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76 Publications
2010 | Journal Article | LibreCat-ID: 42803
M. Kirschmer and J. Voight, “Algorithmic Enumeration of Ideal Classes for Quaternion Orders,” SIAM Journal on Computing, vol. 39, no. 5, pp. 1714–1747, 2010, doi: 10.1137/080734467.
LibreCat
| DOI
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
2009 | Dissertation | LibreCat-ID: 43453
M. Kirschmer, Finite symplectic matrix groups (Dissertation). RWTH Aachen University, 2009.
LibreCat
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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| 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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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.
LibreCat
| 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.
LibreCat
| 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.
LibreCat
| DOI
2005 | Misc | LibreCat-ID: 42807
J. Klüners, Über die Asymptotik von Zahlkörpern mit vorgegebener Galoisgruppe (Habilitation). Universiät Kassel: Shaker Verlag, 2005.
LibreCat
2005 | Mastersthesis | LibreCat-ID: 43455
M. Kirschmer, Konstruktive Idealtheorie in Quaternionenalgebren (Diplomarbeit). Universität Ulm, 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.
LibreCat
| 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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| DOI
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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| DOI
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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