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77 Publications
2014 | Journal Article | LibreCat-ID: 42794
@article{Eick_Kirschmer_Leedham-Green_2014, title={The constructive membership problem for discrete free subgroups of rank 2 of SL₂(R)}, volume={17}, DOI={10.1112/s1461157014000047}, number={1}, journal={LMS Journal of Computation and Mathematics}, publisher={Wiley}, author={Eick, B. and Kirschmer, Markus and Leedham-Green, C.}, year={2014}, pages={345–359} }
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| DOI
2013 | Book Chapter | LibreCat-ID: 42805
@inbook{Kirschmer_Mertens_2013, title={On an analogue to the Lucas-Lehmer-Riesel test using elliptic curves}, DOI={10.1515/9783110298161.212}, booktitle={Integers}, publisher={DE GRUYTER}, author={Kirschmer, Markus and Mertens, Michael H.}, year={2013} }
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| DOI
2013 | Journal Article | LibreCat-ID: 42796
@article{Lorch_Kirschmer_2013, title={Single-class genera of positive integral lattices}, volume={16}, DOI={10.1112/s1461157013000107}, journal={LMS Journal of Computation and Mathematics}, publisher={Wiley}, author={Lorch, David and Kirschmer, Markus}, year={2013}, pages={172–186} }
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2012 | Journal Article | LibreCat-ID: 34847
@article{Klüners_2012, title={The Distribution of Number Fields with Wreath Products as Galois Groups }, volume={08}, DOI={10.1142/s1793042112500492}, number={03}, journal={International Journal of Number Theory}, publisher={World Scientific Pub Co Pte Lt}, author={Klüners, Jürgen}, year={2012}, pages={845–858} }
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| DOI
| arXiv
2012 | Journal Article | LibreCat-ID: 42797
@article{Kirschmer_2012, title={A normal form for definite quadratic forms over $\mathbb{F}_{q}[t]$}, volume={81}, DOI={10.1090/s0025-5718-2011-02570-6}, number={279}, journal={Mathematics of Computation}, publisher={American Mathematical Society (AMS)}, author={Kirschmer, Markus}, year={2012}, pages={1619–1634} }
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| DOI
2011 | Journal Article | LibreCat-ID: 34885
@article{Fouvry_Klüners_2011, title={Weighted Distribution of the 4-rank of Class Groups and Applications}, volume={2011}, DOI={10.1093/imrn/rnq223}, number={16}, journal={International Mathematics Research Notices}, publisher={Oxford University Press (OUP)}, author={Fouvry, Étienne and Klüners, Jürgen}, year={2011}, pages={3618–3656} }
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| DOI
2011 | Journal Article | LibreCat-ID: 34846
@article{van Hoeij_Klüners_Novocin_2011, title={Generating subfields}, volume={52}, DOI={10.1016/j.jsc.2012.05.010}, journal={Journal of Symbolic Computation}, publisher={Elsevier BV}, author={van Hoeij, Mark and Klüners, Jürgen and Novocin, Andrew}, year={2011}, pages={17–34} }
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2011 | Journal Article | LibreCat-ID: 42798
@article{Kirschmer_2011, title={Finite Symplectic Matrix Groups}, volume={20}, DOI={10.1080/10586458.2011.564964}, number={2}, journal={Experimental Mathematics}, publisher={Informa UK Limited}, author={Kirschmer, Markus}, year={2011}, pages={217–228} }
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2010 | Journal Article | LibreCat-ID: 34886
@article{Fouvry_Klüners_2010, title={On the negative Pell equation}, volume={172}, DOI={10.4007/annals.2010.172.2035}, number={3}, journal={Annals of Mathematics}, publisher={Annals of Mathematics}, author={Fouvry, Étienne and Klüners, Jürgen}, year={2010}, pages={2035–2104} }
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2010 | Journal Article | LibreCat-ID: 34888
@article{Fouvry_Klüners_2010, title={The parity of the period of the continued fraction of d}, volume={101}, DOI={10.1112/plms/pdp057}, number={2}, journal={Proceedings of the London Mathematical Society}, publisher={Wiley}, author={Fouvry, Étienne and Klüners, Jürgen}, year={2010}, pages={337–391} }
