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21 Publications


2016 | Misc | LibreCat-ID: 43454
Definite quadratic and hermitian forms with small class number (Habilitation)
M. Kirschmer, Definite Quadratic and Hermitian Forms with Small Class Number (Habilitation), RWTH Aachen University, 2016.
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2014 | Journal Article | LibreCat-ID: 42793
One-class genera of maximal integral quadratic forms
M. Kirschmer, Journal of Number Theory 136 (2014) 375–393.
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2014 | Journal Article | LibreCat-ID: 42801
Computing with subgroups of the modular group
M. Kirschmer, C. LEEDHAM-GREEN, Glasgow Mathematical Journal 57 (2014) 173–180.
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2014 | Journal Article | LibreCat-ID: 42794
The constructive membership problem for discrete free subgroups of rank 2 of SL₂(R)
B. Eick, M. Kirschmer, C. Leedham-Green, LMS Journal of Computation and Mathematics 17 (2014) 345–359.
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2013 | Book Chapter | LibreCat-ID: 42805
On an analogue to the Lucas-Lehmer-Riesel test using elliptic curves
M. Kirschmer, M.H. Mertens, in: Integers, DE GRUYTER, 2013.
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2013 | Journal Article | LibreCat-ID: 42796
Single-class genera of positive integral lattices
D. Lorch, M. Kirschmer, LMS Journal of Computation and Mathematics 16 (2013) 172–186.
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2012 | Journal Article | LibreCat-ID: 42797
A normal form for definite quadratic forms over $\mathbb{F}_{q}[t]$
M. Kirschmer, Mathematics of Computation 81 (2012) 1619–1634.
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2011 | Journal Article | LibreCat-ID: 42798
Finite Symplectic Matrix Groups
M. Kirschmer, Experimental Mathematics 20 (2011) 217–228.
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2010 | Journal Article | LibreCat-ID: 42803
Algorithmic Enumeration of Ideal Classes for Quaternion Orders
M. Kirschmer, J. Voight, SIAM Journal on Computing 39 (2010) 1714–1747.
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2009 | Dissertation | LibreCat-ID: 43453
Finite symplectic matrix groups (Dissertation)
M. Kirschmer, Finite Symplectic Matrix Groups (Dissertation), RWTH Aachen University, 2009.
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2005 | Mastersthesis | LibreCat-ID: 43455
Konstruktive Idealtheorie in Quaternionenalgebren (Diplomarbeit)
M. Kirschmer, Konstruktive Idealtheorie in Quaternionenalgebren (Diplomarbeit), Universität Ulm, 2005.
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