@article{34835,
  abstract     = {{We prove an upper bound for the asymptotics of counting functions of number fields with nilpotent Galois groups. }},
  author       = {{Klüners, Jürgen}},
  issn         = {{0065-1036}},
  journal      = {{Acta Arithmetica}},
  keywords     = {{Algebra and Number Theory}},
  number       = {{2}},
  pages        = {{165--184}},
  publisher    = {{Institute of Mathematics, Polish Academy of Sciences}},
  title        = {{{The asymptotics of nilpotent Galois groups}}},
  doi          = {{10.4064/aa211207-16-5}},
  volume       = {{204}},
  year         = {{2022}},
}

@article{34842,
  abstract     = {{Let D<0 be a fundamental discriminant and denote by E(D) the exponent of the ideal class group Cl(D) of K=ℚ(√D). Under the assumption that no Siegel zeros exist we compute all such D with E(D) dividing 8. We compute all D with |D| ≤ 3.1⋅10²⁰ such that E(D) ≤ 8.}},
  author       = {{Elsenhans, Andreas-Stephan and Klüners, Jürgen and Nicolae, Florin}},
  issn         = {{0065-1036}},
  journal      = {{Acta Arithmetica}},
  keywords     = {{Algebra and Number Theory}},
  number       = {{3}},
  pages        = {{217--233}},
  publisher    = {{Institute of Mathematics, Polish Academy of Sciences}},
  title        = {{{Imaginary quadratic number fields with class groups of small exponent}}},
  doi          = {{10.4064/aa180220-20-3}},
  volume       = {{193}},
  year         = {{2020}},
}

@article{34892,
  abstract     = {{We prove that the number of quartic S4--extensions of the rationals of given discriminant d is $O_\eps(d^{1/2+\eps})$ for all $\eps>0$. For a prime number p we derive that the dimension of the space of octahedral modular forms of weight 1 and conductor p or p² is bounded above by O(p¹/²log(p)²). }},
  author       = {{Klüners, Jürgen}},
  issn         = {{0065-1036}},
  journal      = {{Acta Arithmetica}},
  keywords     = {{Algebra and Number Theory}},
  number       = {{2}},
  pages        = {{185--194}},
  publisher    = {{Institute of Mathematics, Polish Academy of Sciences}},
  title        = {{{The number of S₄-fields with given discriminant}}},
  doi          = {{10.4064/aa122-2-3}},
  volume       = {{122}},
  year         = {{2006}},
}