Jürgen Klüners

Computeralgebra und Zahlentheorie
juergen.klueners@uni-paderborn.de
ID
21202

41 Publications

Mark all

[41]
2023 | Journal Article | LibreCat-ID: 49372
Idélic Approach in Enumerating Heisenberg Extensions
J. Klüners, J. Wang, La Matematica (2023).
LibreCat | DOI
 
[40]
2022 | Preprint | LibreCat-ID: 42647
Chow groups of orders in number fields
M. Kirschmer, J. Klüners, ArXiv:2208.14688 (2022).
LibreCat | arXiv
 
[39]
2022 | Journal Article | LibreCat-ID: 34839
ℓ-torsion bounds for the class group of number fields with an ℓ-group as Galois group
J. Klüners, J. Wang, Proceedings of the American Mathematical Society 150 (2022) 2793–2805.
LibreCat | DOI | arXiv
 
[38]
2022 | Journal Article | LibreCat-ID: 34835
The asymptotics of nilpotent Galois groups
J. Klüners, Acta Arithmetica 204 (2022) 165–184.
LibreCat | DOI | arXiv
 
[37]
2021 | Journal Article | LibreCat-ID: 34840
Imaginary multiquadratic number fields with class group of exponent $3$ and $5$
J. Klüners, T. Komatsu, Mathematics of Computation 90 (2021) 1483–1497.
LibreCat | DOI | arXiv
 
[36]
2020 | Journal Article | LibreCat-ID: 34842
Imaginary quadratic number fields with class groups of small exponent
A.-S. Elsenhans, J. Klüners, F. Nicolae, Acta Arithmetica 193 (2020) 217–233.
LibreCat | DOI | arXiv
 
[35]
2020 | Journal Article | LibreCat-ID: 34841
The conductor density of local function fields with abelian Galois group
J. Klüners, R. Müller, Journal of Number Theory 212 (2020) 311–322.
LibreCat | DOI | arXiv
 
[34]
2019 | Preprint | LibreCat-ID: 42646
Computing quadratic subfields of number fields
A.-S. Elsenhans, J. Klüners, ArXiv:1907.13383 (2019).
LibreCat | arXiv
 
[33]
2018 | Journal Article | LibreCat-ID: 34843
Computing subfields of number fields and applications to Galois group computations
A.-S. Elsenhans, J. Klüners, Journal of Symbolic Computation 93 (2018) 1–20.
LibreCat | DOI | arXiv
 
[32]
2016 | Journal Article | LibreCat-ID: 34844
Are number fields determined by Artin L-functions?
J. Klüners, F. Nicolae, Journal of Number Theory 167 (2016) 161–168.
LibreCat | DOI | arXiv
 
[31]
2014 | Journal Article | LibreCat-ID: 34845
Computation of Galois groups of rational polynomials
C. Fieker, J. Klüners, LMS Journal of Computation and Mathematics 17 (2014) 141–158.
LibreCat | DOI | arXiv
 
[30]
2012 | Journal Article | LibreCat-ID: 34847
The Distribution of Number Fields with Wreath Products as Galois Groups
J. Klüners, International Journal of Number Theory 08 (2012) 845–858.
LibreCat | DOI | arXiv
 
[29]
2011 | Journal Article | LibreCat-ID: 34885
Weighted Distribution of the 4-rank of Class Groups and Applications
É. Fouvry, J. Klüners, International Mathematics Research Notices 2011 (2011) 3618–3656.
LibreCat | DOI
 
[28]
2011 | Journal Article | LibreCat-ID: 34846
Generating subfields
M. van Hoeij, J. Klüners, A. Novocin, Journal of Symbolic Computation 52 (2011) 17–34.
LibreCat | DOI
 
[27]
2010 | Journal Article | LibreCat-ID: 34886
On the negative Pell equation
É. Fouvry, J. Klüners, Annals of Mathematics 172 (2010) 2035–2104.
LibreCat | DOI
 
[26]
2010 | Journal Article | LibreCat-ID: 34888
The parity of the period of the continued fraction of d
É. Fouvry, J. Klüners, Proceedings of the London Mathematical Society 101 (2010) 337–391.
LibreCat | Files available | DOI
 
[25]
2010 | Journal Article | LibreCat-ID: 34887
On the Spiegelungssatz for the 4-rank
É. Fouvry, J. Klüners, Algebra & Number Theory 4 (2010) 493–508.
LibreCat | DOI
 
