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61 Publications
2023 | Journal Article | LibreCat-ID: 49372
Klüners, Jürgen, and Jiuya Wang. “Idélic Approach in Enumerating Heisenberg Extensions.” La Matematica, Springer Science and Business Media LLC, 2023, doi: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, vol. 150, no. 7, American Mathematical Society (AMS), 2022, pp. 2793–805, doi:10.1090/proc/15882.
LibreCat
| DOI
| arXiv
2022 | Journal Article | LibreCat-ID: 34835
Klüners, Jürgen. “The Asymptotics of Nilpotent Galois Groups.” Acta Arithmetica, vol. 204, no. 2, Institute of Mathematics, Polish Academy of Sciences, 2022, pp. 165–84, doi:10.4064/aa211207-16-5.
LibreCat
| DOI
| arXiv
2022 | Preprint | LibreCat-ID: 43392
Kirschmer, Markus, and Jürgen Klüners. Chow Groups of Orders in Number Fields. 2022.
LibreCat
2022 | Journal Article | LibreCat-ID: 45854
Kirschmer, Markus, and Gabriele Nebe. “Binary Hermitian Lattices over Number Fields.” Experimental Mathematics, vol. 31, no. 1, Informa UK Limited, 2022, pp. 280–301, doi:10.1080/10586458.2019.1618756.
LibreCat
| DOI
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, vol. 90, no. 329, American Mathematical Society (AMS), 2021, pp. 1483–97, doi:10.1090/mcom/3609.
LibreCat
| DOI
| arXiv
2021 | Journal Article | LibreCat-ID: 34912
Kirschmer, Markus, et al. “Spanning the Isogeny Class of a Power of an Elliptic Curve.” Mathematics of Computation, vol. 91, no. 333, American Mathematical Society (AMS), 2021, pp. 401–49, doi:10.1090/mcom/3672.
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 34842
Elsenhans, Andreas-Stephan, et al. “Imaginary Quadratic Number Fields with Class Groups of Small Exponent.” Acta Arithmetica, vol. 193, no. 3, Institute of Mathematics, Polish Academy of Sciences, 2020, pp. 217–33, doi: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, vol. 212, Elsevier BV, 2020, pp. 311–22, doi:10.1016/j.jnt.2019.11.007.
LibreCat
| DOI
| arXiv
2019 | Journal Article | LibreCat-ID: 34915
Kirschmer, Markus. “Determinant Groups of Hermitian Lattices over Local Fields.” Archiv Der Mathematik, vol. 113, no. 4, Springer Science and Business Media LLC, 2019, pp. 337–47, doi:10.1007/s00013-019-01348-z.
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 34917
Kirschmer, Markus, and Gabriele Nebe. “Quaternary Quadratic Lattices over Number Fields.” International Journal of Number Theory, vol. 15, no. 02, World Scientific Pub Co Pte Lt, 2019, pp. 309–25, doi:10.1142/s1793042119500131.
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 34916
Kirschmer, Markus. “Automorphisms of Even Unimodular Lattices over Number Fields.” Journal of Number Theory, vol. 197, Elsevier BV, 2019, pp. 121–34, doi:10.1016/j.jnt.2018.08.004.
LibreCat
| DOI
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, vol. 93, Elsevier BV, 2018, pp. 1–20, doi:10.1016/j.jsc.2018.04.013.
LibreCat
| DOI
| arXiv
2018 | Book Chapter | LibreCat-ID: 42788
Kirschmer, Markus, and Gabriele Nebe. “One Class Genera of Lattice Chains Over Number Fields.” Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory, Springer International Publishing, 2018, doi:10.1007/978-3-319-70566-8_22.
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 42790
Kirschmer, Markus. “One-Class Genera of Exceptional Groups over Number Fields.” Journal de Théorie Des Nombres de Bordeaux, vol. 30, no. 3, Cellule MathDoc/CEDRAM, 2018, pp. 847–57, doi: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, vol. 480, Elsevier BV, 2017, pp. 519–48, doi: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, 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.
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| DOI