@article{42790,
  abstract     = {{We show that exceptional algebraic groups over number fields do not admit one-class genera of parahoric groups, except in the case G₂ . For the group G₂, we enumerate all such one-class genera for the usual seven-dimensional representation.}},
  author       = {{Kirschmer, Markus}},
  issn         = {{1246-7405}},
  journal      = {{Journal de Théorie des Nombres de Bordeaux}},
  keywords     = {{Algebra and Number Theory}},
  number       = {{3}},
  pages        = {{847--857}},
  publisher    = {{Cellule MathDoc/CEDRAM}},
  title        = {{{One-class genera of exceptional groups over number fields}}},
  doi          = {{10.5802/jtnb.1052}},
  volume       = {{30}},
  year         = {{2018}},
}

@article{34889,
  abstract     = {{We prove that van Hoeij’s original algorithm to factor univariate polynomials over the rationals runs in polynomial time, as well as natural variants. In particular, our approach also yields polynomial time complexity results for bivariate polynomials over a finite field.}},
  author       = {{Belabas, Karim and van Hoeij, Mark and Klüners, Jürgen and Steel, Allan}},
  issn         = {{1246-7405}},
  journal      = {{Journal de Théorie des Nombres de Bordeaux}},
  keywords     = {{Algebra and Number Theory}},
  number       = {{1}},
  pages        = {{15--39}},
  publisher    = {{Cellule MathDoc/CEDRAM}},
  title        = {{{Factoring polynomials over global fields}}},
  doi          = {{10.5802/jtnb.655}},
  volume       = {{21}},
  year         = {{2009}},
}

@article{34891,
  abstract     = {{We study the asymptotics conjecture of Malle for dihedral groups Dℓ of order 2ℓ, where ℓ is an odd prime. We prove the expected lower bound for those groups. For the upper bounds we show that there is a connection to class groups of quadratic number fields. The asymptotic behavior of those class groups is predicted by the Cohen--Lenstra heuristics. Under the assumption of this heuristic we are able to prove the expected upper bounds. }},
  author       = {{Klüners, Jürgen}},
  issn         = {{1246-7405}},
  journal      = {{Journal de Théorie des Nombres de Bordeaux}},
  keywords     = {{Algebra and Number Theory}},
  number       = {{3}},
  pages        = {{607--615}},
  publisher    = {{Cellule MathDoc/CEDRAM}},
  title        = {{{Asymptotics of number fields and the Cohen–Lenstra heuristics}}},
  doi          = {{10.5802/jtnb.561}},
  volume       = {{18}},
  year         = {{2006}},
}

