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33 Publications
2018 | Journal Article | LibreCat-ID: 34843
Elsenhans, Andreas-Stephan, and Jürgen Klüners. “Computing Subfields of Number Fields and Applications to Galois Group Computations.” Journal of Symbolic Computation 93 (2018): 1–20. https://doi.org/10.1016/j.jsc.2018.04.013.
LibreCat
| DOI
| arXiv
2018 | Journal Article | LibreCat-ID: 42790
Kirschmer, Markus. “One-Class Genera of Exceptional Groups over Number Fields.” Journal de Théorie Des Nombres de Bordeaux 30, no. 3 (2018): 847–57. https://doi.org/10.5802/jtnb.1052.
LibreCat
| DOI
2017 | Journal Article | LibreCat-ID: 42791
Kirschmer, Markus, and Marion G. Rüther. “The Constructive Membership Problem for Discrete Two-Generator Subgroups of SL(2,R).” Journal of Algebra 480 (2017): 519–48. https://doi.org/10.1016/j.jalgebra.2017.02.029.
LibreCat
| DOI
2016 | Journal Article | LibreCat-ID: 34844
Klüners, Jürgen, and Florin Nicolae. “Are Number Fields Determined by Artin L-Functions?” Journal of Number Theory 167 (2016): 161–68. https://doi.org/10.1016/j.jnt.2016.03.023.
LibreCat
| DOI
| arXiv
2016 | Journal Article | LibreCat-ID: 42792
Kirschmer, Markus, and David Lorch. “Ternary Quadratic Forms over Number Fields with Small Class Number.” Journal of Number Theory 161 (2016): 343–61. https://doi.org/10.1016/j.jnt.2014.11.001.
LibreCat
| DOI
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.
LibreCat
| DOI
2013 | Journal Article | LibreCat-ID: 37672
Rösler, Margit, Tom Koornwinder, and Michael Voit. “Limit Transition between Hypergeometric Functions of Type BC and Type A.” Compositio Mathematica 149, no. 8 (2013): 1381–1400. https://doi.org/10.1112/s0010437x13007045.
LibreCat
| 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.
LibreCat
| DOI
2011 | Journal Article | LibreCat-ID: 34846
Hoeij, Mark van, Jürgen Klüners, and Andrew Novocin. “Generating Subfields.” Journal of Symbolic Computation 52 (2011): 17–34. https://doi.org/10.1016/j.jsc.2012.05.010.
LibreCat
| DOI
2010 | Journal Article | LibreCat-ID: 34887
Fouvry, Étienne, and Jürgen Klüners. “On the Spiegelungssatz for the 4-Rank.” Algebra & Number Theory 4, no. 5 (2010): 493–508. https://doi.org/10.2140/ant.2010.4.493.
LibreCat
| DOI
2009 | Journal Article | LibreCat-ID: 34889
Belabas, Karim, Mark van Hoeij, Jürgen Klüners, and Allan Steel. “Factoring Polynomials over Global Fields.” Journal de Théorie Des Nombres de Bordeaux 21, no. 1 (2009): 15–39. https://doi.org/10.5802/jtnb.655.
LibreCat
| DOI
| arXiv
2007 | Journal Article | LibreCat-ID: 39947
Rösler, Margit. “Bessel Convolutions on Matrix Cones.” Compositio Mathematica 143, no. 03 (2007): 749–79. https://doi.org/10.1112/s0010437x06002594.
LibreCat
| DOI
2006 | Journal Article | LibreCat-ID: 34891
Klüners, Jürgen. “Asymptotics of Number Fields and the Cohen–Lenstra Heuristics.” Journal de Théorie Des Nombres de Bordeaux 18, no. 3 (2006): 607–15. https://doi.org/10.5802/jtnb.561.
LibreCat
| DOI
| arXiv
2006 | Journal Article | LibreCat-ID: 34892
Klüners, Jürgen. “The Number of S₄-Fields with given Discriminant.” Acta Arithmetica 122, no. 2 (2006): 185–94. https://doi.org/10.4064/aa122-2-3.
LibreCat
| DOI
| arXiv
2005 | Journal Article | LibreCat-ID: 34893
Klüners, Jürgen, and Sebastian Pauli. “Computing Residue Class Rings and Picard Groups of Orders.” Journal of Algebra 292, no. 1 (2005): 47–64. https://doi.org/10.1016/j.jalgebra.2005.04.013.
LibreCat
| DOI
2003 | Journal Article | LibreCat-ID: 34896
Fieker, Claus, and Jürgen Klüners. “Minimal Discriminants for Fields with Small Frobenius Groups as Galois Groups.” Journal of Number Theory 99, no. 2 (2003): 318–37. https://doi.org/10.1016/s0022-314x(02)00071-9.
LibreCat
| DOI
2000 | Journal Article | LibreCat-ID: 34900
Geissler, Katharina, and Jürgen Klüners. “Galois Group Computation for Rational Polynomials.” Journal of Symbolic Computation 30, no. 6 (2000): 653–74. https://doi.org/10.1006/jsco.2000.0377.
LibreCat
| DOI
2000 | Journal Article | LibreCat-ID: 34901
Acciaro, Vincenzo, and Jürgen Klüners. “Computing Local Artin Maps, and Solvability of Norm Equations.” Journal of Symbolic Computation 30, no. 3 (2000): 239–52. https://doi.org/10.1006/jsco.2000.0361.
LibreCat
| DOI
2000 | Journal Article | LibreCat-ID: 34899
Klüners, Jürgen, and Gunter Malle. “Explicit Galois Realization of Transitive Groups of Degree up to 15.” Journal of Symbolic Computation 30, no. 6 (2000): 675–716. https://doi.org/10.1006/jsco.2000.0378.
LibreCat
| DOI
2000 | Journal Article | LibreCat-ID: 34898
Klüners, Jürgen. “A Polynomial with Galois GroupSL2(11).” Journal of Symbolic Computation 30, no. 6 (2000): 733–37. https://doi.org/10.1006/jsco.2000.0380.
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| DOI