Jürgen Klüners

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

41 Publications

Mark all

[41]
2023 | Journal Article | LibreCat-ID: 49372
Klüners J, Wang J. Idélic Approach in Enumerating Heisenberg Extensions. La Matematica. Published online 2023. doi:10.1007/s44007-023-00067-w
LibreCat | DOI
 
[40]
2022 | Preprint | LibreCat-ID: 42647
Kirschmer M, Klüners J. Chow groups of orders in number fields. arXiv:220814688. Published online 2022.
LibreCat | arXiv
 
[39]
2022 | Journal Article | LibreCat-ID: 34839
Klüners J, Wang J. ℓ-torsion bounds for the class group of number fields with an ℓ-group as Galois group. Proceedings of the American Mathematical Society. 2022;150(7):2793-2805. doi:10.1090/proc/15882
LibreCat | DOI | arXiv
 
[38]
2022 | Journal Article | LibreCat-ID: 34835
Klüners J. The asymptotics of nilpotent Galois groups. Acta Arithmetica. 2022;204(2):165-184. doi:10.4064/aa211207-16-5
LibreCat | DOI | arXiv
 
[37]
2021 | Journal Article | LibreCat-ID: 34840
Klüners J, Komatsu T. Imaginary multiquadratic number fields with class group of exponent $3$ and $5$. Mathematics of Computation. 2021;90(329):1483-1497. doi:10.1090/mcom/3609
LibreCat | DOI | arXiv
 
[36]
2020 | Journal Article | LibreCat-ID: 34842
Elsenhans A-S, Klüners J, Nicolae F. Imaginary quadratic number fields with class groups of small exponent. Acta Arithmetica. 2020;193(3):217-233. doi:10.4064/aa180220-20-3
LibreCat | DOI | arXiv
 
[35]
2020 | Journal Article | LibreCat-ID: 34841
Klüners J, Müller R. The conductor density of local function fields with abelian Galois group. Journal of Number Theory. 2020;212:311-322. doi:10.1016/j.jnt.2019.11.007
LibreCat | DOI | arXiv
 
[34]
2019 | Preprint | LibreCat-ID: 42646
Elsenhans A-S, Klüners J. Computing quadratic subfields of number fields. arXiv:190713383. Published online 2019.
LibreCat | arXiv
 
[33]
2018 | Journal Article | LibreCat-ID: 34843
Elsenhans A-S, Klüners J. Computing subfields of number fields and applications to Galois group computations. Journal of Symbolic Computation. 2018;93:1-20. doi:10.1016/j.jsc.2018.04.013
LibreCat | DOI | arXiv
 
[32]
2016 | Journal Article | LibreCat-ID: 34844
Klüners J, Nicolae F. Are number fields determined by Artin L-functions? Journal of Number Theory. 2016;167:161-168. doi:10.1016/j.jnt.2016.03.023
LibreCat | DOI | arXiv
 
[31]
2014 | Journal Article | LibreCat-ID: 34845
Fieker C, Klüners J. Computation of Galois groups of rational polynomials. LMS Journal of Computation and Mathematics. 2014;17(1):141-158. doi:10.1112/s1461157013000302
LibreCat | DOI | arXiv
 
[30]
2012 | Journal Article | LibreCat-ID: 34847
Klüners J. The Distribution of Number Fields with Wreath Products as Galois Groups . International Journal of Number Theory. 2012;08(03):845-858. doi:10.1142/s1793042112500492
LibreCat | DOI | arXiv
 
[29]
2011 | Journal Article | LibreCat-ID: 34885
Fouvry É, Klüners J. Weighted Distribution of the 4-rank of Class Groups and Applications. International Mathematics Research Notices. 2011;2011(16):3618-3656. doi:10.1093/imrn/rnq223
LibreCat | DOI
 
