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. (2023). Idélic Approach in Enumerating Heisenberg Extensions. La Matematica. https://doi.org/10.1007/s44007-023-00067-w
LibreCat | DOI
 
[40]
2022 | Preprint | LibreCat-ID: 42647
Kirschmer, M., & Klüners, J. (2022). Chow groups of orders in number fields. In arXiv:2208.14688.
LibreCat | arXiv
 
[39]
2022 | Journal Article | LibreCat-ID: 34839
Klüners, J., & Wang, J. (2022). ℓ-torsion bounds for the class group of number fields with an ℓ-group as Galois group. Proceedings of the American Mathematical Society, 150(7), 2793–2805. https://doi.org/10.1090/proc/15882
LibreCat | DOI | arXiv
 
[38]
2022 | Journal Article | LibreCat-ID: 34835
Klüners, J. (2022). The asymptotics of nilpotent Galois groups. Acta Arithmetica, 204(2), 165–184. https://doi.org/10.4064/aa211207-16-5
LibreCat | DOI | arXiv
 
[37]
2021 | Journal Article | LibreCat-ID: 34840
Klüners, J., & Komatsu, T. (2021). Imaginary multiquadratic number fields with class group of exponent $3$ and $5$. Mathematics of Computation, 90(329), 1483–1497. https://doi.org/10.1090/mcom/3609
LibreCat | DOI | arXiv
 
[36]
2020 | Journal Article | LibreCat-ID: 34842
Elsenhans, A.-S., Klüners, J., & Nicolae, F. (2020). Imaginary quadratic number fields with class groups of small exponent. Acta Arithmetica, 193(3), 217–233. https://doi.org/10.4064/aa180220-20-3
LibreCat | DOI | arXiv
 
[35]
2020 | Journal Article | LibreCat-ID: 34841
Klüners, J., & Müller, R. (2020). The conductor density of local function fields with abelian Galois group. Journal of Number Theory, 212, 311–322. https://doi.org/10.1016/j.jnt.2019.11.007
LibreCat | DOI | arXiv
 
[34]
2019 | Preprint | LibreCat-ID: 42646
Elsenhans, A.-S., & Klüners, J. (2019). Computing quadratic subfields of number fields. In arXiv:1907.13383.
LibreCat | arXiv
 
[33]
2018 | Journal Article | LibreCat-ID: 34843
Elsenhans, A.-S., & Klüners, J. (2018). Computing subfields of number fields and applications to Galois group computations. Journal of Symbolic Computation, 93, 1–20. https://doi.org/10.1016/j.jsc.2018.04.013
LibreCat | DOI | arXiv
 
[32]
2016 | Journal Article | LibreCat-ID: 34844
Klüners, J., & Nicolae, F. (2016). Are number fields determined by Artin L-functions? Journal of Number Theory, 167, 161–168. https://doi.org/10.1016/j.jnt.2016.03.023
LibreCat | DOI | arXiv
 
[31]
2014 | Journal Article | LibreCat-ID: 34845
Fieker, C., & Klüners, J. (2014). Computation of Galois groups of rational polynomials. LMS Journal of Computation and Mathematics, 17(1), 141–158. https://doi.org/10.1112/s1461157013000302
LibreCat | DOI | arXiv
 
[30]
2012 | Journal Article | LibreCat-ID: 34847
Klüners, J. (2012). The Distribution of Number Fields with Wreath Products as Galois Groups . International Journal of Number Theory, 08(03), 845–858. https://doi.org/10.1142/s1793042112500492
LibreCat | DOI | arXiv
 
[29]
2011 | Journal Article | LibreCat-ID: 34885
Fouvry, É., & Klüners, J. (2011). Weighted Distribution of the 4-rank of Class Groups and Applications. International Mathematics Research Notices, 2011(16), 3618–3656. https://doi.org/10.1093/imrn/rnq223
LibreCat | DOI
 
[28]
2011 | Journal Article | LibreCat-ID: 34846
van Hoeij, M., Klüners, J., & Novocin, A. (2011). Generating subfields. Journal of Symbolic Computation, 52, 17–34. https://doi.org/10.1016/j.jsc.2012.05.010
LibreCat | DOI
 
