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41 Publications
2023 | Journal Article | LibreCat-ID: 49372
Klüners, Jürgen, and Jiuya Wang. “Idélic Approach in Enumerating Heisenberg Extensions.” La Matematica, 2023. https://doi.org/10.1007/s44007-023-00067-w.
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 34839
Klüners, Jürgen, and Jiuya Wang. “ℓ-Torsion Bounds for the Class Group of Number Fields with an ℓ-Group as Galois Group.” Proceedings of the American Mathematical Society 150, no. 7 (2022): 2793–2805. https://doi.org/10.1090/proc/15882.
LibreCat
| DOI
| arXiv
2022 | Journal Article | LibreCat-ID: 34835
Klüners, Jürgen. “The Asymptotics of Nilpotent Galois Groups.” Acta Arithmetica 204, no. 2 (2022): 165–84. https://doi.org/10.4064/aa211207-16-5.
LibreCat
| DOI
| arXiv
2021 | Journal Article | LibreCat-ID: 34840
Klüners, Jürgen, and Toru Komatsu. “Imaginary Multiquadratic Number Fields with Class Group of Exponent $3$ and $5$.” Mathematics of Computation 90, no. 329 (2021): 1483–97. https://doi.org/10.1090/mcom/3609.
LibreCat
| DOI
| arXiv
2020 | Journal Article | LibreCat-ID: 34842
Elsenhans, Andreas-Stephan, Jürgen Klüners, and Florin Nicolae. “Imaginary Quadratic Number Fields with Class Groups of Small Exponent.” Acta Arithmetica 193, no. 3 (2020): 217–33. https://doi.org/10.4064/aa180220-20-3.
LibreCat
| DOI
| arXiv
2020 | Journal Article | LibreCat-ID: 34841
Klüners, Jürgen, and Raphael Müller. “The Conductor Density of Local Function Fields with Abelian Galois Group.” Journal of Number Theory 212 (2020): 311–22. https://doi.org/10.1016/j.jnt.2019.11.007.
LibreCat
| DOI
| arXiv
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
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
2014 | Journal Article | LibreCat-ID: 34845
Fieker, Claus, and Jürgen Klüners. “Computation of Galois Groups of Rational Polynomials.” LMS Journal of Computation and Mathematics 17, no. 1 (2014): 141–58. https://doi.org/10.1112/s1461157013000302.
LibreCat
| DOI
| arXiv
2012 | Journal Article | LibreCat-ID: 34847
Klüners, Jürgen. “The Distribution of Number Fields with Wreath Products as Galois Groups .” International Journal of Number Theory 08, no. 03 (2012): 845–58. https://doi.org/10.1142/s1793042112500492.
LibreCat
| DOI
| arXiv
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 2011, no. 16 (2011): 3618–56. https://doi.org/10.1093/imrn/rnq223.
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: 34886
Fouvry, Étienne, and Jürgen Klüners. “On the Negative Pell Equation.” Annals of Mathematics 172, no. 3 (2010): 2035–2104. https://doi.org/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 101, no. 2 (2010): 337–91. https://doi.org/10.1112/plms/pdp057.
LibreCat
| Files available
| 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
2009 | Book Chapter | LibreCat-ID: 35959
Klüners, Jürgen. “The van Hoeij Algorithm for Factoring Polynomials.” In The LLL Algorithm. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. https://doi.org/10.1007/978-3-642-02295-1_8.
LibreCat
| Files available
| DOI
2006 | Journal Article | LibreCat-ID: 34895
Klüners, Jürgen, and G. Malle. “Counting Nilpotent Galois Extensions.” Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal) 2004, no. 572 (2006): 1–26. https://doi.org/10.1515/crll.2004.050.
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| arXiv