[28]
2011 | Journal Article | LibreCat-ID: 34846
van Hoeij M, Klüners J, Novocin A. Generating subfields. Journal of Symbolic Computation. 2011;52:17-34. doi:10.1016/j.jsc.2012.05.010
LibreCat | DOI
 
[27]
2010 | Journal Article | LibreCat-ID: 34886
Fouvry É, Klüners J. On the negative Pell equation. Annals of Mathematics. 2010;172(3):2035-2104. doi:10.4007/annals.2010.172.2035
LibreCat | DOI
 
[26]
2010 | Journal Article | LibreCat-ID: 34888
Fouvry É, Klüners J. The parity of the period of the continued fraction of d. Proceedings of the London Mathematical Society. 2010;101(2):337-391. doi:10.1112/plms/pdp057
LibreCat | Files available | DOI
 
[25]
2010 | Journal Article | LibreCat-ID: 34887
Fouvry É, Klüners J. On the Spiegelungssatz for the 4-rank. Algebra & Number Theory. 2010;4(5):493-508. doi:10.2140/ant.2010.4.493
LibreCat | DOI
 
[24]
2009 | Journal Article | LibreCat-ID: 34889
Belabas K, van Hoeij M, Klüners J, Steel A. Factoring polynomials over global fields. Journal de Théorie des Nombres de Bordeaux. 2009;21(1):15-39. doi:10.5802/jtnb.655
LibreCat | DOI | arXiv
 
[23]
2009 | Book Chapter | LibreCat-ID: 35959
Klüners J. The van Hoeij Algorithm for Factoring Polynomials. In: The LLL Algorithm. Springer Berlin Heidelberg; 2009. doi:10.1007/978-3-642-02295-1_8
LibreCat | Files available | DOI
 
[22]
2006 | Journal Article | LibreCat-ID: 34895
Klüners J, Malle G. Counting nilpotent Galois extensions. Journal für die reine und angewandte Mathematik (Crelles Journal). 2006;2004(572):1-26. doi:10.1515/crll.2004.050
LibreCat | DOI | arXiv
 
[21]
2006 | Journal Article | LibreCat-ID: 34891
Klüners J. Asymptotics of number fields and the Cohen–Lenstra heuristics. Journal de Théorie des Nombres de Bordeaux. 2006;18(3):607-615. doi:10.5802/jtnb.561
LibreCat | DOI | arXiv
 
[20]
2006 | Journal Article | LibreCat-ID: 34890
Fouvry É, Klüners J. On the 4-rank of class groups of quadratic number fields. Inventiones mathematicae. 2006;167(3):455-513. doi:10.1007/s00222-006-0021-2
LibreCat | Files available | DOI
 
[19]
2006 | Book Chapter | LibreCat-ID: 35958
Fouvry É, Klüners J. Cohen–Lenstra Heuristics of Quadratic Number Fields. In: Lecture Notes in Computer Science. Springer Berlin Heidelberg; 2006. doi:10.1007/11792086_4
LibreCat | Files available | DOI
 
[18]
2006 | Journal Article | LibreCat-ID: 34892
Klüners J. The number of S₄-fields with given discriminant. Acta Arithmetica. 2006;122(2):185-194. doi:10.4064/aa122-2-3
LibreCat | DOI | arXiv
 
[17]
2005 | Journal Article | LibreCat-ID: 34894
Klüners J. A counter example to Malle’s conjecture on the asymptotics of discriminants. Comptes Rendus Mathematique. 2005;340(6):411-414. doi:10.1016/j.crma.2005.02.010
LibreCat | DOI | arXiv
 
[16]
2005 | Journal Article | LibreCat-ID: 34893
Klüners J, Pauli S. Computing residue class rings and Picard groups of orders. Journal of Algebra. 2005;292(1):47-64. doi:10.1016/j.jalgebra.2005.04.013
LibreCat | DOI
 
[15]
2005 | Misc | LibreCat-ID: 42807
Klüners J. Über die Asymptotik von Zahlkörpern mit vorgegebener Galoisgruppe (Habilitation). Shaker Verlag; 2005.
LibreCat
 