[27]
2010 | Journal Article | LibreCat-ID: 34886
Fouvry, É., & Klüners, J. (2010). On the negative Pell equation. Annals of Mathematics, 172(3), 2035–2104. https://doi.org/10.4007/annals.2010.172.2035
LibreCat | DOI
 
[26]
2010 | Journal Article | LibreCat-ID: 34888
Fouvry, É., & Klüners, J. (2010). The parity of the period of the continued fraction of d. Proceedings of the London Mathematical Society, 101(2), 337–391. https://doi.org/10.1112/plms/pdp057
LibreCat | Files available | DOI
 
[25]
2010 | Journal Article | LibreCat-ID: 34887
Fouvry, É., & Klüners, J. (2010). On the Spiegelungssatz for the 4-rank. Algebra & Number Theory, 4(5), 493–508. https://doi.org/10.2140/ant.2010.4.493
LibreCat | DOI
 
[24]
2009 | Journal Article | LibreCat-ID: 34889
Belabas, K., van Hoeij, M., Klüners, J., & Steel, A. (2009). Factoring polynomials over global fields. Journal de Théorie Des Nombres de Bordeaux, 21(1), 15–39. https://doi.org/10.5802/jtnb.655
LibreCat | DOI | arXiv
 
[23]
2009 | Book Chapter | LibreCat-ID: 35959
Klüners, J. (2009). The van Hoeij Algorithm for Factoring Polynomials. In The LLL Algorithm. Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-642-02295-1_8
LibreCat | Files available | DOI
 
[22]
2006 | Journal Article | LibreCat-ID: 34895
Klüners, J., & Malle, G. (2006). Counting nilpotent Galois extensions. Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal), 2004(572), 1–26. https://doi.org/10.1515/crll.2004.050
LibreCat | DOI | arXiv
 
[21]
2006 | Journal Article | LibreCat-ID: 34891
Klüners, J. (2006). Asymptotics of number fields and the Cohen–Lenstra heuristics. Journal de Théorie Des Nombres de Bordeaux, 18(3), 607–615. https://doi.org/10.5802/jtnb.561
LibreCat | DOI | arXiv
 
[20]
2006 | Journal Article | LibreCat-ID: 34890
Fouvry, É., & Klüners, J. (2006). On the 4-rank of class groups of quadratic number fields. Inventiones Mathematicae, 167(3), 455–513. https://doi.org/10.1007/s00222-006-0021-2
LibreCat | Files available | DOI
 
[19]
2006 | Book Chapter | LibreCat-ID: 35958
Fouvry, É., & Klüners, J. (2006). Cohen–Lenstra Heuristics of Quadratic Number Fields. In Lecture Notes in Computer Science. Springer Berlin Heidelberg. https://doi.org/10.1007/11792086_4
LibreCat | Files available | DOI
 
[18]
2006 | Journal Article | LibreCat-ID: 34892
Klüners, J. (2006). The number of S₄-fields with given discriminant. Acta Arithmetica, 122(2), 185–194. https://doi.org/10.4064/aa122-2-3
LibreCat | DOI | arXiv
 
[17]
2005 | Journal Article | LibreCat-ID: 34894
Klüners, J. (2005). A counter example to Malle’s conjecture on the asymptotics of discriminants. Comptes Rendus Mathematique, 340(6), 411–414. https://doi.org/10.1016/j.crma.2005.02.010
LibreCat | DOI | arXiv
 
[16]
2005 | Journal Article | LibreCat-ID: 34893
Klüners, J., & Pauli, S. (2005). Computing residue class rings and Picard groups of orders. Journal of Algebra, 292(1), 47–64. https://doi.org/10.1016/j.jalgebra.2005.04.013
LibreCat | DOI
 
[15]
2005 | Misc | LibreCat-ID: 42807
Klüners, J. (2005). Über die Asymptotik von Zahlkörpern mit vorgegebener Galoisgruppe (Habilitation). Shaker Verlag.
LibreCat
 
