Jürgen Klüners

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All published works

Action	Title	Year	Authors
+ PDF Chat	Enumerating orders in number fields	2024	Markus Kirschmer Jürgen Klüners
+	Chow groups of one-dimensional noetherian domains	2024	Markus Kirschmer Jürgen Klüners
+ PDF Chat	Symmetries of power-free integers in number fields and their shift spaces	2024	Fabian Gundlach Jürgen Klüners
+ PDF Chat	Idélic Approach in Enumerating Heisenberg Extensions	2023	Jürgen Klüners Jiuya Wang
+ PDF Chat	The asymptotics of nilpotent Galois groups	2022	Jürgen Klüners
+	Chow groups of orders in number fields	2022	Markus Kirschmer Jürgen Klüners
+	ℓ-torsion bounds for the class group of number fields with an ℓ-group as Galois group	2021	Jürgen Klüners Jiuya Wang
+ PDF Chat	Imaginary multiquadratic number fields with class group of exponent $3$ and $5$	2020	Jürgen Klüners Toru Komatsu
+ PDF Chat	Imaginary multiquadratic number fields of exponent $3$ and $5$	2020	Jürgen Klüners Toru Komatsu
+ PDF Chat	Imaginary quadratic number fields with class groups of small exponent	2020	Andreas-Stephan Elsenhans Jürgen Klüners Florin Nicolae
+	$\ell$-torsion bounds for the class group of number fields with an $\ell$-group as Galois group	2020	Jürgen Klüners Jiuya Wang
+	Imaginary multiquadratic number fields of exponent $3$ and $5$	2020	Jürgen Klüners Toru Komatsu
+	The asymptotics of nilpotent Galois groups	2020	Jürgen Klüners
+	The conductor density of local function fields with abelian Galois group	2019	Jürgen Klüners Raphael Müller
+	The conductor density of local function fields	2019	Jürgen Klüners Raphael Müller
+	The conductor density of local function fields with abelian Galois group	2019	Jürgen Klüners Raphael Müller
+	Computing quadratic subfields of number fields	2019	Andreas-Stephan Elsenhans Jürgen Klüners
+	The conductor density of local function fields with abelian Galois group	2019	Jürgen Klüners Raphael Müller
+	Computing subfields of number fields and applications to Galois group computations	2018	Andreas-Stephan Elsenhans Jürgen Klüners
+	Imaginary quadratic number fields with class groups of small exponent	2018	Andreas-Stephan Elsenhans Jürgen Klüners Florin Nicolae
+	Imaginary quadratic number fields with class groups of small exponent	2018	Andreas-Stephan Elsenhans Jürgen Klüners Florin Nicolae
+	Computing subfields of number fields and applications to Galois group computations	2016	Andreas-Stephan Elsenhans Jürgen Klüners
+ PDF Chat	Are number fields determined by Artin L-functions?	2016	Jürgen Klüners Florin Nicolae
+	Computing subfields of number fields and applications to Galois group computations	2016	Andreas-Stephan Elsenhans Jürgen Klüners
+ PDF Chat	Computation of Galois groups of rational polynomials	2014	Claus Fieker Jürgen Klüners
+	Computational Galois Theory: Invariants and Computations over Q	2012	Claus Fieker Jürgen Klüners
+ PDF Chat	THE DISTRIBUTION OF NUMBER FIELDS WITH WREATH PRODUCTS AS GALOIS GROUPS	2011	Jürgen Klüners
+	The Distribution of Number Fields with Wreath Products as Galois Groups	2011	Jürgen Klüners
+	The Distribution of Number Fields with Wreath Products as Galois Groups	2011	Jürgen Klüners
+	Weighted Distribution of the 4-rank of Class Groups and Applications	2010	Étienne Fouvry Jürgen Klüners
+ PDF Chat	On the negative Pell equation	2010	Étienne Fouvry Jürgen Klüners
+ PDF Chat	On the Spiegelungssatz for the 4-rank	2010	Étienne Fouvry Jürgen Klüners