[14]
2003 | Journal Article | LibreCat-ID: 34896
Fieker C, Klüners J. Minimal discriminants for fields with small Frobenius groups as Galois groups. Journal of Number Theory. 2003;99(2):318-337. doi:10.1016/s0022-314x(02)00071-9
LibreCat | DOI
 
[13]
2002 | Journal Article | LibreCat-ID: 35954
Klüners J. Algorithms for function fields. Experiment Math . 2002;11(2):171-181.
LibreCat | Files available
 
[12]
2001 | Journal Article | LibreCat-ID: 34897
Klüners J, Malle G. A Database for Field Extensions of the Rationals. LMS Journal of Computation and Mathematics. 2001;4:182-196. doi:10.1112/s1461157000000851
LibreCat | DOI | arXiv
 
[11]
2000 | Journal Article | LibreCat-ID: 34900
Geissler K, Klüners J. Galois Group Computation for Rational Polynomials. Journal of Symbolic Computation. 2000;30(6):653-674. doi:10.1006/jsco.2000.0377
LibreCat | DOI
 
[10]
2000 | Journal Article | LibreCat-ID: 34901
Acciaro V, Klüners J. Computing Local Artin Maps, and Solvability of Norm Equations. Journal of Symbolic Computation. 2000;30(3):239-252. doi:10.1006/jsco.2000.0361
LibreCat | DOI
 
[9]
2000 | Journal Article | LibreCat-ID: 34899
Klüners J, Malle G. Explicit Galois Realization of Transitive Groups of Degree up to 15. Journal of Symbolic Computation. 2000;30(6):675-716. doi:10.1006/jsco.2000.0378
LibreCat | DOI
 
[8]
2000 | Journal Article | LibreCat-ID: 34898
Klüners J. A Polynomial with Galois GroupSL2(11). Journal of Symbolic Computation. 2000;30(6):733-737. doi:10.1006/jsco.2000.0380
LibreCat | DOI
 
[7]
1999 | Journal Article | LibreCat-ID: 34902
Klüners J. On Polynomial Decompositions. Journal of Symbolic Computation. 1999;27(3):261-269. doi:10.1006/jsco.1998.0252
LibreCat | DOI
 
[6]
1999 | Journal Article | LibreCat-ID: 35941
Klüners J, Acciaro V. Computing Automorphisms of Abelian Number Fields. Mathematics of Computation. 1999;68(227):1179-1186.
LibreCat | Files available
 
[5]
1998 | Journal Article | LibreCat-ID: 34905
Klüners J. On computing subfields. A detailed description of the algorithm . Journal de Theorie des Nombres de Bordeaux. 1998;10(2):243-271. doi:https://jtnb.centre-mersenne.org/item/?id=JTNB_1998__10_2_243_0
LibreCat | Files available | DOI
 
[4]
1997 | Journal Article | LibreCat-ID: 34903
DABERKOW M, FIEKER C, Klüners J, et al. KANT V4. Journal of Symbolic Computation. 1997;24(3-4):267-283. doi:10.1006/jsco.1996.0126
LibreCat | DOI
 
[3]
1997 | Journal Article | LibreCat-ID: 34904
Klüners J, Pohst M. On Computing Subfields. Journal of Symbolic Computation. 1997;24(3-4):385-397. doi:10.1006/jsco.1996.0140
LibreCat | DOI
 
[2]
1997 | Dissertation | LibreCat-ID: 42806
Klüners J. Über Die Berechnung von Automorphismen Und Teilkörpern Algebraischer Zahlkörper (Dissertation).; 1997.
LibreCat | Files available
 
[1]
1995 | Mastersthesis | LibreCat-ID: 42808
Klüners J. Über Die Berechnung von Teilkörpern Algebraischer Zahlkörper (Diplomarbeit).; 1995.
LibreCat | Files available
 
