26
Views
4
CrossRef citations to date
0
Altmetric
Original Article

A New Algorithm for the Computation of Logarithmic l-Class Groups of Number Fields

, , , &
Pages 65-74 | Published online: 30 Jan 2011

  • J. J. Canon et al. "The Computer Algebra System Magma." Available from World Wide Web (http://magma.maths.usyd.edu.au/magma/), 2003. http://magma.maths.usyd.edu.au/magma/
  • H. Cohen. A Course in Computational Algebraic Number Theory. New York: Springer-Verlag, 1993.
  • H. Cohen. Advanced Topics in Computational Number Theory. New York: Springer-Verlag, 2000.
  • F. Diaz y Diaz and F. Soriano. "Approche algorithmique du groupe des classes logarithmiques." J. Number Theory 76 (1999), 1–15.
  • I. Dubois and F. Soriano- Gafiuk. "Un nouveau reǵulateur de type Gross." Abh. Math. Sem. Univ. Hamburg 74 (2004), 1–11.
  • L. J. Federer and B. H. Gross (with an appendix by W. Sinnot). "Regulators and Iwasawa Modules." Invent. Math. 62 (1981), 443–457.
  • D. Ford, S. Pauli, and X. -F. Roblot. "A Fast Algorithm for Polynomial Factorization Over ℚp." J. Théor. Nombres Bordeaux 14 (2002), 151–170.
  • G. Gras. Class Field Theory, Springer Monographs in Mathematics. New York: Springer-Verlag, 2003.
  • H. Hasse. Number Theory. Berlin: Springer Verlag, 1980.
  • F. Hess. "Zur Klassengruppenberechnung in algebraischen Zahlkörpern." Available from World Wide Web (http://www.math.TU-Berlin.DE/~kant/publications/diplom/hess.ps.gz), 1996. http://www.math.TU-Berlin.DE/~kant/publications/diplom/hess.ps.gz
  • F. Hess, S. Pauli, and M. E. Pohst. "Computing the Multiplicative Group of Residue Class Rings." Mathematics of Computation 72 (2003), 1531–1548.
  • J. -F. Jaulent. "Classes logarithmiques des corps de nombres." J. Théor. Nombres Bordeaux 6 (1994), 301–325.
  • J. -F. Jaulent. "Théorie ℓ-adique du corps de classes." J. Théor. Nombres Bordeaux 10 (1998), 355–397.
  • J. -F. Jaulent. "Classes logarithmiques signées des corps de nombres." J. Théor. Nombres Bordeaux 12 (2000), 455–474.
  • J. -F. Jaulent. "Corrigendum à classes logarithmiques signées des corps de nombres." J. Théor. Nombres Bordeaux 14 (2002), 1–5.
  • J. -F. Jaulent. "Classes logarithmiques des corps totalement réels." Acta Arithmetica 103 (2002), 1–7.
  • J. -F. Jaulent and F. Soriano. "Sur le noyau sauvage des corps de nombres et le groupe des classes logarithmiques." Math. Z. 238 (2001), 335–354.
  • J. -F. Jaulent and F. Soriano-Gafiuk. "2-groupe des classes positives d'un corps de nombres et noyau sauvage de la K-Théorie." J. Number Theory 108 (2004), 187–208.
  • S. Pauli. "Factoring Polynomials over Local Fields." J. Symb. Comp. 32 (2001), 533–547.
  • M. E. Pohst and H. Zassenhaus. Algorithmic Algebraic Number Theory. Cambridge, UK: Cambridge University Press, 1989.
  • F. Soriano. "Sur le noyau hilbertien d'un corps de nombres." C. R. Acad. Sci., Série I 330 (2000), 863–866.

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.