group , the tame kernel of F. In particular, many authors have investigated the 2-Sylow subgroup of . As compared with real quadratic fields, the 2-Sylow subgroups of for imaginary quadratic fields F are more difficult to deal with. The objective of this paper is to prove a few theorems on the structure of the 2-Sylow subgroups of for imaginary quadratic fields F. In our Ph.D. thesis (see...
The 4-class ranks of quadratic fields related to the Weyl group algebra.
The 4-rank of for real quadratic fields F
The Chowla-Selberg formula for genera
The class number of quadratic fields and the conjectures of Birch and Swinnerton-Dyer
The class number one problem for the real quadratic fields ℚ(√((an)²+4a))
We solve unconditionally the class number one problem for the 2-parameter family of real quadratic fields ℚ(√d) with square-free discriminant d = (an)²+4a for positive odd integers a and n.
The complete determination of wide Richaud-Degert types which are not 5 modulo 8 with class number one
The Diophantine equation solved via continued fractions.
The Diophantine equation in three quadratic fields.
The distribution of second -class groups on coclass graphs
General concepts and strategies are developed for identifying the isomorphism type of the second -class group , that is the Galois group of the second Hilbert -class field , of a number field , for a prime . The isomorphism type determines the position of on one of the coclass graphs , , in the sense of Eick, Leedham-Green, and Newman. It is shown that, for special types of the base field and of its -class group , the position of is restricted to certain admissible branches of coclass...
The distribution of the fundamental units of real quadratic fields
The existence of certain infinite families of imaginary quadratic fields.
The explicit Hilbert 2-cyclic class field for Q (... -p).
The factorization of an integral matrix into a product of two integral symmetric matrices I
The genera representing a positive integer
The Heegner-Stark-Baker-Deuring-Siegel Theorem.
The imaginary bicyclic biquadratic fields with class-number 1.
The imaginary quadratic fields of class number 4
The integral homology of SL2 and PSL2 of euclidean imaginary quadratic integers.