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76 Publications
2017 | Journal Article | LibreCat-ID: 55275
Technau, Marc, and N. Technau. “A Loewner Equation for Infinitely Many Slits.” Comput. Methods Funct. Theory, vol. 17, no. 2, 2017, pp. 255–272, doi:10.1007/s40315-016-0179-6.
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, vol. 480, Elsevier BV, 2017, pp. 519–48, doi:10.1016/j.jalgebra.2017.02.029.
LibreCat
| DOI
2016 | Journal Article | LibreCat-ID: 55281
Steuding, J., and Marc Technau. “The Least Prime Number in a Beatty Sequence.” J. Number Theory, vol. 169, 2016, pp. 144–159, doi:10.1016/j.jnt.2016.05.022.
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, vol. 167, Elsevier BV, 2016, pp. 161–68, doi: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, vol. 161, Elsevier BV, 2016, pp. 343–61, doi:10.1016/j.jnt.2014.11.001.
LibreCat
| DOI
2016 | Misc | LibreCat-ID: 43454
Kirschmer, Markus. Definite Quadratic and Hermitian Forms with Small Class Number (Habilitation). 2016.
LibreCat
2014 | Journal Article | LibreCat-ID: 34845
Fieker, Claus, and Jürgen Klüners. “Computation of Galois Groups of Rational Polynomials.” LMS Journal of Computation and Mathematics, vol. 17, no. 1, Wiley, 2014, pp. 141–58, doi:10.1112/s1461157013000302.
LibreCat
| DOI
| arXiv
2014 | Journal Article | LibreCat-ID: 42793
Kirschmer, Markus. “One-Class Genera of Maximal Integral Quadratic Forms.” Journal of Number Theory, vol. 136, Elsevier BV, 2014, pp. 375–93, doi:10.1016/j.jnt.2013.10.007.
LibreCat
| DOI
2014 | Journal Article | LibreCat-ID: 42801
Kirschmer, Markus, and CHARLES LEEDHAM-GREEN. “Computing with Subgroups of the Modular Group .” Glasgow Mathematical Journal, vol. 57, no. 1, Cambridge University Press (CUP), 2014, pp. 173–80, doi:10.1017/s0017089514000202.
LibreCat
| DOI
2014 | Journal Article | LibreCat-ID: 42794
Eick, B., et al. “The Constructive Membership Problem for Discrete Free Subgroups of Rank 2 of SL₂(R).” LMS Journal of Computation and Mathematics, vol. 17, no. 1, Wiley, 2014, pp. 345–59, doi: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.” Integers, DE GRUYTER, 2013, doi:10.1515/9783110298161.212.
LibreCat
| 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, vol. 16, Wiley, 2013, pp. 172–86, doi:10.1112/s1461157013000107.
LibreCat
| DOI
2012 | Journal Article | LibreCat-ID: 34847
Klüners, Jürgen. “The Distribution of Number Fields with Wreath Products as Galois Groups .” International Journal of Number Theory, vol. 08, no. 03, World Scientific Pub Co Pte Lt, 2012, pp. 845–58, doi:10.1142/s1793042112500492.
LibreCat
| DOI
| arXiv
2012 | Journal Article | LibreCat-ID: 42797
Kirschmer, Markus. “A Normal Form for Definite Quadratic Forms over $\mathbb{F}_{q}[t]$.” Mathematics of Computation, vol. 81, no. 279, American Mathematical Society (AMS), 2012, pp. 1619–34, doi:10.1090/s0025-5718-2011-02570-6.
LibreCat
| DOI
2011 | Journal Article | LibreCat-ID: 34885
Fouvry, Étienne, and Jürgen Klüners. “Weighted Distribution of the 4-Rank of Class Groups and Applications.” International Mathematics Research Notices, vol. 2011, no. 16, Oxford University Press (OUP), 2011, pp. 3618–56, doi:10.1093/imrn/rnq223.
LibreCat
| DOI
2011 | Journal Article | LibreCat-ID: 34846
van Hoeij, Mark, et al. “Generating Subfields.” Journal of Symbolic Computation, vol. 52, Elsevier BV, 2011, pp. 17–34, doi:10.1016/j.jsc.2012.05.010.
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| DOI
2011 | Journal Article | LibreCat-ID: 42798
Kirschmer, Markus. “Finite Symplectic Matrix Groups.” Experimental Mathematics, vol. 20, no. 2, Informa UK Limited, 2011, pp. 217–28, doi:10.1080/10586458.2011.564964.
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| DOI
2010 | Journal Article | LibreCat-ID: 34886
Fouvry, Étienne, and Jürgen Klüners. “On the Negative Pell Equation.” Annals of Mathematics, vol. 172, no. 3, Annals of Mathematics, 2010, pp. 2035–104, doi:10.4007/annals.2010.172.2035.
LibreCat
| DOI
2010 | Journal Article | LibreCat-ID: 34888
Fouvry, Étienne, and Jürgen Klüners. “The Parity of the Period of the Continued Fraction of d.” Proceedings of the London Mathematical Society, vol. 101, no. 2, Wiley, 2010, pp. 337–91, doi:10.1112/plms/pdp057.
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| Files available
| DOI
2010 | Journal Article | LibreCat-ID: 34887
Fouvry, Étienne, and Jürgen Klüners. “On the Spiegelungssatz for the 4-Rank.” Algebra & Number Theory, vol. 4, no. 5, Mathematical Sciences Publishers, 2010, pp. 493–508, doi:10.2140/ant.2010.4.493.
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| DOI