Please note that LibreCat no longer supports Internet Explorer versions 8 or 9 (or earlier).
We recommend upgrading to the latest Internet Explorer, Google Chrome, or Firefox.
43 Publications
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.
LibreCat
| 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.
LibreCat
| 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.
LibreCat
| 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.
LibreCat
| 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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| 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, vol. 101, no. 2, Wiley, 2010, pp. 337–91, doi:10.1112/plms/pdp057.
LibreCat
| Files available
| 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.
LibreCat
| 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.
LibreCat
| 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.
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.
LibreCat
| 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.
LibreCat
| 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.
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