[24]
2009 | Journal Article | LibreCat-ID: 34889
Factoring polynomials over global fields
K. Belabas, M. van Hoeij, J. Klüners, A. Steel, Journal de Théorie Des Nombres de Bordeaux 21 (2009) 15–39.
LibreCat | DOI | arXiv
 
[23]
2009 | Book Chapter | LibreCat-ID: 35959
The van Hoeij Algorithm for Factoring Polynomials
J. Klüners, in: The LLL Algorithm, Springer Berlin Heidelberg, Berlin, Heidelberg, 2009.
LibreCat | Files available | DOI
 
[22]
2006 | Journal Article | LibreCat-ID: 34895
Counting nilpotent Galois extensions
J. Klüners, G. Malle, Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal) 2004 (2006) 1–26.
LibreCat | DOI | arXiv
 
[21]
2006 | Journal Article | LibreCat-ID: 34891
Asymptotics of number fields and the Cohen–Lenstra heuristics
J. Klüners, Journal de Théorie Des Nombres de Bordeaux 18 (2006) 607–615.
LibreCat | DOI | arXiv
 
[20]
2006 | Journal Article | LibreCat-ID: 34890
On the 4-rank of class groups of quadratic number fields
É. Fouvry, J. Klüners, Inventiones Mathematicae 167 (2006) 455–513.
LibreCat | Files available | DOI
 
[19]
2006 | Book Chapter | LibreCat-ID: 35958
Cohen–Lenstra Heuristics of Quadratic Number Fields
É. Fouvry, J. Klüners, in: Lecture Notes in Computer Science, Springer Berlin Heidelberg, Berlin, Heidelberg, 2006.
LibreCat | Files available | DOI
 
[18]
2006 | Journal Article | LibreCat-ID: 34892
The number of S₄-fields with given discriminant
J. Klüners, Acta Arithmetica 122 (2006) 185–194.
LibreCat | DOI | arXiv
 
[17]
2005 | Journal Article | LibreCat-ID: 34894
A counter example to Malle's conjecture on the asymptotics of discriminants
J. Klüners, Comptes Rendus Mathematique 340 (2005) 411–414.
LibreCat | DOI | arXiv
 
[16]
2005 | Journal Article | LibreCat-ID: 34893
Computing residue class rings and Picard groups of orders
J. Klüners, S. Pauli, Journal of Algebra 292 (2005) 47–64.
LibreCat | DOI
 
[15]
2005 | Misc | LibreCat-ID: 42807
Über die Asymptotik von Zahlkörpern mit vorgegebener Galoisgruppe (Habilitation)
J. Klüners, Über die Asymptotik von Zahlkörpern mit vorgegebener Galoisgruppe (Habilitation), Shaker Verlag, Universiät Kassel, 2005.
LibreCat
 
[14]
2003 | Journal Article | LibreCat-ID: 34896
Minimal discriminants for fields with small Frobenius groups as Galois groups
C. Fieker, J. Klüners, Journal of Number Theory 99 (2003) 318–337.
LibreCat | DOI
 
[13]
2002 | Journal Article | LibreCat-ID: 35954
Algorithms for function fields
J. Klüners, Experiment. Math. 11 (2002) 171–181.
LibreCat | Files available
 
[12]
2001 | Journal Article | LibreCat-ID: 34897
A Database for Field Extensions of the Rationals
J. Klüners, G. Malle, LMS Journal of Computation and Mathematics 4 (2001) 182–196.
LibreCat | DOI | arXiv
 
[11]
2000 | Journal Article | LibreCat-ID: 34900
Galois Group Computation for Rational Polynomials
K. Geissler, J. Klüners, Journal of Symbolic Computation 30 (2000) 653–674.
LibreCat | DOI
 
[10]
2000 | Journal Article | LibreCat-ID: 34901
Computing Local Artin Maps, and Solvability of Norm Equations
V. Acciaro, J. Klüners, Journal of Symbolic Computation 30 (2000) 239–252.
LibreCat | DOI
 
[9]
2000 | Journal Article | LibreCat-ID: 34899
Explicit Galois Realization of Transitive Groups of Degree up to 15
J. Klüners, G. Malle, Journal of Symbolic Computation 30 (2000) 675–716.
LibreCat | DOI
 
