Einheitenberechnung in kubischen Körpern mittels des Jacobi-Perronschen Algorithmus aus der Rechenanlage.
Enumerating quartic dihedral extensions of with signatures
In a previous paper, we have given asymptotic formulas for the number of isomorphism classes of -extensions with discriminant up to a given bound, both when the signature of the extensions is or is not specified. We have also given very efficient exact formulas for this number when the signature is not specified. The aim of this paper is to give such exact formulas when the signature is specified. The problem is complicated by the fact that the ray class characters which appear are not all genus characters....
Erratum
Erratum “On the computation of quadratic -class groups”
Exceptional units and numbers of small Mahler measure.
Experimental indications of three-dimensional Galois representations from the cohomology of .
Explicit construction of integral bases of radical function fields
We give an explicit construction of an integral basis for a radical function field , where , under the assumptions and . The field discriminant of is also computed. We explain why these questions are substantially easier than the corresponding ones in number fields. Some formulae for the -signatures of a radical function field are also discussed in this paper.