[14]
2003 | Journal Article | LibreCat-ID: 34896
Fieker, C., & Klüners, J. (2003). Minimal discriminants for fields with small Frobenius groups as Galois groups. Journal of Number Theory, 99(2), 318–337. https://doi.org/10.1016/s0022-314x(02)00071-9
LibreCat | DOI
 
[13]
2002 | Journal Article | LibreCat-ID: 35954
Klüners, J. (2002). Algorithms for function fields. Experiment. Math. , 11(2), 171–181.
LibreCat | Files available
 
[12]
2001 | Journal Article | LibreCat-ID: 34897
Klüners, J., & Malle, G. (2001). A Database for Field Extensions of the Rationals. LMS Journal of Computation and Mathematics, 4, 182–196. https://doi.org/10.1112/s1461157000000851
LibreCat | DOI | arXiv
 
[11]
2000 | Journal Article | LibreCat-ID: 34900
Geissler, K., & Klüners, J. (2000). Galois Group Computation for Rational Polynomials. Journal of Symbolic Computation, 30(6), 653–674. https://doi.org/10.1006/jsco.2000.0377
LibreCat | DOI
 
[10]
2000 | Journal Article | LibreCat-ID: 34901
Acciaro, V., & Klüners, J. (2000). Computing Local Artin Maps, and Solvability of Norm Equations. Journal of Symbolic Computation, 30(3), 239–252. https://doi.org/10.1006/jsco.2000.0361
LibreCat | DOI
 
[9]
2000 | Journal Article | LibreCat-ID: 34899
Klüners, J., & Malle, G. (2000). Explicit Galois Realization of Transitive Groups of Degree up to 15. Journal of Symbolic Computation, 30(6), 675–716. https://doi.org/10.1006/jsco.2000.0378
LibreCat | DOI
 
[8]
2000 | Journal Article | LibreCat-ID: 34898
Klüners, J. (2000). A Polynomial with Galois GroupSL2(11). Journal of Symbolic Computation, 30(6), 733–737. https://doi.org/10.1006/jsco.2000.0380
LibreCat | DOI
 
[7]
1999 | Journal Article | LibreCat-ID: 34902
Klüners, J. (1999). On Polynomial Decompositions. Journal of Symbolic Computation, 27(3), 261–269. https://doi.org/10.1006/jsco.1998.0252
LibreCat | DOI
 
[6]
1999 | Journal Article | LibreCat-ID: 35941
Klüners, J., & Acciaro, V. (1999). Computing Automorphisms of Abelian Number Fields. Mathematics of Computation, 68(227), 1179–1186.
LibreCat | Files available
 
[5]
1998 | Journal Article | LibreCat-ID: 34905
Klüners, J. (1998). On computing subfields. A detailed description of the algorithm . Journal de Theorie Des Nombres de Bordeaux, 10(2), 243–271. 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., POHST, M., ROEGNER, K., SCHÖRNIG, M., & WILDANGER, K. (1997). KANT V4. Journal of Symbolic Computation, 24(3–4), 267–283. https://doi.org/10.1006/jsco.1996.0126
LibreCat | DOI
 
[3]
1997 | Journal Article | LibreCat-ID: 34904
Klüners, J., & Pohst, M. (1997). On Computing Subfields. Journal of Symbolic Computation, 24(3–4), 385–397. https://doi.org/10.1006/jsco.1996.0140
LibreCat | DOI
 
[2]
1997 | Dissertation | LibreCat-ID: 42806
Klüners, J. (1997). Über die Berechnung von Automorphismen und Teilkörpern algebraischer Zahlkörper (Dissertation).
LibreCat | Files available
 
[1]
1995 | Mastersthesis | LibreCat-ID: 42808
Klüners, J. (1995). Über die Berechnung von Teilkörpern algebraischer Zahlkörper (Diplomarbeit).
LibreCat | Files available
 
Marked Publication(s)