[8]
2000 | Journal Article | LibreCat-ID: 34898
A Polynomial with Galois GroupSL2(11)
J. Klüners, Journal of Symbolic Computation 30 (2000) 733–737.
LibreCat | DOI
 
[7]
1999 | Journal Article | LibreCat-ID: 34902
On Polynomial Decompositions
J. Klüners, Journal of Symbolic Computation 27 (1999) 261–269.
LibreCat | DOI
 
[6]
1999 | Journal Article | LibreCat-ID: 35941
Computing Automorphisms of Abelian Number Fields
J. Klüners, V. Acciaro, Mathematics of Computation 68 (1999) 1179–1186.
LibreCat | Files available
 
[5]
1998 | Journal Article | LibreCat-ID: 34905
On computing subfields. A detailed description of the algorithm
J. Klüners, Journal de Theorie Des Nombres de Bordeaux 10 (1998) 243–271.
LibreCat | Files available | DOI
 
[4]
1997 | Journal Article | LibreCat-ID: 34903
KANT V4
M. DABERKOW, C. FIEKER, J. Klüners, M. POHST, K. ROEGNER, M. SCHÖRNIG, K. WILDANGER, Journal of Symbolic Computation 24 (1997) 267–283.
LibreCat | DOI
 
[3]
1997 | Journal Article | LibreCat-ID: 34904
On Computing Subfields
J. Klüners, M. Pohst, Journal of Symbolic Computation 24 (1997) 385–397.
LibreCat | DOI
 
[2]
1997 | Dissertation | LibreCat-ID: 42806
Über die Berechnung von Automorphismen und Teilkörpern algebraischer Zahlkörper (Dissertation)
J. Klüners, Über Die Berechnung von Automorphismen Und Teilkörpern Algebraischer Zahlkörper (Dissertation), TU Berlin, 1997.
LibreCat | Files available
 
[1]
1995 | Mastersthesis | LibreCat-ID: 42808
Über die Berechnung von Teilkörpern algebraischer Zahlkörper (Diplomarbeit)
J. Klüners, Über Die Berechnung von Teilkörpern Algebraischer Zahlkörper (Diplomarbeit), TU Berlin, 1995.
LibreCat | Files available
 
Marked Publication(s)

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41 Publications

Mark all

[41]
2023 | Journal Article | LibreCat-ID: 49372
Idélic Approach in Enumerating Heisenberg Extensions
J. Klüners, J. Wang, La Matematica (2023).
LibreCat | DOI
 
[40]
2022 | Preprint | LibreCat-ID: 42647
Chow groups of orders in number fields
M. Kirschmer, J. Klüners, ArXiv:2208.14688 (2022).
LibreCat | arXiv
 
[39]
2022 | Journal Article | LibreCat-ID: 34839
ℓ-torsion bounds for the class group of number fields with an ℓ-group as Galois group
J. Klüners, J. Wang, Proceedings of the American Mathematical Society 150 (2022) 2793–2805.
LibreCat | DOI | arXiv
 
[38]
2022 | Journal Article | LibreCat-ID: 34835
The asymptotics of nilpotent Galois groups
J. Klüners, Acta Arithmetica 204 (2022) 165–184.
LibreCat | DOI | arXiv
 
[37]
2021 | Journal Article | LibreCat-ID: 34840
Imaginary multiquadratic number fields with class group of exponent $3$ and $5$
J. Klüners, T. Komatsu, Mathematics of Computation 90 (2021) 1483–1497.
LibreCat | DOI | arXiv
 
[36]
2020 | Journal Article | LibreCat-ID: 34842
Imaginary quadratic number fields with class groups of small exponent
A.-S. Elsenhans, J. Klüners, F. Nicolae, Acta Arithmetica 193 (2020) 217–233.
LibreCat | DOI | arXiv
 
[35]
2020 | Journal Article | LibreCat-ID: 34841
The conductor density of local function fields with abelian Galois group
J. Klüners, R. Müller, Journal of Number Theory 212 (2020) 311–322.
LibreCat | DOI | arXiv
 
[34]
2019 | Preprint | LibreCat-ID: 42646
Computing quadratic subfields of number fields
A.-S. Elsenhans, J. Klüners, ArXiv:1907.13383 (2019).
LibreCat | arXiv
 