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| Files available
| DOI
2010 | Journal Article | LibreCat-ID: 34887
@article{Fouvry_Klüners_2010, title={On the Spiegelungssatz for the 4-rank}, volume={4}, DOI={10.2140/ant.2010.4.493}, number={5}, journal={Algebra & Number Theory}, publisher={Mathematical Sciences Publishers}, author={Fouvry, Étienne and Klüners, Jürgen}, year={2010}, pages={493–508} }
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2010 | Journal Article | LibreCat-ID: 42803
@article{Kirschmer_Voight_2010, title={Algorithmic Enumeration of Ideal Classes for Quaternion Orders}, volume={39}, DOI={10.1137/080734467}, number={5}, journal={SIAM Journal on Computing}, publisher={Society for Industrial & Applied Mathematics (SIAM)}, author={Kirschmer, Markus and Voight, John}, year={2010}, pages={1714–1747} }
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2009 | Journal Article | LibreCat-ID: 34889
@article{Belabas_van Hoeij_Klüners_Steel_2009, title={Factoring polynomials over global fields}, volume={21}, DOI={10.5802/jtnb.655}, number={1}, journal={Journal de Théorie des Nombres de Bordeaux}, publisher={Cellule MathDoc/CEDRAM}, author={Belabas, Karim and van Hoeij, Mark and Klüners, Jürgen and Steel, Allan}, year={2009}, pages={15–39} }
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| DOI
| arXiv
2009 | Book Chapter | LibreCat-ID: 35959
@inbook{Klüners_2009, place={Berlin, Heidelberg}, title={The van Hoeij Algorithm for Factoring Polynomials}, DOI={10.1007/978-3-642-02295-1_8}, booktitle={The LLL Algorithm}, publisher={Springer Berlin Heidelberg}, author={Klüners, Jürgen}, year={2009} }
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| Files available
| DOI
2009 | Dissertation | LibreCat-ID: 43453
@book{Kirschmer_2009, place={RWTH Aachen University}, title={Finite symplectic matrix groups (Dissertation)}, author={Kirschmer, Markus}, year={2009} }
LibreCat
2006 | Journal Article | LibreCat-ID: 34895
@article{Klüners_Malle_2006, title={Counting nilpotent Galois extensions}, volume={2004}, DOI={10.1515/crll.2004.050}, number={572}, journal={Journal für die reine und angewandte Mathematik (Crelles Journal)}, publisher={Walter de Gruyter GmbH}, author={Klüners, Jürgen and Malle, G.}, year={2006}, pages={1–26} }
LibreCat
| DOI
| arXiv
2006 | Journal Article | LibreCat-ID: 34891
@article{Klüners_2006, title={Asymptotics of number fields and the Cohen–Lenstra heuristics}, volume={18}, DOI={10.5802/jtnb.561}, number={3}, journal={Journal de Théorie des Nombres de Bordeaux}, publisher={Cellule MathDoc/CEDRAM}, author={Klüners, Jürgen}, year={2006}, pages={607–615} }
LibreCat
| DOI
| arXiv
2006 | Journal Article | LibreCat-ID: 34890
@article{Fouvry_Klüners_2006, title={On the 4-rank of class groups of quadratic number fields}, volume={167}, DOI={10.1007/s00222-006-0021-2}, number={3}, journal={Inventiones mathematicae}, publisher={Springer Science and Business Media LLC}, author={Fouvry, Étienne and Klüners, Jürgen}, year={2006}, pages={455–513} }
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| Files available
| DOI
2006 | Book Chapter | LibreCat-ID: 35958
@inbook{Fouvry_Klüners_2006, place={Berlin, Heidelberg}, title={Cohen–Lenstra Heuristics of Quadratic Number Fields}, DOI={10.1007/11792086_4}, booktitle={Lecture Notes in Computer Science}, publisher={Springer Berlin Heidelberg}, author={Fouvry, Étienne and Klüners, Jürgen}, year={2006} }
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| Files available
| DOI
2006 | Journal Article | LibreCat-ID: 34892
@article{Klüners_2006, title={The number of S₄-fields with given discriminant}, volume={122}, DOI={10.4064/aa122-2-3}, number={2}, journal={Acta Arithmetica}, publisher={Institute of Mathematics, Polish Academy of Sciences}, author={Klüners, Jürgen}, year={2006}, pages={185–194} }
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| arXiv