4 citations · 5 across the 7 of their papers we have counts for
10 papers
Counting Frobenius extensions over local function fields
Jürgen Klüners, Raphael Müller
We determine the asymptotic growth of extensions of local function fields of characteristic p counted by discriminant, where the Galois group is a subgroup of the affine group AGL_…
Enumerating orders in number fields
Markus Kirschmer, Jürgen Klüners
We arrange the orders in an algebraic number field in a tree. This tree can be used to enumerate all orders of bounded index in the maximal order as well as the orders over some gi…
Symmetries of power-free integers in number fields and their shift spaces
Fabian Gundlach, Jürgen Klüners
We describe the group of -linear automorphisms of the ring of integers of a number field that preserve the set of th power-free integers: every such map…
The asymptotics of nilpotent Galois groups
Jürgen Klüners
We prove an upper bound for the asymptotics of counting functions of number fields with nilpotent Galois groups.
Imaginary multiquadratic number fields of exponent and
Jürgen Klüners, Toru Komatsu
In this paper we obtain a complete list of imaginary -quadratic fields with class groups of exponent and under ERH for every positive integer where an -quadratic…
-torsion bounds for the class group of number fields with an -group as Galois group
Jürgen Klüners, Jiuya Wang
We describe the relations among the -torsion conjecture, a conjecture of Malle giving an upper bound for the number of extensions, and the discriminant multiplicity conjectur…
The conductor density of local function fields with abelian Galois group
Jürgen Klüners, Raphael Müller
We give an exact formula for the number of -extensions of local function fields for finite abelian groups up to a conductor bound. As an application we g…
Imaginary quadratic number fields with class groups of small exponent
Andreas-Stephan Elsenhans, Jürgen Klüners, Florin Nicolae
Let be a fundamental discriminant and denote by the exponent of the ideal class group of . Under the assumption that no Siegel…
The Distribution of Number Fields with Wreath Products as Galois Groups
Jürgen Klüners
Let be a wreath product of the form , where is the cyclic group of order 2. Under mild conditions for we determine the asymptotic behavior of the counting…
Asymptotics of number fields and the Cohen--Lenstra heuristics
Jürgen Klüners
We study the asymptotics conjecture of Malle for dihedral groups of order , where is an odd prime. We prove the expected lower bound for those groups. For th…