[33]
2018 | Journal Article | LibreCat-ID: 34843
Computing subfields of number fields and applications to Galois group computations
A.-S. Elsenhans, J. Klüners, Journal of Symbolic Computation 93 (2018) 1–20.
LibreCat | DOI | arXiv
 
[32]
2016 | Journal Article | LibreCat-ID: 34844
Are number fields determined by Artin L-functions?
J. Klüners, F. Nicolae, Journal of Number Theory 167 (2016) 161–168.
LibreCat | DOI | arXiv
 
[31]
2014 | Journal Article | LibreCat-ID: 34845
Computation of Galois groups of rational polynomials
C. Fieker, J. Klüners, LMS Journal of Computation and Mathematics 17 (2014) 141–158.
LibreCat | DOI | arXiv
 
[30]
2012 | Journal Article | LibreCat-ID: 34847
The Distribution of Number Fields with Wreath Products as Galois Groups
J. Klüners, International Journal of Number Theory 08 (2012) 845–858.
LibreCat | DOI | arXiv
 
[29]
2011 | Journal Article | LibreCat-ID: 34885
Weighted Distribution of the 4-rank of Class Groups and Applications
É. Fouvry, J. Klüners, International Mathematics Research Notices 2011 (2011) 3618–3656.
LibreCat | DOI
 
[28]
2011 | Journal Article | LibreCat-ID: 34846
Generating subfields
M. van Hoeij, J. Klüners, A. Novocin, Journal of Symbolic Computation 52 (2011) 17–34.
LibreCat | DOI
 
[27]
2010 | Journal Article | LibreCat-ID: 34886
On the negative Pell equation
É. Fouvry, J. Klüners, Annals of Mathematics 172 (2010) 2035–2104.
LibreCat | DOI
 
[26]
2010 | Journal Article | LibreCat-ID: 34888
The parity of the period of the continued fraction of d
É. Fouvry, J. Klüners, Proceedings of the London Mathematical Society 101 (2010) 337–391.
LibreCat | Files available | DOI
 
[25]
2010 | Journal Article | LibreCat-ID: 34887
On the Spiegelungssatz for the 4-rank
É. Fouvry, J. Klüners, Algebra & Number Theory 4 (2010) 493–508.
LibreCat | DOI
 
[24]
2009 | Journal Article | LibreCat-ID: 34889
Factoring polynomials over global fields
K. Belabas, M. van Hoeij, J. Klüners, A. Steel, Journal de Théorie Des Nombres de Bordeaux 21 (2009) 15–39.
LibreCat | DOI | arXiv
 
[23]
2009 | Book Chapter | LibreCat-ID: 35959
The van Hoeij Algorithm for Factoring Polynomials
J. Klüners, in: The LLL Algorithm, Springer Berlin Heidelberg, Berlin, Heidelberg, 2009.
LibreCat | Files available | DOI
 
[22]
2006 | Journal Article | LibreCat-ID: 34895
Counting nilpotent Galois extensions
J. Klüners, G. Malle, Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal) 2004 (2006) 1–26.
LibreCat | DOI | arXiv
 
[21]
2006 | Journal Article | LibreCat-ID: 34891
Asymptotics of number fields and the Cohen–Lenstra heuristics
J. Klüners, Journal de Théorie Des Nombres de Bordeaux 18 (2006) 607–615.
LibreCat | DOI | arXiv
 
[20]
2006 | Journal Article | LibreCat-ID: 34890
On the 4-rank of class groups of quadratic number fields
É. Fouvry, J. Klüners, Inventiones Mathematicae 167 (2006) 455–513.
LibreCat | Files available | DOI
 
[19]
2006 | Book Chapter | LibreCat-ID: 35958
Cohen–Lenstra Heuristics of Quadratic Number Fields
É. Fouvry, J. Klüners, in: Lecture Notes in Computer Science, Springer Berlin Heidelberg, Berlin, Heidelberg, 2006.
LibreCat | Files available | DOI
 
[18]
2006 | Journal Article | LibreCat-ID: 34892
The number of S₄-fields with given discriminant
J. Klüners, Acta Arithmetica 122 (2006) 185–194.
LibreCat | DOI | arXiv
 
[17]
2005 | Journal Article | LibreCat-ID: 34894
A counter example to Malle's conjecture on the asymptotics of discriminants
J. Klüners, Comptes Rendus Mathematique 340 (2005) 411–414.
LibreCat | DOI | arXiv
 
