Fröhlich's and Chinburg's conjectures in the factorisability defect class group.
Führer, Diskriminante und Verzweigungskörper relativ-Abelscher Zahlkörper.
Function fields of certain arithmetic curves and application
Function fields with 3-rank at least 2
Function fields with class number indivisible by a prime ℓ
Functional equation for partial zeta functions twisted by additive characters
Functional equation satisfied by certain -functions
Functional equations for Hurwitz series and partial zeta functions of orders.
Functional equations for L-functions of arithmetic orders.
Functional equations for zeta functions of non-Gorenstein orders in global fields.
Functoriality and the Inverse Galois problem II: groups of type and
This paper contains an application of Langlands’ functoriality principle to the following classical problem: which finite groups, in particular which simple groups appear as Galois groups over ? Let be a prime and a positive integer. We show that that the finite simple groups of Lie type if and appear as Galois groups over , for some divisible by . In particular, for each of the two Lie types and fixed we construct infinitely many Galois groups but we do not have a precise control...
Fundamental units for orders in certain cubic number fields.
Fundamental units for orders of unit rank 1 and generated by a unit
Let ε be an algebraic unit for which the rank of the group of units of the order ℤ[ε] is equal to 1. Assume that ε is not a complex root of unity. It is natural to wonder whether ε is a fundamental unit of this order. It turns out that the answer is in general yes, and that a fundamental unit of this order can be explicitly given (as an explicit polynomial in ε) in the rare cases when the answer is no. This paper is a self-contained exposition of the solution to this problem, solution which was...
Fundamental units from the perperiod of a generalized Jacobi-Perron algorithm.
Fundamental units in a family of cubic fields
Let be the maximal order of the cubic field generated by a zero of for , . We prove that is a fundamental pair of units for , if
Fundamental units in a parametric family of not totally real quintic number fields
In this article we compute fundamental units for a family of number fields generated by a parametric polynomial of degree 5 with signature and Galois group .
Funktionenkörper mit großer Automorphismengruppe.
Funktionenkörper mit isomorphen absoluten Galoisgruppen.
Further applications of Turán's methods to the distribution of prime ideals in ideal classes mod f
Further results on supernumary polylogarithmic ladders.