Zobrazeno 1 - 10
of 197
pro vyhledávání: '"Klüners A"'
Autor:
Kirschmer, Markus, Klüners, Jürgen
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 given order.
Externí odkaz:
http://arxiv.org/abs/2411.08568
Autor:
Gundlach, Fabian, Klüners, Jürgen
We describe the group of $\mathbb Z$-linear automorphisms of the ring of integers of a number field $K$ that preserve the set $V_{K,k}$ of $k$th power-free integers: every such map is the composition of a field automorphism and the multiplication by
Externí odkaz:
http://arxiv.org/abs/2407.08438
Autor:
Kirschmer, Markus, Klüners, Jürgen
We discuss various connections between ideal classes, divisors, Picard and Chow groups of one-dimensional noetherian domains. As a result of these, we give a method to compute Chow groups of orders in global fields and show that there are infinitely
Externí odkaz:
http://arxiv.org/abs/2208.14688
Autor:
Klüners, Jürgen
We prove an upper bound for the asymptotics of counting functions of number fields with nilpotent Galois groups.
Externí odkaz:
http://arxiv.org/abs/2011.04325
Autor:
Klüners, Jürgen, Komatsu, Toru
In this paper we obtain a complete list of imaginary $n$-quadratic fields with class groups of exponent $3$ and $5$ under ERH for every positive integer $n$ where an $n$-quadratic field is a number field of degree $2^n$ represented as the composite o
Externí odkaz:
http://arxiv.org/abs/2004.03308
Autor:
Klüners, Jürgen, Wang, Jiuya
We describe the relations among the $\ell$-torsion conjecture, a conjecture of Malle giving an upper bound for the number of extensions, and the discriminant multiplicity conjecture. We prove that the latter two conjectures are equivalent in some sen
Externí odkaz:
http://arxiv.org/abs/2003.12161
Given a number field, it is an important question in algorithmic number theory to determine all its subfields. If the search is restricted to abelian subfields, one can try to determine them by using class field theory. For this, it is necessary to k
Externí odkaz:
http://arxiv.org/abs/1907.13383
Autor:
Klüners, Jürgen, Müller, Raphael
We give an exact formula for the number of $G$-extensions of local function fields $\mathbb{F}_q((t))$ for finite abelian groups $G$ up to a conductor bound. As an application we give a lower bound for the corresponding counting problem by discrimina
Externí odkaz:
http://arxiv.org/abs/1904.02573
Autor:
Schmalz, Franziska, Fischer, Janett, Innes, Hamish, Buch, Stephan, Möller, Christine, Matz-Soja, Madlen, von Schönfels, Witigo, Krämer, Benjamin, Langhans, Bettina, Klüners, Alexandra, Soyka, Michael, Stickel, Felix, Nattermann, Jacob, Strassburg, Christian P., Berg, Thomas, Lutz, Philipp, Nischalke, Hans Dieter
Publikováno v:
In JHEP Reports April 2023 5(4)
Let $D<0$ be a fundamental discriminant and denote by $E(D)$ the exponent of the ideal class group $\text{Cl}(D)$ of $K={\mathbb Q}(\sqrt{D})$. Under the assumption that no Siegel zeros exist we compute all such $D$ with $E(D)$ is a divisor of $8$. W
Externí odkaz:
http://arxiv.org/abs/1803.02056