133
Views
24
CrossRef citations to date
0
Altmetric
Original Articles

On the Distribution of Class Groups of Number Fields

Pages 465-474 | Received 22 Sep 2009, Accepted 26 Sep 2009, Published online: 23 Feb 2011

REFERENCES

  • Achter , J. 2006 . “The Distribution of Class Groups of Function Fields.” . J. Pure Appl. Algebra , 204 : 316 – 333 . [Achter 06]
  • Achter , J. 2008 . “Results of Cohen-Lenstra Type for Quadratic Function Fields.” . In Computational Arithmetic Geometry 1 – 7 . Providence : Amer. Math. Soc. . Contemp. Math. 463, [Achter 08]
  • Andrews , G. E. 1976 . “The Theory of Partitions.” . In Encyclopedia of Mathematics and Its Applications Vol. 2 , Reading : Addison-Wesley. . [Andrews 76]
  • Cohen , H. and Martinet , J. 1987 . “Class Groups of Number Fields: Numerical Heuristics.” . Math. Comp , 48 : 123 – 137 . [Cohen and Martinet 87]
  • Cohen , H. and Martinet , J. 1990 . “Étude heuristique des groupes de classes des corps de nombres.” . J. Reine Angew. Math. , 404 : 39 – 76 . [Cohen and Martinet 90]
  • Cohen , H. , Diaz y Diaz , F. and Olivier , M. 2002 . “On the Density of Discriminants of Cyclic Extensions of Prime Degree.” . J. Reine Angew. Math. , 550 : 169 – 209 . [Cohen et al. 02]
  • Fulman , J. 2000 . “A Probabilistic Approach to Conjugacy Classes in the Finite Symplectic and Orthogonal Groups.” . J. Algebra , 234 : 207 – 224 . [Fulman 00]
  • Malle , G. 2008 . “Cohen-Lenstra Heuristic and Roots of Unity.” . J. Number Theory , 128 : 2823 – 2835 . [Malle 08]
  • Roberts , D. 2001 . “Density of Cubic Field Discriminants.” . Math. Comp. , 70 : 1699 – 1705 . [Roberts 01]

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.