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61 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.
LibreCat
M. Kirschmer, Definite Quadratic and Hermitian Forms with Small Class Number (Habilitation), RWTH Aachen University, 2016.
2014 | Journal Article | LibreCat-ID: 34845
Computation of Galois groups of rational polynomials
C. Fieker, J. Klüners, LMS Journal of Computation and Mathematics 17 (2014) 141–158.
LibreCat
| DOI
| arXiv
C. Fieker, J. Klüners, LMS Journal of Computation and Mathematics 17 (2014) 141–158.
2014 | Journal Article | LibreCat-ID: 42793
One-class genera of maximal integral quadratic forms
M. Kirschmer, Journal of Number Theory 136 (2014) 375–393.
LibreCat
| DOI
M. Kirschmer, Journal of Number Theory 136 (2014) 375–393.
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.
LibreCat
| DOI
M. Kirschmer, C. LEEDHAM-GREEN, Glasgow Mathematical Journal 57 (2014) 173–180.
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.
LibreCat
| DOI
B. Eick, M. Kirschmer, C. Leedham-Green, LMS Journal of Computation and Mathematics 17 (2014) 345–359.
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.
LibreCat
| DOI
M. Kirschmer, M.H. Mertens, in: Integers, DE GRUYTER, 2013.
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.
LibreCat
| DOI
D. Lorch, M. Kirschmer, LMS Journal of Computation and Mathematics 16 (2013) 172–186.
2012 | Journal Article | LibreCat-ID: 34847
The Distribution of Number Fields with Wreath Products as Galois Groups
J. Klüners, International Journal of Number Theory 08 (2012) 845–858.
LibreCat
| DOI
| arXiv
J. Klüners, International Journal of Number Theory 08 (2012) 845–858.
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.
LibreCat
| DOI
M. Kirschmer, Mathematics of Computation 81 (2012) 1619–1634.
2011 | Journal Article | LibreCat-ID: 34885
Weighted Distribution of the 4-rank of Class Groups and Applications
É. Fouvry, J. Klüners, International Mathematics Research Notices 2011 (2011) 3618–3656.
LibreCat
| DOI
É. Fouvry, J. Klüners, International Mathematics Research Notices 2011 (2011) 3618–3656.
2011 | Journal Article | LibreCat-ID: 34846
Generating subfields
M. van Hoeij, J. Klüners, A. Novocin, Journal of Symbolic Computation 52 (2011) 17–34.
LibreCat
| DOI
M. van Hoeij, J. Klüners, A. Novocin, Journal of Symbolic Computation 52 (2011) 17–34.
2011 | Journal Article | LibreCat-ID: 42798
Finite Symplectic Matrix Groups
M. Kirschmer, Experimental Mathematics 20 (2011) 217–228.
LibreCat
| DOI
M. Kirschmer, Experimental Mathematics 20 (2011) 217–228.
2010 | Journal Article | LibreCat-ID: 34886
On the negative Pell equation
É. Fouvry, J. Klüners, Annals of Mathematics 172 (2010) 2035–2104.
LibreCat
| DOI
É. Fouvry, J. Klüners, Annals of Mathematics 172 (2010) 2035–2104.
2010 | Journal Article | LibreCat-ID: 34888
The parity of the period of the continued fraction of d
É. Fouvry, J. Klüners, Proceedings of the London Mathematical Society 101 (2010) 337–391.
LibreCat
| Files available
| DOI
É. Fouvry, J. Klüners, Proceedings of the London Mathematical Society 101 (2010) 337–391.
2010 | Journal Article | LibreCat-ID: 34887
On the Spiegelungssatz for the 4-rank
É. Fouvry, J. Klüners, Algebra & Number Theory 4 (2010) 493–508.
LibreCat
| DOI
É. Fouvry, J. Klüners, Algebra & Number Theory 4 (2010) 493–508.
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.
LibreCat
| DOI
M. Kirschmer, J. Voight, SIAM Journal on Computing 39 (2010) 1714–1747.
2009 | Journal Article | LibreCat-ID: 34889
Factoring polynomials over global fields
K. Belabas, M. van Hoeij, J. Klüners, A. Steel, Journal de Théorie Des Nombres de Bordeaux 21 (2009) 15–39.
LibreCat
| DOI
| arXiv
K. Belabas, M. van Hoeij, J. Klüners, A. Steel, Journal de Théorie Des Nombres de Bordeaux 21 (2009) 15–39.
2009 | Book Chapter | LibreCat-ID: 35959
The van Hoeij Algorithm for Factoring Polynomials
J. Klüners, in: The LLL Algorithm, Springer Berlin Heidelberg, Berlin, Heidelberg, 2009.
LibreCat
| Files available
| DOI
J. Klüners, in: The LLL Algorithm, Springer Berlin Heidelberg, Berlin, Heidelberg, 2009.
2009 | Dissertation | LibreCat-ID: 43453
Finite symplectic matrix groups (Dissertation)
M. Kirschmer, Finite Symplectic Matrix Groups (Dissertation), RWTH Aachen University, 2009.
LibreCat
M. Kirschmer, Finite Symplectic Matrix Groups (Dissertation), RWTH Aachen University, 2009.
2006 | Journal Article | LibreCat-ID: 34895
Counting nilpotent Galois extensions
J. Klüners, G. Malle, Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal) 2004 (2006) 1–26.
LibreCat
| DOI
| arXiv
J. Klüners, G. Malle, Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal) 2004 (2006) 1–26.