Publications Prof. Dr. Jürgen Klüners

Preprints:

Chow groups of orders in number fields
M. Kirschmer, J. Klüners, ArXiv:2208.14688 (2022).
Computing quadratic subfields of number fields
A.-S. Elsenhans, J. Klüners, ArXiv:1907.13383 (2019).
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Papers:

ℓ-torsion bounds for the class group of number fields with an ℓ-group as Galois group
J. Klüners, J. Wang, Proceedings of the American Mathematical Society 150 (2022) 2793–2805.
The asymptotics of nilpotent Galois groups
J. Klüners, Acta Arithmetica 204 (2022) 165–184.
Imaginary multiquadratic number fields with class group of exponent $3$ and $5$
J. Klüners, T. Komatsu, Mathematics of Computation 90 (2021) 1483–1497.
Imaginary quadratic number fields with class groups of small exponent
A.-S. Elsenhans, J. Klüners, F. Nicolae, Acta Arithmetica 193 (2020) 217–233.
The conductor density of local function fields with abelian Galois group
J. Klüners, R. Müller, Journal of Number Theory 212 (2020) 311–322.
Computing subfields of number fields and applications to Galois group computations
A.-S. Elsenhans, J. Klüners, Journal of Symbolic Computation 93 (2018) 1–20.
Are number fields determined by Artin L-functions?
J. Klüners, F. Nicolae, Journal of Number Theory 167 (2016) 161–168.
Computation of Galois groups of rational polynomials
C. Fieker, J. Klüners, LMS Journal of Computation and Mathematics 17 (2014) 141–158.
The Distribution of Number Fields with Wreath Products as Galois Groups
J. Klüners, International Journal of Number Theory 08 (2012) 845–858.
Weighted Distribution of the 4-rank of Class Groups and Applications
É. Fouvry, J. Klüners, International Mathematics Research Notices 2011 (2011) 3618–3656.
Generating subfields
M. van Hoeij, J. Klüners, A. Novocin, Journal of Symbolic Computation 52 (2011) 17–34.
On the negative Pell equation
É. Fouvry, J. Klüners, Annals of Mathematics 172 (2010) 2035–2104.
On the Spiegelungssatz for the 4-rank
É. Fouvry, J. Klüners, Algebra & Number Theory 4 (2010) 493–508.
Factoring polynomials over global fields
K. Belabas, M. van Hoeij, J. Klüners, A. Steel, Journal de Théorie Des Nombres de Bordeaux 21 (2009) 15–39.
Counting nilpotent Galois extensions
J. Klüners, G. Malle, Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal) 2004 (2006) 1–26.
Asymptotics of number fields and the Cohen–Lenstra heuristics
J. Klüners, Journal de Théorie Des Nombres de Bordeaux 18 (2006) 607–615.
The number of S₄-fields with given discriminant
J. Klüners, Acta Arithmetica 122 (2006) 185–194.
A counter example to Malle's conjecture on the asymptotics of discriminants
J. Klüners, Comptes Rendus Mathematique 340 (2005) 411–414.
Computing residue class rings and Picard groups of orders
J. Klüners, S. Pauli, Journal of Algebra 292 (2005) 47–64.
Über die Asymptotik von Zahlkörpern mit vorgegebener Galoisgruppe (Habilitation)
J. Klüners, Über die Asymptotik von Zahlkörpern mit vorgegebener Galoisgruppe (Habilitation), Shaker Verlag, Universiät Kassel, 2005.
Minimal discriminants for fields with small Frobenius groups as Galois groups
C. Fieker, J. Klüners, Journal of Number Theory 99 (2003) 318–337.
A Database for Field Extensions of the Rationals
J. Klüners, G. Malle, LMS Journal of Computation and Mathematics 4 (2001) 182–196.
Galois Group Computation for Rational Polynomials
K. Geissler, J. Klüners, Journal of Symbolic Computation 30 (2000) 653–674.
Computing Local Artin Maps, and Solvability of Norm Equations
V. Acciaro, J. Klüners, Journal of Symbolic Computation 30 (2000) 239–252.
Explicit Galois Realization of Transitive Groups of Degree up to 15
J. Klüners, G. Malle, Journal of Symbolic Computation 30 (2000) 675–716.
A Polynomial with Galois GroupSL2(11)
J. Klüners, Journal of Symbolic Computation 30 (2000) 733–737.
On Polynomial Decompositions
J. Klüners, Journal of Symbolic Computation 27 (1999) 261–269.
KANT V4
M. DABERKOW, C. FIEKER, J. Klüners, M. POHST, K. ROEGNER, M. SCHÖRNIG, K. WILDANGER, Journal of Symbolic Computation 24 (1997) 267–283.
On Computing Subfields
J. Klüners, M. Pohst, Journal of Symbolic Computation 24 (1997) 385–397.
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Thesis:

Über die Asymptotik von Zahlkörpern mit vorgegebener Galoisgruppe (Habilitation)
J. Klüners, Über die Asymptotik von Zahlkörpern mit vorgegebener Galoisgruppe (Habilitation), Shaker Verlag, Universiät Kassel, 2005.
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