+	The parity of the period of the continued fraction of d	2010	Étienne Fouvry Jürgen Klüners
+	Algebra & Number Theory	2010	Étienne Fouvry Jürgen Klüners
+ PDF Chat	Factoring polynomials over global fields	2009	Karim Belabas Mark van Hoeij Jürgen Klüners Allan Steel
+	On the 4-rank of class groups of quadratic number fields	2006	Étienne Fouvry Jürgen Klüners
+	Cohen–Lenstra Heuristics of Quadratic Number Fields	2006	Étienne Fouvry Jürgen Klüners
+ PDF Chat	Asymptotics of number fields and the Cohen–Lenstra heuristics	2006	Jürgen Klüners
+ PDF Chat	The number of S<sub>4</sub>-fields with given discriminant	2006	Jürgen Klüners
+	Computing residue class rings and Picard groups of orders	2005	Jürgen Klüners Sebastian Pauli
+ PDF Chat	A counter example to Malle's conjecture on the asymptotics of discriminants	2005	Jürgen Klüners
+	Asymptotics of number fields and the Cohen--Lenstra heuristics	2005	Jürgen Klüners
+	Counting nilpotent Galois extensions	2004	Jürgen Klüners G. Malle
+	Minimal discriminants for fields with small Frobenius groups as Galois groups	2003	Claus Fieker Jürgen Klüners
+ PDF Chat	Algorithms for Function Fields	2002	Jürgen Klüners
+ PDF Chat	A Database for Field Extensions of the Rationals	2001	Jürgen Klüners Gunter Malle
+	A Polynomial with Galois GroupSL2(11)	2000	Jürgen Klüners
+	Explicit Galois Realization of Transitive Groups of Degree up to 15	2000	Jürgen Klüners Gunter Malle
+	Galois Group Computation for Rational Polynomials	2000	Katharina Geißler Jürgen Klüners
+	Computing Local Artin Maps, and Solvability of Norm Equations	2000	Vincenzo Acciaro Jürgen Klüners
+	On Polynomial Decompositions	1999	Jürgen Klüners
+	Computing automorphisms of abelian number fields	1999	Vincenzo Acciaro Jürgen Klüners
+ PDF Chat	On computing subfields. A detailed description of the algorithm	1998	Jürgen Klüners
+	On Computing Subfields	1997	Jürgen Klüners Michael Pohst
+	KANT V4	1997	Mario Daberkow Claus Fieker Jürgen Klüners Michael Pohst Katherine Roegner M. Schörnig K. Wildanger

Common Coauthors

Coauthor	Papers Together
Andreas-Stephan Elsenhans	7
Étienne Fouvry	7
Claus Fieker	4
Florin Nicolae	4
Jiuya Wang	3
Markus Kirschmer	3
Raphael Müller	3
Vincenzo Acciaro	2
Michael Pohst	2
Gunter Malle	2
Toru Komatsu	2
Toru Komatsu	1
Raphael Müller	1
G. Malle	1
Katherine Roegner	1
Allan Steel	1
Mark van Hoeij	1
Fabian Gundlach	1
Sebastian Pauli	1
K. Wildanger	1
M. Schörnig	1
Mario Daberkow	1
Katharina Geißler	1
Karim Belabas	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	On the Distribution of Galois Groups	2002	Gunter Malle	10
+ PDF Chat	Elementary and Analytic Theory of Algebraic Numbers	1991	Peter Shiu Władysław Narkiewicz	9
+	A Course in Computational Algebraic Number Theory	1993	Henri Cohen	9
+	KANT V4	1997	Mario Daberkow Claus Fieker Jürgen Klüners Michael Pohst Katherine Roegner M. Schörnig K. Wildanger	9
+	Counting nilpotent Galois extensions	2004	Jürgen Klüners G. Malle	8
+ PDF Chat	On the Distribution of Galois Groups, II	2004	Gunter Malle	8
+ PDF Chat	A counter example to Malle's conjecture on the asymptotics of discriminants	2005	Jürgen Klüners	8
+ PDF Chat	Algebraic number theory	1999	Kazuya Katô Nobushige Kurokawa Takeshi Saito	7
+ PDF Chat	Heuristics on class groups of number fields	1984	Henri Cohen H. W. Lenstra	7
+	On the density of discriminants of cubic fields. II	1971	H. Davenport H. Heilbronn	7
