Please note that LibreCat no longer supports Internet Explorer versions 8 or 9 (or earlier).
We recommend upgrading to the latest Internet Explorer, Google Chrome, or Firefox.
77 Publications
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.
2006 | Journal Article | LibreCat-ID: 34891
Asymptotics of number fields and the Cohen–Lenstra heuristics
J. Klüners, Journal de Théorie Des Nombres de Bordeaux 18 (2006) 607–615.
LibreCat
| DOI
| arXiv
J. Klüners, Journal de Théorie Des Nombres de Bordeaux 18 (2006) 607–615.
2006 | Journal Article | LibreCat-ID: 34890
On the 4-rank of class groups of quadratic number fields
É. Fouvry, J. Klüners, Inventiones Mathematicae 167 (2006) 455–513.
LibreCat
| Files available
| DOI
É. Fouvry, J. Klüners, Inventiones Mathematicae 167 (2006) 455–513.
2006 | Book Chapter | LibreCat-ID: 35958
Cohen–Lenstra Heuristics of Quadratic Number Fields
É. Fouvry, J. Klüners, in: Lecture Notes in Computer Science, Springer Berlin Heidelberg, Berlin, Heidelberg, 2006.
LibreCat
| Files available
| DOI
É. Fouvry, J. Klüners, in: Lecture Notes in Computer Science, Springer Berlin Heidelberg, Berlin, Heidelberg, 2006.
2006 | Journal Article | LibreCat-ID: 34892
The number of S₄-fields with given discriminant
J. Klüners, Acta Arithmetica 122 (2006) 185–194.
LibreCat
| DOI
| arXiv
J. Klüners, Acta Arithmetica 122 (2006) 185–194.