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77 Publications
2014 | Journal Article | LibreCat-ID: 42794
Eick, B., Kirschmer, M., & Leedham-Green, C. (2014). The constructive membership problem for discrete free subgroups of rank 2 of SL₂(R). LMS Journal of Computation and Mathematics, 17(1), 345–359. https://doi.org/10.1112/s1461157014000047
LibreCat
| DOI
2013 | Book Chapter | LibreCat-ID: 42805
Kirschmer, M., & Mertens, M. H. (2013). On an analogue to the Lucas-Lehmer-Riesel test using elliptic curves. In Integers. DE GRUYTER. https://doi.org/10.1515/9783110298161.212
LibreCat
| DOI
2013 | Journal Article | LibreCat-ID: 42796
Lorch, D., & Kirschmer, M. (2013). Single-class genera of positive integral lattices. LMS Journal of Computation and Mathematics, 16, 172–186. https://doi.org/10.1112/s1461157013000107
LibreCat
| DOI
2012 | Journal Article | LibreCat-ID: 34847
Klüners, J. (2012). The Distribution of Number Fields with Wreath Products as Galois Groups . International Journal of Number Theory, 08(03), 845–858. https://doi.org/10.1142/s1793042112500492
LibreCat
| DOI
| arXiv
2012 | Journal Article | LibreCat-ID: 42797
Kirschmer, M. (2012). A normal form for definite quadratic forms over $\mathbb{F}_{q}[t]$. Mathematics of Computation, 81(279), 1619–1634. https://doi.org/10.1090/s0025-5718-2011-02570-6
LibreCat
| DOI
2011 | Journal Article | LibreCat-ID: 34885
Fouvry, É., & Klüners, J. (2011). Weighted Distribution of the 4-rank of Class Groups and Applications. International Mathematics Research Notices, 2011(16), 3618–3656. https://doi.org/10.1093/imrn/rnq223
LibreCat
| DOI
2011 | Journal Article | LibreCat-ID: 34846
van Hoeij, M., Klüners, J., & Novocin, A. (2011). Generating subfields. Journal of Symbolic Computation, 52, 17–34. https://doi.org/10.1016/j.jsc.2012.05.010
LibreCat
| DOI
2011 | Journal Article | LibreCat-ID: 42798
Kirschmer, M. (2011). Finite Symplectic Matrix Groups. Experimental Mathematics, 20(2), 217–228. https://doi.org/10.1080/10586458.2011.564964
LibreCat
| DOI
2010 | Journal Article | LibreCat-ID: 34886
Fouvry, É., & Klüners, J. (2010). On the negative Pell equation. Annals of Mathematics, 172(3), 2035–2104. https://doi.org/10.4007/annals.2010.172.2035
LibreCat
| DOI
2010 | Journal Article | LibreCat-ID: 34888
Fouvry, É., & Klüners, J. (2010). The parity of the period of the continued fraction of d. Proceedings of the London Mathematical Society, 101(2), 337–391. https://doi.org/10.1112/plms/pdp057
LibreCat
| Files available
| DOI
2010 | Journal Article | LibreCat-ID: 34887
Fouvry, É., & Klüners, J. (2010). On the Spiegelungssatz for the 4-rank. Algebra & Number Theory, 4(5), 493–508. https://doi.org/10.2140/ant.2010.4.493
LibreCat
| DOI
2010 | Journal Article | LibreCat-ID: 42803
Kirschmer, M., & Voight, J. (2010). Algorithmic Enumeration of Ideal Classes for Quaternion Orders. SIAM Journal on Computing, 39(5), 1714–1747. https://doi.org/10.1137/080734467
LibreCat
| DOI
2009 | Journal Article | LibreCat-ID: 34889
Belabas, K., van Hoeij, M., Klüners, J., & Steel, A. (2009). Factoring polynomials over global fields. Journal de Théorie Des Nombres de Bordeaux, 21(1), 15–39. https://doi.org/10.5802/jtnb.655
LibreCat
| DOI
| arXiv
2009 | Book Chapter | LibreCat-ID: 35959
Klüners, J. (2009). The van Hoeij Algorithm for Factoring Polynomials. In The LLL Algorithm. Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-642-02295-1_8
LibreCat
| Files available
| DOI
2009 | Dissertation | LibreCat-ID: 43453
Kirschmer, M. (2009). Finite symplectic matrix groups (Dissertation).
LibreCat
2006 | Journal Article | LibreCat-ID: 34895
Klüners, J., & Malle, G. (2006). Counting nilpotent Galois extensions. Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal), 2004(572), 1–26. https://doi.org/10.1515/crll.2004.050
LibreCat
| DOI
| arXiv
2006 | Journal Article | LibreCat-ID: 34891
Klüners, J. (2006). Asymptotics of number fields and the Cohen–Lenstra heuristics. Journal de Théorie Des Nombres de Bordeaux, 18(3), 607–615. https://doi.org/10.5802/jtnb.561
LibreCat
| DOI
| arXiv
2006 | Journal Article | LibreCat-ID: 34890
Fouvry, É., & Klüners, J. (2006). On the 4-rank of class groups of quadratic number fields. Inventiones Mathematicae, 167(3), 455–513. https://doi.org/10.1007/s00222-006-0021-2
LibreCat
| Files available
| DOI
2006 | Book Chapter | LibreCat-ID: 35958
Fouvry, É., & Klüners, J. (2006). Cohen–Lenstra Heuristics of Quadratic Number Fields. In Lecture Notes in Computer Science. Springer Berlin Heidelberg. https://doi.org/10.1007/11792086_4
LibreCat
| Files available
| DOI
2006 | Journal Article | LibreCat-ID: 34892
Klüners, J. (2006). The number of S₄-fields with given discriminant. Acta Arithmetica, 122(2), 185–194. https://doi.org/10.4064/aa122-2-3
LibreCat
| DOI
| arXiv