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41 Publications

Mark all

[41]
2023 | Journal Article | LibreCat-ID: 49372
Klüners, J., & Wang, J. (2023). Idélic Approach in Enumerating Heisenberg Extensions. La Matematica. https://doi.org/10.1007/s44007-023-00067-w
LibreCat | DOI
 
[40]
2022 | Preprint | LibreCat-ID: 42647
Kirschmer, M., & Klüners, J. (2022). Chow groups of orders in number fields. In arXiv:2208.14688.
LibreCat | arXiv
 
[39]
2022 | Journal Article | LibreCat-ID: 34839
Klüners, J., & Wang, J. (2022). ℓ-torsion bounds for the class group of number fields with an ℓ-group as Galois group. Proceedings of the American Mathematical Society, 150(7), 2793–2805. https://doi.org/10.1090/proc/15882
LibreCat | DOI | arXiv
 
[38]
2022 | Journal Article | LibreCat-ID: 34835
Klüners, J. (2022). The asymptotics of nilpotent Galois groups. Acta Arithmetica, 204(2), 165–184. https://doi.org/10.4064/aa211207-16-5
LibreCat | DOI | arXiv
 
[37]
2021 | Journal Article | LibreCat-ID: 34840
Klüners, J., & Komatsu, T. (2021). Imaginary multiquadratic number fields with class group of exponent $3$ and $5$. Mathematics of Computation, 90(329), 1483–1497. https://doi.org/10.1090/mcom/3609
LibreCat | DOI | arXiv
 
[36]
2020 | Journal Article | LibreCat-ID: 34842
Elsenhans, A.-S., Klüners, J., & Nicolae, F. (2020). Imaginary quadratic number fields with class groups of small exponent. Acta Arithmetica, 193(3), 217–233. https://doi.org/10.4064/aa180220-20-3
LibreCat | DOI | arXiv
 
[35]
2020 | Journal Article | LibreCat-ID: 34841
Klüners, J., & Müller, R. (2020). The conductor density of local function fields with abelian Galois group. Journal of Number Theory, 212, 311–322. https://doi.org/10.1016/j.jnt.2019.11.007
LibreCat | DOI | arXiv
 
[34]
2019 | Preprint | LibreCat-ID: 42646
Elsenhans, A.-S., & Klüners, J. (2019). Computing quadratic subfields of number fields. In arXiv:1907.13383.
LibreCat | arXiv
 
[33]
2018 | Journal Article | LibreCat-ID: 34843
Elsenhans, A.-S., & Klüners, J. (2018). Computing subfields of number fields and applications to Galois group computations. Journal of Symbolic Computation, 93, 1–20. https://doi.org/10.1016/j.jsc.2018.04.013
LibreCat | DOI | arXiv
 
[32]
2016 | Journal Article | LibreCat-ID: 34844
Klüners, J., & Nicolae, F. (2016). Are number fields determined by Artin L-functions? Journal of Number Theory, 167, 161–168. https://doi.org/10.1016/j.jnt.2016.03.023
LibreCat | DOI | arXiv
 
[31]
2014 | Journal Article | LibreCat-ID: 34845
Fieker, C., & Klüners, J. (2014). Computation of Galois groups of rational polynomials. LMS Journal of Computation and Mathematics, 17(1), 141–158. https://doi.org/10.1112/s1461157013000302
LibreCat | DOI | arXiv
 
[30]
2012 | Journal Article | LibreCat-ID: 34847
Klüners, J. (2012). The Distribution of Number Fields with Wreath Products as Galois Groups . International Journal of Number Theory, 08(03), 845–858. https://doi.org/10.1142/s1793042112500492
LibreCat | DOI | arXiv
 
[29]
2011 | Journal Article | LibreCat-ID: 34885
Fouvry, É., & Klüners, J. (2011). Weighted Distribution of the 4-rank of Class Groups and Applications. International Mathematics Research Notices, 2011(16), 3618–3656. https://doi.org/10.1093/imrn/rnq223
LibreCat | DOI
 
