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77 Publications
2014 | Journal Article | LibreCat-ID: 42794
Eick, B., et al. “The Constructive Membership Problem for Discrete Free Subgroups of Rank 2 of SL₂(R).” LMS Journal of Computation and Mathematics, vol. 17, no. 1, Wiley, 2014, pp. 345–59, doi:10.1112/s1461157014000047.
LibreCat
| DOI
2013 | Book Chapter | LibreCat-ID: 42805
Kirschmer, Markus, and Michael H. Mertens. “On an Analogue to the Lucas-Lehmer-Riesel Test Using Elliptic Curves.” Integers, DE GRUYTER, 2013, doi:10.1515/9783110298161.212.
LibreCat
| DOI
2013 | Journal Article | LibreCat-ID: 42796
Lorch, David, and Markus Kirschmer. “Single-Class Genera of Positive Integral Lattices.” LMS Journal of Computation and Mathematics, vol. 16, Wiley, 2013, pp. 172–86, doi:10.1112/s1461157013000107.
LibreCat
| DOI
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
2012 | Journal Article | LibreCat-ID: 42797
Kirschmer, Markus. “A Normal Form for Definite Quadratic Forms over $\mathbb{F}_{q}[t]$.” Mathematics of Computation, vol. 81, no. 279, American Mathematical Society (AMS), 2012, pp. 1619–34, doi:10.1090/s0025-5718-2011-02570-6.
LibreCat
| DOI
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.
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| DOI
2011 | Journal Article | LibreCat-ID: 42798
Kirschmer, Markus. “Finite Symplectic Matrix Groups.” Experimental Mathematics, vol. 20, no. 2, Informa UK Limited, 2011, pp. 217–28, doi:10.1080/10586458.2011.564964.
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| 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
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.
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.
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| Files available
| DOI
2009 | Dissertation | LibreCat-ID: 43453
Kirschmer, Markus. Finite Symplectic Matrix Groups (Dissertation). 2009.
LibreCat
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.
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| DOI
| arXiv