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21 Publications
2016 | Misc | LibreCat-ID: 43454
Kirschmer, Markus. Definite Quadratic and Hermitian Forms with Small Class Number (Habilitation). RWTH Aachen University, 2016.
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2014 | Journal Article | LibreCat-ID: 42793
Kirschmer, Markus. “One-Class Genera of Maximal Integral Quadratic Forms.” Journal of Number Theory 136 (2014): 375–93. https://doi.org/10.1016/j.jnt.2013.10.007.
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| DOI
2014 | Journal Article | LibreCat-ID: 42801
Kirschmer, Markus, and CHARLES LEEDHAM-GREEN. “Computing with Subgroups of the Modular Group .” Glasgow Mathematical Journal 57, no. 1 (2014): 173–80. https://doi.org/10.1017/s0017089514000202.
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| DOI
2014 | Journal Article | LibreCat-ID: 42794
Eick, B., Markus 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 17, no. 1 (2014): 345–59. https://doi.org/10.1112/s1461157014000047.
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| 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.” In Integers. DE GRUYTER, 2013. https://doi.org/10.1515/9783110298161.212.
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| 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 16 (2013): 172–86. https://doi.org/10.1112/s1461157013000107.
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| DOI
2012 | Journal Article | LibreCat-ID: 42797
Kirschmer, Markus. “A Normal Form for Definite Quadratic Forms over $\mathbb{F}_{q}[t]$.” Mathematics of Computation 81, no. 279 (2012): 1619–34. https://doi.org/10.1090/s0025-5718-2011-02570-6.
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| DOI
2011 | Journal Article | LibreCat-ID: 42798
Kirschmer, Markus. “Finite Symplectic Matrix Groups.” Experimental Mathematics 20, no. 2 (2011): 217–28. https://doi.org/10.1080/10586458.2011.564964.
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| DOI
2010 | Journal Article | LibreCat-ID: 42803
Kirschmer, Markus, and John Voight. “Algorithmic Enumeration of Ideal Classes for Quaternion Orders.” SIAM Journal on Computing 39, no. 5 (2010): 1714–47. https://doi.org/10.1137/080734467.
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| DOI
2009 | Dissertation | LibreCat-ID: 43453
Kirschmer, Markus. Finite Symplectic Matrix Groups (Dissertation). RWTH Aachen University, 2009.
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2005 | Mastersthesis | LibreCat-ID: 43455
Kirschmer, Markus. Konstruktive Idealtheorie in Quaternionenalgebren (Diplomarbeit). Universität Ulm, 2005.
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