[28]
2011 | Journal Article | LibreCat-ID: 34846
van Hoeij, M., Klüners, J., & Novocin, A. (2011). Generating subfields. Journal of Symbolic Computation, 52, 17–34. https://doi.org/10.1016/j.jsc.2012.05.010
LibreCat | DOI
 
[27]
2010 | Journal Article | LibreCat-ID: 34886
Fouvry, É., & Klüners, J. (2010). On the negative Pell equation. Annals of Mathematics, 172(3), 2035–2104. https://doi.org/10.4007/annals.2010.172.2035
LibreCat | DOI
 
[26]
2010 | Journal Article | LibreCat-ID: 34888
Fouvry, É., & Klüners, J. (2010). The parity of the period of the continued fraction of d. Proceedings of the London Mathematical Society, 101(2), 337–391. https://doi.org/10.1112/plms/pdp057
LibreCat | Files available | DOI
 
[25]
2010 | Journal Article | LibreCat-ID: 34887
Fouvry, É., & Klüners, J. (2010). On the Spiegelungssatz for the 4-rank. Algebra & Number Theory, 4(5), 493–508. https://doi.org/10.2140/ant.2010.4.493
LibreCat | DOI
 
[24]
2009 | Journal Article | LibreCat-ID: 34889
Belabas, K., van Hoeij, M., Klüners, J., & Steel, A. (2009). Factoring polynomials over global fields. Journal de Théorie Des Nombres de Bordeaux, 21(1), 15–39. https://doi.org/10.5802/jtnb.655
LibreCat | DOI | arXiv
 
[23]
2009 | Book Chapter | LibreCat-ID: 35959
Klüners, J. (2009). The van Hoeij Algorithm for Factoring Polynomials. In The LLL Algorithm. Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-642-02295-1_8
LibreCat | Files available | DOI
 
[22]
2006 | Journal Article | LibreCat-ID: 34895
Klüners, J., & Malle, G. (2006). Counting nilpotent Galois extensions. Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal), 2004(572), 1–26. https://doi.org/10.1515/crll.2004.050
LibreCat | DOI | arXiv
 
[21]
2006 | Journal Article | LibreCat-ID: 34891
Klüners, J. (2006). Asymptotics of number fields and the Cohen–Lenstra heuristics. Journal de Théorie Des Nombres de Bordeaux, 18(3), 607–615. https://doi.org/10.5802/jtnb.561
LibreCat | DOI | arXiv
 
[20]
2006 | Journal Article | LibreCat-ID: 34890
Fouvry, É., & Klüners, J. (2006). On the 4-rank of class groups of quadratic number fields. Inventiones Mathematicae, 167(3), 455–513. https://doi.org/10.1007/s00222-006-0021-2
LibreCat | Files available | DOI
 
[19]
2006 | Book Chapter | LibreCat-ID: 35958
Fouvry, É., & Klüners, J. (2006). Cohen–Lenstra Heuristics of Quadratic Number Fields. In Lecture Notes in Computer Science. Springer Berlin Heidelberg. https://doi.org/10.1007/11792086_4
LibreCat | Files available | DOI
 
[18]
2006 | Journal Article | LibreCat-ID: 34892
Klüners, J. (2006). The number of S₄-fields with given discriminant. Acta Arithmetica, 122(2), 185–194. https://doi.org/10.4064/aa122-2-3
LibreCat | DOI | arXiv
 
[17]
2005 | Journal Article | LibreCat-ID: 34894
Klüners, J. (2005). A counter example to Malle’s conjecture on the asymptotics of discriminants. Comptes Rendus Mathematique, 340(6), 411–414. https://doi.org/10.1016/j.crma.2005.02.010
LibreCat | DOI | arXiv
 
[16]
2005 | Journal Article | LibreCat-ID: 34893
Klüners, J., & Pauli, S. (2005). Computing residue class rings and Picard groups of orders. Journal of Algebra, 292(1), 47–64. https://doi.org/10.1016/j.jalgebra.2005.04.013
LibreCat | DOI
 
[15]
2005 | Misc | LibreCat-ID: 42807
Klüners, J. (2005). Über die Asymptotik von Zahlkörpern mit vorgegebener Galoisgruppe (Habilitation). Shaker Verlag.
LibreCat
 
