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21 Publications
2016 | Misc | LibreCat-ID: 43454
@book{Kirschmer_2016, place={RWTH Aachen University}, title={Definite quadratic and hermitian forms with small class number (Habilitation)}, author={Kirschmer, Markus}, year={2016} }
LibreCat
2014 | Journal Article | LibreCat-ID: 42793
@article{Kirschmer_2014, title={One-class genera of maximal integral quadratic forms}, volume={136}, DOI={10.1016/j.jnt.2013.10.007}, journal={Journal of Number Theory}, publisher={Elsevier BV}, author={Kirschmer, Markus}, year={2014}, pages={375–393} }
LibreCat
| DOI
2014 | Journal Article | LibreCat-ID: 42801
@article{Kirschmer_LEEDHAM-GREEN_2014, title={Computing with subgroups of the modular group }, volume={57}, DOI={10.1017/s0017089514000202}, number={1}, journal={Glasgow Mathematical Journal}, publisher={Cambridge University Press (CUP)}, author={Kirschmer, Markus and LEEDHAM-GREEN, CHARLES}, year={2014}, pages={173–180} }
LibreCat
| DOI
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} }
LibreCat
| 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} }
LibreCat
| 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} }
LibreCat
| DOI
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} }
LibreCat
| DOI
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} }
LibreCat
| DOI
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} }
LibreCat
| 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
2005 | Mastersthesis | LibreCat-ID: 43455
@book{Kirschmer_2005, place={Universität Ulm}, title={Konstruktive Idealtheorie in Quaternionenalgebren (Diplomarbeit)}, author={Kirschmer, Markus}, year={2005} }
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