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76 Publications
2010 | Journal Article | LibreCat-ID: 42803
Kirschmer, Markus, and John Voight. “Algorithmic Enumeration of Ideal Classes for Quaternion Orders.” SIAM Journal on Computing, vol. 39, no. 5, Society for Industrial & Applied Mathematics (SIAM), 2010, pp. 1714–47, doi:10.1137/080734467.
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| DOI
2009 | Journal Article | LibreCat-ID: 34889
Belabas, Karim, et al. “Factoring Polynomials over Global Fields.” Journal de Théorie Des Nombres de Bordeaux, vol. 21, no. 1, Cellule MathDoc/CEDRAM, 2009, pp. 15–39, doi:10.5802/jtnb.655.
LibreCat
| DOI
| arXiv
2009 | Book Chapter | LibreCat-ID: 35959
Klüners, Jürgen. “The van Hoeij Algorithm for Factoring Polynomials.” The LLL Algorithm, Springer Berlin Heidelberg, 2009, doi:10.1007/978-3-642-02295-1_8.
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| Files available
| DOI
2009 | Dissertation | LibreCat-ID: 43453
Kirschmer, Markus. Finite Symplectic Matrix Groups (Dissertation). 2009.
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2006 | Journal Article | LibreCat-ID: 34895
Klüners, Jürgen, and G. Malle. “Counting Nilpotent Galois Extensions.” Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal), vol. 2004, no. 572, Walter de Gruyter GmbH, 2006, pp. 1–26, doi:10.1515/crll.2004.050.
LibreCat
| DOI
| arXiv
2006 | Journal Article | LibreCat-ID: 34891
Klüners, Jürgen. “Asymptotics of Number Fields and the Cohen–Lenstra Heuristics.” Journal de Théorie Des Nombres de Bordeaux, vol. 18, no. 3, Cellule MathDoc/CEDRAM, 2006, pp. 607–15, doi:10.5802/jtnb.561.
LibreCat
| DOI
| arXiv
2006 | Journal Article | LibreCat-ID: 34890
Fouvry, Étienne, and Jürgen Klüners. “On the 4-Rank of Class Groups of Quadratic Number Fields.” Inventiones Mathematicae, vol. 167, no. 3, Springer Science and Business Media LLC, 2006, pp. 455–513, doi:10.1007/s00222-006-0021-2.
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| Files available
| DOI
2006 | Book Chapter | LibreCat-ID: 35958
Fouvry, Étienne, and Jürgen Klüners. “Cohen–Lenstra Heuristics of Quadratic Number Fields.” Lecture Notes in Computer Science, Springer Berlin Heidelberg, 2006, doi:10.1007/11792086_4.
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2006 | Journal Article | LibreCat-ID: 34892
Klüners, Jürgen. “The Number of S₄-Fields with given Discriminant.” Acta Arithmetica, vol. 122, no. 2, Institute of Mathematics, Polish Academy of Sciences, 2006, pp. 185–94, doi:10.4064/aa122-2-3.
LibreCat
| DOI
| arXiv
2005 | Journal Article | LibreCat-ID: 34894
Klüners, Jürgen. “A Counter Example to Malle’s Conjecture on the Asymptotics of Discriminants.” Comptes Rendus Mathematique, vol. 340, no. 6, Elsevier BV, 2005, pp. 411–14, doi:10.1016/j.crma.2005.02.010.
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| DOI
| arXiv
2005 | Journal Article | LibreCat-ID: 34893
Klüners, Jürgen, and Sebastian Pauli. “Computing Residue Class Rings and Picard Groups of Orders.” Journal of Algebra, vol. 292, no. 1, Elsevier BV, 2005, pp. 47–64, doi:10.1016/j.jalgebra.2005.04.013.
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| DOI
2005 | Misc | LibreCat-ID: 42807
Klüners, Jürgen. Über die Asymptotik von Zahlkörpern mit vorgegebener Galoisgruppe (Habilitation). Shaker Verlag, 2005.
LibreCat
2005 | Mastersthesis | LibreCat-ID: 43455
Kirschmer, Markus. Konstruktive Idealtheorie in Quaternionenalgebren (Diplomarbeit). 2005.
LibreCat
2003 | Journal Article | LibreCat-ID: 34896
Fieker, Claus, and Jürgen Klüners. “Minimal Discriminants for Fields with Small Frobenius Groups as Galois Groups.” Journal of Number Theory, vol. 99, no. 2, Elsevier BV, 2003, pp. 318–37, doi:10.1016/s0022-314x(02)00071-9.
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2002 | Journal Article | LibreCat-ID: 35954
Klüners, Jürgen. “Algorithms for Function Fields.” Experiment. Math. , vol. 11, no. 2, Elsevier BV, 2002, pp. 171–81.
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| Files available
2001 | Journal Article | LibreCat-ID: 34897
Klüners, Jürgen, and Gunter Malle. “A Database for Field Extensions of the Rationals.” LMS Journal of Computation and Mathematics, vol. 4, Wiley, 2001, pp. 182–96, doi:10.1112/s1461157000000851.
LibreCat
| DOI
| arXiv
2000 | Journal Article | LibreCat-ID: 34900
Geissler, Katharina, and Jürgen Klüners. “Galois Group Computation for Rational Polynomials.” Journal of Symbolic Computation, vol. 30, no. 6, Elsevier BV, 2000, pp. 653–74, doi:10.1006/jsco.2000.0377.
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2000 | Journal Article | LibreCat-ID: 34901
Acciaro, Vincenzo, and Jürgen Klüners. “Computing Local Artin Maps, and Solvability of Norm Equations.” Journal of Symbolic Computation, vol. 30, no. 3, Elsevier BV, 2000, pp. 239–52, doi:10.1006/jsco.2000.0361.
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2000 | Journal Article | LibreCat-ID: 34899
Klüners, Jürgen, and Gunter Malle. “Explicit Galois Realization of Transitive Groups of Degree up to 15.” Journal of Symbolic Computation, vol. 30, no. 6, Elsevier BV, 2000, pp. 675–716, doi:10.1006/jsco.2000.0378.
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| DOI
2000 | Journal Article | LibreCat-ID: 34898
Klüners, Jürgen. “A Polynomial with Galois GroupSL2(11).” Journal of Symbolic Computation, vol. 30, no. 6, Elsevier BV, 2000, pp. 733–37, doi:10.1006/jsco.2000.0380.
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