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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, 2023. https://doi.org/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 150, no. 7 (2022): 2793–2805. https://doi.org/10.1090/proc/15882.
LibreCat
| DOI
| arXiv
2022 | Journal Article | LibreCat-ID: 34835
Klüners, Jürgen. “The Asymptotics of Nilpotent Galois Groups.” Acta Arithmetica 204, no. 2 (2022): 165–84. https://doi.org/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 90, no. 329 (2021): 1483–97. https://doi.org/10.1090/mcom/3609.
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| DOI
| arXiv
2020 | Journal Article | LibreCat-ID: 34842
Elsenhans, Andreas-Stephan, Jürgen Klüners, and Florin Nicolae. “Imaginary Quadratic Number Fields with Class Groups of Small Exponent.” Acta Arithmetica 193, no. 3 (2020): 217–33. https://doi.org/10.4064/aa180220-20-3.
LibreCat
| 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 212 (2020): 311–22. https://doi.org/10.1016/j.jnt.2019.11.007.
LibreCat
| 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 93 (2018): 1–20. https://doi.org/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 167 (2016): 161–68. https://doi.org/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 17, no. 1 (2014): 141–58. https://doi.org/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 08, no. 03 (2012): 845–58. https://doi.org/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 2011, no. 16 (2011): 3618–56. https://doi.org/10.1093/imrn/rnq223.
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| DOI
2011 | Journal Article | LibreCat-ID: 34846
Hoeij, Mark van, Jürgen Klüners, and Andrew Novocin. “Generating Subfields.” Journal of Symbolic Computation 52 (2011): 17–34. https://doi.org/10.1016/j.jsc.2012.05.010.
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| DOI
2010 | Journal Article | LibreCat-ID: 34886
Fouvry, Étienne, and Jürgen Klüners. “On the Negative Pell Equation.” Annals of Mathematics 172, no. 3 (2010): 2035–2104. https://doi.org/10.4007/annals.2010.172.2035.
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| DOI
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 101, no. 2 (2010): 337–91. https://doi.org/10.1112/plms/pdp057.
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| Files available
| DOI
2010 | Journal Article | LibreCat-ID: 34887
Fouvry, Étienne, and Jürgen Klüners. “On the Spiegelungssatz for the 4-Rank.” Algebra & Number Theory 4, no. 5 (2010): 493–508. https://doi.org/10.2140/ant.2010.4.493.
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| DOI
2009 | Journal Article | LibreCat-ID: 34889
Belabas, Karim, Mark van Hoeij, Jürgen Klüners, and Allan Steel. “Factoring Polynomials over Global Fields.” Journal de Théorie Des Nombres de Bordeaux 21, no. 1 (2009): 15–39. https://doi.org/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.” In The LLL Algorithm. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. https://doi.org/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) 2004, no. 572 (2006): 1–26. https://doi.org/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 18, no. 3 (2006): 607–15. https://doi.org/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 167, no. 3 (2006): 455–513. https://doi.org/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.” In Lecture Notes in Computer Science. Berlin, Heidelberg: Springer Berlin Heidelberg, 2006. https://doi.org/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 122, no. 2 (2006): 185–94. https://doi.org/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 340, no. 6 (2005): 411–14. https://doi.org/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 292, no. 1 (2005): 47–64. https://doi.org/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). Universiät Kassel: 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 99, no. 2 (2003): 318–37. https://doi.org/10.1016/s0022-314x(02)00071-9.
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| DOI
2002 | Journal Article | LibreCat-ID: 35954
Klüners, Jürgen. “Algorithms for Function Fields.” Experiment. Math. 11, no. 2 (2002): 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 4 (2001): 182–96. https://doi.org/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 30, no. 6 (2000): 653–74. https://doi.org/10.1006/jsco.2000.0377.
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| 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 30, no. 3 (2000): 239–52. https://doi.org/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 30, no. 6 (2000): 675–716. https://doi.org/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 30, no. 6 (2000): 733–37. https://doi.org/10.1006/jsco.2000.0380.
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| DOI
1999 | Journal Article | LibreCat-ID: 34902
Klüners, Jürgen. “On Polynomial Decompositions.” Journal of Symbolic Computation 27, no. 3 (1999): 261–69. https://doi.org/10.1006/jsco.1998.0252.
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| DOI
1999 | Journal Article | LibreCat-ID: 35941
Klüners, Jürgen, and Vincenzo Acciaro. “Computing Automorphisms of Abelian Number Fields.” Mathematics of Computation 68, no. 227 (1999): 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 10, no. 2 (1998): 243–71. https://jtnb.centre-mersenne.org/item/?id=JTNB_1998__10_2_243_0.
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| Files available
| DOI
1997 | Journal Article | LibreCat-ID: 34903
DABERKOW, M., C. FIEKER, Jürgen Klüners, M. POHST, K. ROEGNER, M. SCHÖRNIG, and K. WILDANGER. “KANT V4.” Journal of Symbolic Computation 24, no. 3–4 (1997): 267–83. https://doi.org/10.1006/jsco.1996.0126.
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| DOI
1997 | Journal Article | LibreCat-ID: 34904
Klüners, Jürgen, and Michael Pohst. “On Computing Subfields.” Journal of Symbolic Computation 24, no. 3–4 (1997): 385–97. https://doi.org/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). TU Berlin, 1997.
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| Files available
1995 | Mastersthesis | LibreCat-ID: 42808
Klüners, Jürgen. Über Die Berechnung von Teilkörpern Algebraischer Zahlkörper (Diplomarbeit). TU Berlin, 1995.
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| Files available