Add to ORKGAlmost 20 years ago, W. Narkiewicz posed the problem to give an arithmetical characterization of the ideal class group of an algebraic number field ([13, problem 32]). In the meantime there are various answers to this question if the ideal class group has a special form. (cf. [4], [5], [12] and the literature cited there)
AbstractWe prove a congruence modulo a certain power of 2 for the class numbers of the quadratic fie...
AbstractLet K be an unramified abelian extension of a number field F with Galois group G. We conside...
The following thesis contains an extensive account of the theory of class groups. First the form cla...
Abstract. Divisibility properties of class numbers is very important to know the structure of ideal ...
The ideal class group problem is one of the very interesting problems in algebraic number theory. In...
The ideal class group problem is one of the very interesting problems in algebraic number theory. In...
When we form a finite algebraic extension of Q, we are not guaranteed that the ring of integers, O, ...
AbstractThe structure of ideal class groups of number fields is investigated in the following three ...
AbstractStarting from a base field with properties similar to those of the rational numbers, the str...
AbstractStarting from a base field with properties similar to those of the rational numbers, the str...
this paper. After some preliminaries in Section 3, where we discuss arithmetical properties of eleme...
AbstractTwo algebraic number fields are arithmetically equivalent when their zeta functions coincide...
AbstractWe prove that any finite abelian group is the ideal class group of the ring ofS-integers of ...
AbstractThe structure of ideal class groups of number fields is investigated in the following three ...
For a given odd integer n>1, we provide some families of imaginary quadratic number fields of the f...
AbstractWe prove a congruence modulo a certain power of 2 for the class numbers of the quadratic fie...
AbstractLet K be an unramified abelian extension of a number field F with Galois group G. We conside...
The following thesis contains an extensive account of the theory of class groups. First the form cla...
Abstract. Divisibility properties of class numbers is very important to know the structure of ideal ...
The ideal class group problem is one of the very interesting problems in algebraic number theory. In...
The ideal class group problem is one of the very interesting problems in algebraic number theory. In...
When we form a finite algebraic extension of Q, we are not guaranteed that the ring of integers, O, ...
AbstractThe structure of ideal class groups of number fields is investigated in the following three ...
AbstractStarting from a base field with properties similar to those of the rational numbers, the str...
AbstractStarting from a base field with properties similar to those of the rational numbers, the str...
this paper. After some preliminaries in Section 3, where we discuss arithmetical properties of eleme...
AbstractTwo algebraic number fields are arithmetically equivalent when their zeta functions coincide...
AbstractWe prove that any finite abelian group is the ideal class group of the ring ofS-integers of ...
AbstractThe structure of ideal class groups of number fields is investigated in the following three ...
For a given odd integer n>1, we provide some families of imaginary quadratic number fields of the f...
AbstractWe prove a congruence modulo a certain power of 2 for the class numbers of the quadratic fie...
AbstractLet K be an unramified abelian extension of a number field F with Galois group G. We conside...
The following thesis contains an extensive account of the theory of class groups. First the form cla...