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41 Publications

Mark all

[41]
2023 | Journal Article | LibreCat-ID: 49372
Klüners J, Wang J. Idélic Approach in Enumerating Heisenberg Extensions. La Matematica. Published online 2023. doi:10.1007/s44007-023-00067-w
LibreCat | DOI
 
[40]
2022 | Preprint | LibreCat-ID: 42647
Kirschmer M, Klüners J. Chow groups of orders in number fields. arXiv:220814688. Published online 2022.
LibreCat | arXiv
 
[39]
2022 | Journal Article | LibreCat-ID: 34839
Klüners J, Wang J. ℓ-torsion bounds for the class group of number fields with an ℓ-group as Galois group. Proceedings of the American Mathematical Society. 2022;150(7):2793-2805. doi:10.1090/proc/15882
LibreCat | DOI | arXiv
 
[38]
2022 | Journal Article | LibreCat-ID: 34835
Klüners J. The asymptotics of nilpotent Galois groups. Acta Arithmetica. 2022;204(2):165-184. doi:10.4064/aa211207-16-5
LibreCat | DOI | arXiv
 
[37]
2021 | Journal Article | LibreCat-ID: 34840
Klüners J, Komatsu T. Imaginary multiquadratic number fields with class group of exponent $3$ and $5$. Mathematics of Computation. 2021;90(329):1483-1497. doi:10.1090/mcom/3609
LibreCat | DOI | arXiv
 
[36]
2020 | Journal Article | LibreCat-ID: 34842
Elsenhans A-S, Klüners J, Nicolae F. Imaginary quadratic number fields with class groups of small exponent. Acta Arithmetica. 2020;193(3):217-233. doi:10.4064/aa180220-20-3
LibreCat | DOI | arXiv
 
[35]
2020 | Journal Article | LibreCat-ID: 34841
Klüners J, Müller R. The conductor density of local function fields with abelian Galois group. Journal of Number Theory. 2020;212:311-322. doi:10.1016/j.jnt.2019.11.007
LibreCat | DOI | arXiv
 
[34]
2019 | Preprint | LibreCat-ID: 42646
Elsenhans A-S, Klüners J. Computing quadratic subfields of number fields. arXiv:190713383. Published online 2019.
LibreCat | arXiv
 
[33]
2018 | Journal Article | LibreCat-ID: 34843
Elsenhans A-S, Klüners J. Computing subfields of number fields and applications to Galois group computations. Journal of Symbolic Computation. 2018;93:1-20. doi:10.1016/j.jsc.2018.04.013
LibreCat | DOI | arXiv
 
[32]
2016 | Journal Article | LibreCat-ID: 34844
Klüners J, Nicolae F. Are number fields determined by Artin L-functions? Journal of Number Theory. 2016;167:161-168. doi:10.1016/j.jnt.2016.03.023
LibreCat | DOI | arXiv
 
[31]
2014 | Journal Article | LibreCat-ID: 34845
Fieker C, Klüners J. Computation of Galois groups of rational polynomials. LMS Journal of Computation and Mathematics. 2014;17(1):141-158. doi:10.1112/s1461157013000302
LibreCat | DOI | arXiv
 
[30]
2012 | Journal Article | LibreCat-ID: 34847
Klüners J. The Distribution of Number Fields with Wreath Products as Galois Groups . International Journal of Number Theory. 2012;08(03):845-858. doi:10.1142/s1793042112500492
LibreCat | DOI | arXiv
 
[29]
2011 | Journal Article | LibreCat-ID: 34885
Fouvry É, Klüners J. Weighted Distribution of the 4-rank of Class Groups and Applications. International Mathematics Research Notices. 2011;2011(16):3618-3656. doi:10.1093/imrn/rnq223
LibreCat | DOI
 
[28]
2011 | Journal Article | LibreCat-ID: 34846
van Hoeij M, Klüners J, Novocin A. Generating subfields. Journal of Symbolic Computation. 2011;52:17-34. doi:10.1016/j.jsc.2012.05.010
LibreCat | DOI
 
