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41 Publications
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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| 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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| DOI
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.
LibreCat
| 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.
LibreCat
| DOI
2005 | Misc | LibreCat-ID: 42807
Klüners, Jürgen. Über die Asymptotik von Zahlkörpern mit vorgegebener Galoisgruppe (Habilitation). Shaker Verlag, 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.
LibreCat
| DOI
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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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.
LibreCat
| DOI
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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| DOI
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.
LibreCat
| DOI
1999 | Journal Article | LibreCat-ID: 34902
Klüners, Jürgen. “On Polynomial Decompositions.” Journal of Symbolic Computation, vol. 27, no. 3, Elsevier BV, 1999, pp. 261–69, doi:10.1006/jsco.1998.0252.
LibreCat
| DOI
1999 | Journal Article | LibreCat-ID: 35941
Klüners, Jürgen, and Vincenzo Acciaro. “Computing Automorphisms of Abelian Number Fields.” Mathematics of Computation, vol. 68, no. 227, American Mathematical Society (AMS), 1999, pp. 1179–86.
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| Files available
1998 | Journal Article | LibreCat-ID: 34905
Klüners, Jürgen. “On Computing Subfields. A Detailed Description of the Algorithm .” Journal de Theorie Des Nombres de Bordeaux, vol. 10, no. 2, Elsevier BV, 1998, pp. 243–71, doi:https://jtnb.centre-mersenne.org/item/?id=JTNB_1998__10_2_243_0.
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1997 | Journal Article | LibreCat-ID: 34903
DABERKOW, M., et al. “KANT V4.” Journal of Symbolic Computation, vol. 24, no. 3–4, Elsevier BV, 1997, pp. 267–83, doi:10.1006/jsco.1996.0126.
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1997 | Journal Article | LibreCat-ID: 34904
Klüners, Jürgen, and Michael Pohst. “On Computing Subfields.” Journal of Symbolic Computation, vol. 24, no. 3–4, Elsevier BV, 1997, pp. 385–97, doi:10.1006/jsco.1996.0140.
LibreCat
| DOI
1997 | Dissertation | LibreCat-ID: 42806
Klüners, Jürgen. Über Die Berechnung von Automorphismen Und Teilkörpern Algebraischer Zahlkörper (Dissertation). 1997.
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| Files available