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41 Publications
2023 | Journal Article | LibreCat-ID: 49372
Klüners, Jürgen, and Jiuya Wang. “Idélic Approach in Enumerating Heisenberg Extensions.” La Matematica, Springer Science and Business Media LLC, 2023, doi:10.1007/s44007-023-00067-w.
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| DOI
2022 | Journal Article | LibreCat-ID: 34839
Klüners, Jürgen, and Jiuya 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, American Mathematical Society (AMS), 2022, pp. 2793–805, doi:10.1090/proc/15882.
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| DOI
| arXiv
2022 | Journal Article | LibreCat-ID: 34835
Klüners, Jürgen. “The Asymptotics of Nilpotent Galois Groups.” Acta Arithmetica, vol. 204, no. 2, Institute of Mathematics, Polish Academy of Sciences, 2022, pp. 165–84, doi:10.4064/aa211207-16-5.
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| DOI
| arXiv
2021 | Journal Article | LibreCat-ID: 34840
Klüners, Jürgen, and Toru Komatsu. “Imaginary Multiquadratic Number Fields with Class Group of Exponent $3$ and $5$.” Mathematics of Computation, vol. 90, no. 329, American Mathematical Society (AMS), 2021, pp. 1483–97, doi:10.1090/mcom/3609.
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| DOI
| arXiv
2020 | Journal Article | LibreCat-ID: 34842
Elsenhans, Andreas-Stephan, et al. “Imaginary Quadratic Number Fields with Class Groups of Small Exponent.” Acta Arithmetica, vol. 193, no. 3, Institute of Mathematics, Polish Academy of Sciences, 2020, pp. 217–33, doi:10.4064/aa180220-20-3.
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| DOI
| arXiv
2020 | Journal Article | LibreCat-ID: 34841
Klüners, Jürgen, and Raphael Müller. “The Conductor Density of Local Function Fields with Abelian Galois Group.” Journal of Number Theory, vol. 212, Elsevier BV, 2020, pp. 311–22, doi:10.1016/j.jnt.2019.11.007.
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| DOI
| arXiv
2018 | Journal Article | LibreCat-ID: 34843
Elsenhans, Andreas-Stephan, and Jürgen Klüners. “Computing Subfields of Number Fields and Applications to Galois Group Computations.” Journal of Symbolic Computation, vol. 93, Elsevier BV, 2018, pp. 1–20, doi:10.1016/j.jsc.2018.04.013.
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| DOI
| arXiv
2016 | Journal Article | LibreCat-ID: 34844
Klüners, Jürgen, and Florin Nicolae. “Are Number Fields Determined by Artin L-Functions?” Journal of Number Theory, vol. 167, Elsevier BV, 2016, pp. 161–68, doi:10.1016/j.jnt.2016.03.023.
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| DOI
| arXiv
2014 | Journal Article | LibreCat-ID: 34845
Fieker, Claus, and Jürgen Klüners. “Computation of Galois Groups of Rational Polynomials.” LMS Journal of Computation and Mathematics, vol. 17, no. 1, Wiley, 2014, pp. 141–58, doi:10.1112/s1461157013000302.
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| DOI
| arXiv
2012 | Journal Article | LibreCat-ID: 34847
Klüners, Jürgen. “The Distribution of Number Fields with Wreath Products as Galois Groups .” International Journal of Number Theory, vol. 08, no. 03, World Scientific Pub Co Pte Lt, 2012, pp. 845–58, doi:10.1142/s1793042112500492.
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| DOI
| arXiv
2011 | Journal Article | LibreCat-ID: 34885
Fouvry, Étienne, and Jürgen Klüners. “Weighted Distribution of the 4-Rank of Class Groups and Applications.” International Mathematics Research Notices, vol. 2011, no. 16, Oxford University Press (OUP), 2011, pp. 3618–56, doi:10.1093/imrn/rnq223.
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2011 | Journal Article | LibreCat-ID: 34846
van Hoeij, Mark, et al. “Generating Subfields.” Journal of Symbolic Computation, vol. 52, Elsevier BV, 2011, pp. 17–34, doi:10.1016/j.jsc.2012.05.010.
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2010 | Journal Article | LibreCat-ID: 34886
Fouvry, Étienne, and Jürgen Klüners. “On the Negative Pell Equation.” Annals of Mathematics, vol. 172, no. 3, Annals of Mathematics, 2010, pp. 2035–104, doi:10.4007/annals.2010.172.2035.
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2010 | Journal Article | LibreCat-ID: 34888
Fouvry, Étienne, and Jürgen Klüners. “The Parity of the Period of the Continued Fraction of d.” Proceedings of the London Mathematical Society, vol. 101, no. 2, Wiley, 2010, pp. 337–91, doi:10.1112/plms/pdp057.
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| DOI
2010 | Journal Article | LibreCat-ID: 34887
Fouvry, Étienne, and Jürgen Klüners. “On the Spiegelungssatz for the 4-Rank.” Algebra & Number Theory, vol. 4, no. 5, Mathematical Sciences Publishers, 2010, pp. 493–508, doi:10.2140/ant.2010.4.493.
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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.
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| 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
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.
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| 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.
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| 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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| Files available
| 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.
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| 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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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.
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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.
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| 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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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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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.
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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.
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| DOI
1997 | Dissertation | LibreCat-ID: 42806
Klüners, Jürgen. Über Die Berechnung von Automorphismen Und Teilkörpern Algebraischer Zahlkörper (Dissertation). 1997.
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1995 | Mastersthesis | LibreCat-ID: 42808
Klüners, Jürgen. Über Die Berechnung von Teilkörpern Algebraischer Zahlkörper (Diplomarbeit). 1995.
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