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43 Publications
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.
LibreCat
| 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.
LibreCat
| 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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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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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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| 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.
LibreCat
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| 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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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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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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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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