[27]
2010 | Journal Article | LibreCat-ID: 34886
Fouvry É, Klüners J. On the negative Pell equation. Annals of Mathematics. 2010;172(3):2035-2104. doi:10.4007/annals.2010.172.2035
LibreCat | DOI
 
[26]
2010 | Journal Article | LibreCat-ID: 34888
Fouvry É, Klüners J. The parity of the period of the continued fraction of d. Proceedings of the London Mathematical Society. 2010;101(2):337-391. doi:10.1112/plms/pdp057
LibreCat | Files available | DOI
 
[25]
2010 | Journal Article | LibreCat-ID: 34887
Fouvry É, Klüners J. On the Spiegelungssatz for the 4-rank. Algebra & Number Theory. 2010;4(5):493-508. doi:10.2140/ant.2010.4.493
LibreCat | DOI
 
[24]
2009 | Journal Article | LibreCat-ID: 34889
Belabas K, van Hoeij M, Klüners J, Steel A. Factoring polynomials over global fields. Journal de Théorie des Nombres de Bordeaux. 2009;21(1):15-39. doi:10.5802/jtnb.655
LibreCat | DOI | arXiv
 
[23]
2009 | Book Chapter | LibreCat-ID: 35959
Klüners J. The van Hoeij Algorithm for Factoring Polynomials. In: The LLL Algorithm. Springer Berlin Heidelberg; 2009. doi:10.1007/978-3-642-02295-1_8
LibreCat | Files available | DOI
 
[22]
2006 | Journal Article | LibreCat-ID: 34895
Klüners J, Malle G. Counting nilpotent Galois extensions. Journal für die reine und angewandte Mathematik (Crelles Journal). 2006;2004(572):1-26. doi:10.1515/crll.2004.050
LibreCat | DOI | arXiv
 
[21]
2006 | Journal Article | LibreCat-ID: 34891
Klüners J. Asymptotics of number fields and the Cohen–Lenstra heuristics. Journal de Théorie des Nombres de Bordeaux. 2006;18(3):607-615. doi:10.5802/jtnb.561
LibreCat | DOI | arXiv
 
[20]
2006 | Journal Article | LibreCat-ID: 34890
Fouvry É, Klüners J. On the 4-rank of class groups of quadratic number fields. Inventiones mathematicae. 2006;167(3):455-513. doi:10.1007/s00222-006-0021-2
LibreCat | Files available | DOI
 
[19]
2006 | Book Chapter | LibreCat-ID: 35958
Fouvry É, Klüners J. Cohen–Lenstra Heuristics of Quadratic Number Fields. In: Lecture Notes in Computer Science. Springer Berlin Heidelberg; 2006. doi:10.1007/11792086_4
LibreCat | Files available | DOI
 
[18]
2006 | Journal Article | LibreCat-ID: 34892
Klüners J. The number of S₄-fields with given discriminant. Acta Arithmetica. 2006;122(2):185-194. doi:10.4064/aa122-2-3
LibreCat | DOI | arXiv
 
[17]
2005 | Journal Article | LibreCat-ID: 34894
Klüners J. A counter example to Malle’s conjecture on the asymptotics of discriminants. Comptes Rendus Mathematique. 2005;340(6):411-414. doi:10.1016/j.crma.2005.02.010
LibreCat | DOI | arXiv
 
[16]
2005 | Journal Article | LibreCat-ID: 34893
Klüners J, Pauli S. Computing residue class rings and Picard groups of orders. Journal of Algebra. 2005;292(1):47-64. doi:10.1016/j.jalgebra.2005.04.013
LibreCat | DOI
 
[15]
2005 | Misc | LibreCat-ID: 42807
Klüners J. Über die Asymptotik von Zahlkörpern mit vorgegebener Galoisgruppe (Habilitation). Shaker Verlag; 2005.
LibreCat
 
