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41 Publications
2023 | Journal Article | LibreCat-ID: 49372
J. Klüners and J. Wang, “Idélic Approach in Enumerating Heisenberg Extensions,” La Matematica, 2023, doi: 10.1007/s44007-023-00067-w.
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 34839
J. Klüners and J. Wang, “ℓ-torsion bounds for the class group of number fields with an ℓ-group as Galois group,” Proceedings of the American Mathematical Society, vol. 150, no. 7, pp. 2793–2805, 2022, doi: 10.1090/proc/15882.
LibreCat
| DOI
| arXiv
2022 | Journal Article | LibreCat-ID: 34835
J. Klüners, “The asymptotics of nilpotent Galois groups,” Acta Arithmetica, vol. 204, no. 2, pp. 165–184, 2022, doi: 10.4064/aa211207-16-5.
LibreCat
| DOI
| arXiv
2021 | Journal Article | LibreCat-ID: 34840
J. Klüners and T. Komatsu, “Imaginary multiquadratic number fields with class group of exponent $3$ and $5$,” Mathematics of Computation, vol. 90, no. 329, pp. 1483–1497, 2021, doi: 10.1090/mcom/3609.
LibreCat
| DOI
| arXiv
2020 | Journal Article | LibreCat-ID: 34842
A.-S. Elsenhans, J. Klüners, and F. Nicolae, “Imaginary quadratic number fields with class groups of small exponent,” Acta Arithmetica, vol. 193, no. 3, pp. 217–233, 2020, doi: 10.4064/aa180220-20-3.
LibreCat
| DOI
| arXiv
2020 | Journal Article | LibreCat-ID: 34841
J. Klüners and R. Müller, “The conductor density of local function fields with abelian Galois group,” Journal of Number Theory, vol. 212, pp. 311–322, 2020, doi: 10.1016/j.jnt.2019.11.007.
LibreCat
| DOI
| arXiv
2018 | Journal Article | LibreCat-ID: 34843
A.-S. Elsenhans and J. Klüners, “Computing subfields of number fields and applications to Galois group computations,” Journal of Symbolic Computation, vol. 93, pp. 1–20, 2018, doi: 10.1016/j.jsc.2018.04.013.
LibreCat
| DOI
| arXiv
2016 | Journal Article | LibreCat-ID: 34844
J. Klüners and F. Nicolae, “Are number fields determined by Artin L-functions?,” Journal of Number Theory, vol. 167, pp. 161–168, 2016, doi: 10.1016/j.jnt.2016.03.023.
LibreCat
| DOI
| arXiv
2014 | Journal Article | LibreCat-ID: 34845
C. Fieker and J. Klüners, “Computation of Galois groups of rational polynomials,” LMS Journal of Computation and Mathematics, vol. 17, no. 1, pp. 141–158, 2014, doi: 10.1112/s1461157013000302.
LibreCat
| DOI
| arXiv
2012 | Journal Article | LibreCat-ID: 34847
J. Klüners, “The Distribution of Number Fields with Wreath Products as Galois Groups ,” International Journal of Number Theory, vol. 08, no. 03, pp. 845–858, 2012, doi: 10.1142/s1793042112500492.
LibreCat
| DOI
| arXiv
2011 | Journal Article | LibreCat-ID: 34885
É. Fouvry and J. Klüners, “Weighted Distribution of the 4-rank of Class Groups and Applications,” International Mathematics Research Notices, vol. 2011, no. 16, pp. 3618–3656, 2011, doi: 10.1093/imrn/rnq223.
LibreCat
| DOI
2011 | Journal Article | LibreCat-ID: 34846
M. van Hoeij, J. Klüners, and A. Novocin, “Generating subfields,” Journal of Symbolic Computation, vol. 52, pp. 17–34, 2011, doi: 10.1016/j.jsc.2012.05.010.
LibreCat
| DOI
2010 | Journal Article | LibreCat-ID: 34886
É. Fouvry and J. Klüners, “On the negative Pell equation,” Annals of Mathematics, vol. 172, no. 3, pp. 2035–2104, 2010, doi: 10.4007/annals.2010.172.2035.
LibreCat
| DOI
2010 | Journal Article | LibreCat-ID: 34888
É. Fouvry and J. Klüners, “The parity of the period of the continued fraction of d,” Proceedings of the London Mathematical Society, vol. 101, no. 2, pp. 337–391, 2010, doi: 10.1112/plms/pdp057.
LibreCat
| Files available
| DOI
2010 | Journal Article | LibreCat-ID: 34887
É. Fouvry and J. Klüners, “On the Spiegelungssatz for the 4-rank,” Algebra & Number Theory, vol. 4, no. 5, pp. 493–508, 2010, doi: 10.2140/ant.2010.4.493.
LibreCat
| DOI
2009 | Journal Article | LibreCat-ID: 34889
K. Belabas, M. van Hoeij, J. Klüners, and A. Steel, “Factoring polynomials over global fields,” Journal de Théorie des Nombres de Bordeaux, vol. 21, no. 1, pp. 15–39, 2009, doi: 10.5802/jtnb.655.
LibreCat
| DOI
| arXiv
2009 | Book Chapter | LibreCat-ID: 35959
J. Klüners, “The van Hoeij Algorithm for Factoring Polynomials,” in The LLL Algorithm, Berlin, Heidelberg: Springer Berlin Heidelberg, 2009.
LibreCat
| Files available
| DOI
2006 | Journal Article | LibreCat-ID: 34895
J. Klüners and G. Malle, “Counting nilpotent Galois extensions,” Journal für die reine und angewandte Mathematik (Crelles Journal), vol. 2004, no. 572, pp. 1–26, 2006, doi: 10.1515/crll.2004.050.
LibreCat
| DOI
| arXiv