+	Explicit Galois Realization of Transitive Groups of Degree up to 15	2000	Jürgen Klüners Gunter Malle	6
+	Arithmetischer Beweis des Satzes über die Anzahl der durch vier teilbaren Invarianten der absoluten Klassengruppe im quadratischen Zahlkörper.	1934	L. Rédei	6
+ PDF Chat	On computing subfields. A detailed description of the algorithm	1998	Jürgen Klüners	6
+	The 4-class ranks of quadratic fields	1984	Frank Gerth	6
+ PDF Chat	The size of Selmer groups for the congruent number problem	1993	D. R. Heath‐Brown	6
+	On Computing Subfields	1997	Jürgen Klüners Michael Pohst	6
+ PDF Chat	Factoring polynomials with rational coefficients	1982	A. K. Lenstra H. W. Lenstra László Lovász	6
+ PDF Chat	None	2002	Henri Cohen Francisco Diaz y Diaz Michel Olivier	6
+ PDF Chat	The size of Selmer groups for the congruent number problem, II	1994	D. R. Heath‐Brown	5
+	Computing automorphisms of abelian number fields	1999	Vincenzo Acciaro Jürgen Klüners	5
+	Advanced Topics in Computational Number Theory	2011	Henri Cohen	5
+	Distribution of Discriminants of Abelian Extensions	1989	D. J. Wright	5
+	Analytic Number Theory	2004	Henryk Iwaniec Emmanuel Kowalski	4
+	Analytic Number Theory	2004	Henryk Iwaniec Emmanuel Kowalski	4
+	Cohen–Lenstra Heuristics of Quadratic Number Fields	2006	Étienne Fouvry Jürgen Klüners	4
+ PDF Chat	The weak form of Malle’s conjecture and solvable groups	2020	Brandon Alberts	4
+ PDF Chat	Explicit bounds for primes in residue classes	1996	Eric Bach Jonathan Sorenson	4
+	The Magma Algebra System I: The User Language	1997	Wieb Bosma John Cannon Catherine Playoust	4
+	Permutation Groups	1996	Brian Mortimer John D. Dixon	4
+	Algebraic Number Theory	1994	Serge Lang	4
+	Factoring Polynomials over Algebraic Number Fields	1985	Susan Landau	4
+ PDF Chat	On Transitive Permutation Groups	1998	John H. Conway Alexander Hulpke John McKay	4
+ PDF Chat	The Number of Real Quadratic Fields Having Units of Negative Norm	1993	Peter Stevenhagen	4
+	On the 4-rank of class groups of quadratic number fields	2006	Étienne Fouvry Jürgen Klüners	4
+ PDF Chat	Computing the multiplicative group of residue class rings	2003	Florian Heß Sebastian Pauli Michael Pohst	4
+ PDF Chat	A mean value estimate for real character sums	1995	D. R. Heath‐Brown	3
+ PDF Chat	On the negative Pell equation	2010	Étienne Fouvry Jürgen Klüners	3
+ PDF Chat	Algorithmic Algebraic Number Theory	1989	Michael Pohst Hans Zassenhaus	3
+	Inverse Galois Theory	1999	Gunter Malle B. Heinrich Matzat	3
+	Elementary and Analytic Theory of Algebraic Numbers	2004	Władysław Narkiewicz	3
+	On the density of discriminants of quartic fields.	1980	Andrew Marc Baily	3
+	Einführung in die analytische Zahlentheorie	1995	Jörg Brüdern	3
+	Solvability by radicals is in polynomial time	1985	Susan Landau Gary L. Miller	3
+	On the computation of resolvents and Galois groups	1983	Kurt Girstmair	3
+	Reflection Principles and Bounds for Class Group Torsion	2007	Jordan S. Ellenberg Akshay Venkatesh	3
+ PDF Chat	Computing subfields in algebraic number fields	1990	John D. Dixon	3
+ PDF Chat	Computing class fields via the Artin map	2000	Claus Fieker	3
+	Galois Group Computation for Rational Polynomials	2000	Katharina Geißler Jürgen Klüners	3
+ PDF Chat	On the exponent of the ideal class groups of complex quadratic fields.	1972	David W. Boyd Hershy Kisilevsky	3
+ PDF Chat	The density of discriminants of quartic rings and fields	2005	Manjul Bhargava	3