[14]
2003 | Journal Article | LibreCat-ID: 34896
Fieker C, Klüners J. Minimal discriminants for fields with small Frobenius groups as Galois groups. Journal of Number Theory. 2003;99(2):318-337. doi:10.1016/s0022-314x(02)00071-9
LibreCat | DOI
 
[13]
2002 | Journal Article | LibreCat-ID: 35954
Klüners J. Algorithms for function fields. Experiment Math . 2002;11(2):171-181.
LibreCat | Files available
 
[12]
2001 | Journal Article | LibreCat-ID: 34897
Klüners J, Malle G. A Database for Field Extensions of the Rationals. LMS Journal of Computation and Mathematics. 2001;4:182-196. doi:10.1112/s1461157000000851
LibreCat | DOI | arXiv
 
[11]
2000 | Journal Article | LibreCat-ID: 34900
Geissler K, Klüners J. Galois Group Computation for Rational Polynomials. Journal of Symbolic Computation. 2000;30(6):653-674. doi:10.1006/jsco.2000.0377
LibreCat | DOI
 
[10]
2000 | Journal Article | LibreCat-ID: 34901
Acciaro V, Klüners J. Computing Local Artin Maps, and Solvability of Norm Equations. Journal of Symbolic Computation. 2000;30(3):239-252. doi:10.1006/jsco.2000.0361
LibreCat | DOI
 
[9]
2000 | Journal Article | LibreCat-ID: 34899
Klüners J, Malle G. Explicit Galois Realization of Transitive Groups of Degree up to 15. Journal of Symbolic Computation. 2000;30(6):675-716. doi:10.1006/jsco.2000.0378
LibreCat | DOI
 
[8]
2000 | Journal Article | LibreCat-ID: 34898
Klüners J. A Polynomial with Galois GroupSL2(11). Journal of Symbolic Computation. 2000;30(6):733-737. doi:10.1006/jsco.2000.0380
LibreCat | DOI
 
[7]
1999 | Journal Article | LibreCat-ID: 34902
Klüners J. On Polynomial Decompositions. Journal of Symbolic Computation. 1999;27(3):261-269. doi:10.1006/jsco.1998.0252
LibreCat | DOI
 
[6]
1999 | Journal Article | LibreCat-ID: 35941
Klüners J, Acciaro V. Computing Automorphisms of Abelian Number Fields. Mathematics of Computation. 1999;68(227):1179-1186.
LibreCat | Files available
 
[5]
1998 | Journal Article | LibreCat-ID: 34905
Klüners J. On computing subfields. A detailed description of the algorithm . Journal de Theorie des Nombres de Bordeaux. 1998;10(2):243-271. doi:https://jtnb.centre-mersenne.org/item/?id=JTNB_1998__10_2_243_0
LibreCat | Files available | DOI
 
[4]
1997 | Journal Article | LibreCat-ID: 34903
DABERKOW M, FIEKER C, Klüners J, et al. KANT V4. Journal of Symbolic Computation. 1997;24(3-4):267-283. doi:10.1006/jsco.1996.0126
LibreCat | DOI
 
[3]
1997 | Journal Article | LibreCat-ID: 34904
Klüners J, Pohst M. On Computing Subfields. Journal of Symbolic Computation. 1997;24(3-4):385-397. doi:10.1006/jsco.1996.0140
LibreCat | DOI
 
[2]
1997 | Dissertation | LibreCat-ID: 42806
Klüners J. Über Die Berechnung von Automorphismen Und Teilkörpern Algebraischer Zahlkörper (Dissertation).; 1997.
LibreCat | Files available
 
[1]
1995 | Mastersthesis | LibreCat-ID: 42808
Klüners J. Über Die Berechnung von Teilkörpern Algebraischer Zahlkörper (Diplomarbeit).; 1995.
LibreCat | Files available
 
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Citation Style: AMA

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