[16]
2005 | Journal Article | LibreCat-ID: 34893
Computing residue class rings and Picard groups of orders
J. Klüners, S. Pauli, Journal of Algebra 292 (2005) 47–64.
LibreCat | DOI
 
[15]
2005 | Misc | LibreCat-ID: 42807
Über die Asymptotik von Zahlkörpern mit vorgegebener Galoisgruppe (Habilitation)
J. Klüners, Über die Asymptotik von Zahlkörpern mit vorgegebener Galoisgruppe (Habilitation), Shaker Verlag, Universiät Kassel, 2005.
LibreCat
 
[14]
2003 | Journal Article | LibreCat-ID: 34896
Minimal discriminants for fields with small Frobenius groups as Galois groups
C. Fieker, J. Klüners, Journal of Number Theory 99 (2003) 318–337.
LibreCat | DOI
 
[13]
2002 | Journal Article | LibreCat-ID: 35954
Algorithms for function fields
J. Klüners, Experiment. Math. 11 (2002) 171–181.
LibreCat | Files available
 
[12]
2001 | Journal Article | LibreCat-ID: 34897
A Database for Field Extensions of the Rationals
J. Klüners, G. Malle, LMS Journal of Computation and Mathematics 4 (2001) 182–196.
LibreCat | DOI | arXiv
 
[11]
2000 | Journal Article | LibreCat-ID: 34900
Galois Group Computation for Rational Polynomials
K. Geissler, J. Klüners, Journal of Symbolic Computation 30 (2000) 653–674.
LibreCat | DOI
 
[10]
2000 | Journal Article | LibreCat-ID: 34901
Computing Local Artin Maps, and Solvability of Norm Equations
V. Acciaro, J. Klüners, Journal of Symbolic Computation 30 (2000) 239–252.
LibreCat | DOI
 
[9]
2000 | Journal Article | LibreCat-ID: 34899
Explicit Galois Realization of Transitive Groups of Degree up to 15
J. Klüners, G. Malle, Journal of Symbolic Computation 30 (2000) 675–716.
LibreCat | DOI
 
[8]
2000 | Journal Article | LibreCat-ID: 34898
A Polynomial with Galois GroupSL2(11)
J. Klüners, Journal of Symbolic Computation 30 (2000) 733–737.
LibreCat | DOI
 
[7]
1999 | Journal Article | LibreCat-ID: 34902
On Polynomial Decompositions
J. Klüners, Journal of Symbolic Computation 27 (1999) 261–269.
LibreCat | DOI
 
[6]
1999 | Journal Article | LibreCat-ID: 35941
Computing Automorphisms of Abelian Number Fields
J. Klüners, V. Acciaro, Mathematics of Computation 68 (1999) 1179–1186.
LibreCat | Files available
 
[5]
1998 | Journal Article | LibreCat-ID: 34905
On computing subfields. A detailed description of the algorithm
J. Klüners, Journal de Theorie Des Nombres de Bordeaux 10 (1998) 243–271.
LibreCat | Files available | DOI
 
[4]
1997 | Journal Article | LibreCat-ID: 34903
KANT V4
M. DABERKOW, C. FIEKER, J. Klüners, M. POHST, K. ROEGNER, M. SCHÖRNIG, K. WILDANGER, Journal of Symbolic Computation 24 (1997) 267–283.
LibreCat | DOI
 
[3]
1997 | Journal Article | LibreCat-ID: 34904
On Computing Subfields
J. Klüners, M. Pohst, Journal of Symbolic Computation 24 (1997) 385–397.
LibreCat | DOI
 
[2]
1997 | Dissertation | LibreCat-ID: 42806
Über die Berechnung von Automorphismen und Teilkörpern algebraischer Zahlkörper (Dissertation)
J. Klüners, Über Die Berechnung von Automorphismen Und Teilkörpern Algebraischer Zahlkörper (Dissertation), TU Berlin, 1997.
LibreCat | Files available
 
[1]
1995 | Mastersthesis | LibreCat-ID: 42808
Über die Berechnung von Teilkörpern algebraischer Zahlkörper (Diplomarbeit)
J. Klüners, Über Die Berechnung von Teilkörpern Algebraischer Zahlkörper (Diplomarbeit), TU Berlin, 1995.
LibreCat | Files available
 
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