[14]
2003 | Journal Article | LibreCat-ID: 34896
Fieker, C., & Klüners, J. (2003). Minimal discriminants for fields with small Frobenius groups as Galois groups. Journal of Number Theory, 99(2), 318–337. https://doi.org/10.1016/s0022-314x(02)00071-9
LibreCat | DOI
 
[13]
2002 | Journal Article | LibreCat-ID: 35954
Klüners, J. (2002). Algorithms for function fields. Experiment. Math. , 11(2), 171–181.
LibreCat | Files available
 
[12]
2001 | Journal Article | LibreCat-ID: 34897
Klüners, J., & Malle, G. (2001). A Database for Field Extensions of the Rationals. LMS Journal of Computation and Mathematics, 4, 182–196. https://doi.org/10.1112/s1461157000000851
LibreCat | DOI | arXiv
 
[11]
2000 | Journal Article | LibreCat-ID: 34900
Geissler, K., & Klüners, J. (2000). Galois Group Computation for Rational Polynomials. Journal of Symbolic Computation, 30(6), 653–674. https://doi.org/10.1006/jsco.2000.0377
LibreCat | DOI
 
[10]
2000 | Journal Article | LibreCat-ID: 34901
Acciaro, V., & Klüners, J. (2000). Computing Local Artin Maps, and Solvability of Norm Equations. Journal of Symbolic Computation, 30(3), 239–252. https://doi.org/10.1006/jsco.2000.0361
LibreCat | DOI
 
[9]
2000 | Journal Article | LibreCat-ID: 34899
Klüners, J., & Malle, G. (2000). Explicit Galois Realization of Transitive Groups of Degree up to 15. Journal of Symbolic Computation, 30(6), 675–716. https://doi.org/10.1006/jsco.2000.0378
LibreCat | DOI
 
[8]
2000 | Journal Article | LibreCat-ID: 34898
Klüners, J. (2000). A Polynomial with Galois GroupSL2(11). Journal of Symbolic Computation, 30(6), 733–737. https://doi.org/10.1006/jsco.2000.0380
LibreCat | DOI
 
[7]
1999 | Journal Article | LibreCat-ID: 34902
Klüners, J. (1999). On Polynomial Decompositions. Journal of Symbolic Computation, 27(3), 261–269. https://doi.org/10.1006/jsco.1998.0252
LibreCat | DOI
 
[6]
1999 | Journal Article | LibreCat-ID: 35941
Klüners, J., & Acciaro, V. (1999). Computing Automorphisms of Abelian Number Fields. Mathematics of Computation, 68(227), 1179–1186.
LibreCat | Files available
 
[5]
1998 | Journal Article | LibreCat-ID: 34905
Klüners, J. (1998). On computing subfields. A detailed description of the algorithm . Journal de Theorie Des Nombres de Bordeaux, 10(2), 243–271. 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., POHST, M., ROEGNER, K., SCHÖRNIG, M., & WILDANGER, K. (1997). KANT V4. Journal of Symbolic Computation, 24(3–4), 267–283. https://doi.org/10.1006/jsco.1996.0126
LibreCat | DOI
 
[3]
1997 | Journal Article | LibreCat-ID: 34904
Klüners, J., & Pohst, M. (1997). On Computing Subfields. Journal of Symbolic Computation, 24(3–4), 385–397. https://doi.org/10.1006/jsco.1996.0140
LibreCat | DOI
 
[2]
1997 | Dissertation | LibreCat-ID: 42806
Klüners, J. (1997). Über die Berechnung von Automorphismen und Teilkörpern algebraischer Zahlkörper (Dissertation).
LibreCat | Files available
 
[1]
1995 | Mastersthesis | LibreCat-ID: 42808
Klüners, J. (1995). Über die Berechnung von Teilkörpern algebraischer Zahlkörper (Diplomarbeit).
LibreCat | Files available
 
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Search

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Display / Sort

Citation Style: APA

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