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