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41 Publications
2023 | Journal Article | LibreCat-ID: 49372
Klüners, J., & Wang, J. (2023). Idélic Approach in Enumerating Heisenberg Extensions. La Matematica. https://doi.org/10.1007/s44007-023-00067-w
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 34839
Klüners, J., & Wang, J. (2022). ℓ-torsion bounds for the class group of number fields with an ℓ-group as Galois group. Proceedings of the American Mathematical Society, 150(7), 2793–2805. https://doi.org/10.1090/proc/15882
LibreCat
| DOI
| arXiv
2022 | Journal Article | LibreCat-ID: 34835
Klüners, J. (2022). The asymptotics of nilpotent Galois groups. Acta Arithmetica, 204(2), 165–184. https://doi.org/10.4064/aa211207-16-5
LibreCat
| DOI
| arXiv
2021 | Journal Article | LibreCat-ID: 34840
Klüners, J., & Komatsu, T. (2021). Imaginary multiquadratic number fields with class group of exponent $3$ and $5$. Mathematics of Computation, 90(329), 1483–1497. https://doi.org/10.1090/mcom/3609
LibreCat
| DOI
| arXiv
2020 | Journal Article | LibreCat-ID: 34842
Elsenhans, A.-S., Klüners, J., & Nicolae, F. (2020). Imaginary quadratic number fields with class groups of small exponent. Acta Arithmetica, 193(3), 217–233. https://doi.org/10.4064/aa180220-20-3
LibreCat
| DOI
| arXiv
2020 | Journal Article | LibreCat-ID: 34841
Klüners, J., & Müller, R. (2020). The conductor density of local function fields with abelian Galois group. Journal of Number Theory, 212, 311–322. https://doi.org/10.1016/j.jnt.2019.11.007
LibreCat
| DOI
| arXiv
2018 | Journal Article | LibreCat-ID: 34843
Elsenhans, A.-S., & Klüners, J. (2018). Computing subfields of number fields and applications to Galois group computations. Journal of Symbolic Computation, 93, 1–20. https://doi.org/10.1016/j.jsc.2018.04.013
LibreCat
| DOI
| arXiv
2016 | Journal Article | LibreCat-ID: 34844
Klüners, J., & Nicolae, F. (2016). Are number fields determined by Artin L-functions? Journal of Number Theory, 167, 161–168. https://doi.org/10.1016/j.jnt.2016.03.023
LibreCat
| DOI
| arXiv
2014 | Journal Article | LibreCat-ID: 34845
Fieker, C., & Klüners, J. (2014). Computation of Galois groups of rational polynomials. LMS Journal of Computation and Mathematics, 17(1), 141–158. https://doi.org/10.1112/s1461157013000302
LibreCat
| DOI
| arXiv
2012 | Journal Article | LibreCat-ID: 34847
Klüners, J. (2012). The Distribution of Number Fields with Wreath Products as Galois Groups . International Journal of Number Theory, 08(03), 845–858. https://doi.org/10.1142/s1793042112500492
LibreCat
| DOI
| arXiv
2011 | Journal Article | LibreCat-ID: 34885
Fouvry, É., & Klüners, J. (2011). Weighted Distribution of the 4-rank of Class Groups and Applications. International Mathematics Research Notices, 2011(16), 3618–3656. https://doi.org/10.1093/imrn/rnq223
LibreCat
| DOI
2011 | Journal Article | LibreCat-ID: 34846
van Hoeij, M., Klüners, J., & Novocin, A. (2011). Generating subfields. Journal of Symbolic Computation, 52, 17–34. https://doi.org/10.1016/j.jsc.2012.05.010
LibreCat
| DOI
2010 | Journal Article | LibreCat-ID: 34886
Fouvry, É., & Klüners, J. (2010). On the negative Pell equation. Annals of Mathematics, 172(3), 2035–2104. https://doi.org/10.4007/annals.2010.172.2035
LibreCat
| DOI
2010 | Journal Article | LibreCat-ID: 34888
Fouvry, É., & Klüners, J. (2010). The parity of the period of the continued fraction of d. Proceedings of the London Mathematical Society, 101(2), 337–391. https://doi.org/10.1112/plms/pdp057
LibreCat
| Files available
| DOI
2010 | Journal Article | LibreCat-ID: 34887
Fouvry, É., & Klüners, J. (2010). On the Spiegelungssatz for the 4-rank. Algebra & Number Theory, 4(5), 493–508. https://doi.org/10.2140/ant.2010.4.493
LibreCat
| DOI
2009 | Journal Article | LibreCat-ID: 34889
Belabas, K., van Hoeij, M., Klüners, J., & Steel, A. (2009). Factoring polynomials over global fields. Journal de Théorie Des Nombres de Bordeaux, 21(1), 15–39. https://doi.org/10.5802/jtnb.655
LibreCat
| DOI
| arXiv
2009 | Book Chapter | LibreCat-ID: 35959
Klüners, J. (2009). The van Hoeij Algorithm for Factoring Polynomials. In The LLL Algorithm. Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-642-02295-1_8
LibreCat
| Files available
| DOI
2006 | Journal Article | LibreCat-ID: 34895
Klüners, J., & Malle, G. (2006). Counting nilpotent Galois extensions. Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal), 2004(572), 1–26. https://doi.org/10.1515/crll.2004.050
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| DOI
| arXiv