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77 Publications
2014 | Journal Article | LibreCat-ID: 42794
B. Eick, M. Kirschmer, and C. Leedham-Green, “The constructive membership problem for discrete free subgroups of rank 2 of SL₂(R),” LMS Journal of Computation and Mathematics, vol. 17, no. 1, pp. 345–359, 2014, doi: 10.1112/s1461157014000047.
LibreCat
| DOI
2013 | Journal Article | LibreCat-ID: 42796
D. Lorch and M. Kirschmer, “Single-class genera of positive integral lattices,” LMS Journal of Computation and Mathematics, vol. 16, pp. 172–186, 2013, doi: 10.1112/s1461157013000107.
LibreCat
| DOI
2012 | Journal Article | LibreCat-ID: 34847
J. Klüners, “The Distribution of Number Fields with Wreath Products as Galois Groups ,” International Journal of Number Theory, vol. 08, no. 03, pp. 845–858, 2012, doi: 10.1142/s1793042112500492.
LibreCat
| DOI
| arXiv
2012 | Journal Article | LibreCat-ID: 42797
M. Kirschmer, “A normal form for definite quadratic forms over $\mathbb{F}_{q}[t]$,” Mathematics of Computation, vol. 81, no. 279, pp. 1619–1634, 2012, doi: 10.1090/s0025-5718-2011-02570-6.
LibreCat
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2011 | Journal Article | LibreCat-ID: 34885
É. Fouvry and J. Klüners, “Weighted Distribution of the 4-rank of Class Groups and Applications,” International Mathematics Research Notices, vol. 2011, no. 16, pp. 3618–3656, 2011, doi: 10.1093/imrn/rnq223.
LibreCat
| DOI
2011 | Journal Article | LibreCat-ID: 34846
M. van Hoeij, J. Klüners, and A. Novocin, “Generating subfields,” Journal of Symbolic Computation, vol. 52, pp. 17–34, 2011, doi: 10.1016/j.jsc.2012.05.010.
LibreCat
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2011 | Journal Article | LibreCat-ID: 42798
M. Kirschmer, “Finite Symplectic Matrix Groups,” Experimental Mathematics, vol. 20, no. 2, pp. 217–228, 2011, doi: 10.1080/10586458.2011.564964.
LibreCat
| DOI
2010 | Journal Article | LibreCat-ID: 34886
É. Fouvry and J. Klüners, “On the negative Pell equation,” Annals of Mathematics, vol. 172, no. 3, pp. 2035–2104, 2010, doi: 10.4007/annals.2010.172.2035.
LibreCat
| DOI
2010 | Journal Article | LibreCat-ID: 34888
É. Fouvry and J. Klüners, “The parity of the period of the continued fraction of d,” Proceedings of the London Mathematical Society, vol. 101, no. 2, pp. 337–391, 2010, doi: 10.1112/plms/pdp057.
LibreCat
| Files available
| DOI
2010 | Journal Article | LibreCat-ID: 34887
É. Fouvry and J. Klüners, “On the Spiegelungssatz for the 4-rank,” Algebra & Number Theory, vol. 4, no. 5, pp. 493–508, 2010, doi: 10.2140/ant.2010.4.493.
LibreCat
| DOI
2010 | Journal Article | LibreCat-ID: 42803
M. Kirschmer and J. Voight, “Algorithmic Enumeration of Ideal Classes for Quaternion Orders,” SIAM Journal on Computing, vol. 39, no. 5, pp. 1714–1747, 2010, doi: 10.1137/080734467.
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2009 | Journal Article | LibreCat-ID: 34889
K. Belabas, M. van Hoeij, J. Klüners, and A. Steel, “Factoring polynomials over global fields,” Journal de Théorie des Nombres de Bordeaux, vol. 21, no. 1, pp. 15–39, 2009, doi: 10.5802/jtnb.655.
LibreCat
| DOI
| arXiv
2009 | Book Chapter | LibreCat-ID: 35959
J. Klüners, “The van Hoeij Algorithm for Factoring Polynomials,” in The LLL Algorithm, Berlin, Heidelberg: Springer Berlin Heidelberg, 2009.
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| Files available
| DOI
2009 | Dissertation | LibreCat-ID: 43453
M. Kirschmer, Finite symplectic matrix groups (Dissertation). RWTH Aachen University, 2009.
LibreCat
2006 | Journal Article | LibreCat-ID: 34895
J. Klüners and G. Malle, “Counting nilpotent Galois extensions,” Journal für die reine und angewandte Mathematik (Crelles Journal), vol. 2004, no. 572, pp. 1–26, 2006, doi: 10.1515/crll.2004.050.
LibreCat
| DOI
| arXiv
2006 | Journal Article | LibreCat-ID: 34891
J. Klüners, “Asymptotics of number fields and the Cohen–Lenstra heuristics,” Journal de Théorie des Nombres de Bordeaux, vol. 18, no. 3, pp. 607–615, 2006, doi: 10.5802/jtnb.561.
LibreCat
| DOI
| arXiv
2006 | Journal Article | LibreCat-ID: 34890
É. Fouvry and J. Klüners, “On the 4-rank of class groups of quadratic number fields,” Inventiones mathematicae, vol. 167, no. 3, pp. 455–513, 2006, doi: 10.1007/s00222-006-0021-2.
LibreCat
| Files available
| DOI
2006 | Book Chapter | LibreCat-ID: 35958
É. Fouvry and J. Klüners, “Cohen–Lenstra Heuristics of Quadratic Number Fields,” in Lecture Notes in Computer Science, Berlin, Heidelberg: Springer Berlin Heidelberg, 2006.
LibreCat
| Files available
| DOI
2006 | Journal Article | LibreCat-ID: 34892
J. Klüners, “The number of S₄-fields with given discriminant,” Acta Arithmetica, vol. 122, no. 2, pp. 185–194, 2006, doi: 10.4064/aa122-2-3.
LibreCat
| DOI
| arXiv