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A new method of computing fundamental units in algebraic number fields

  • U. Fincke
  • M. Pohst
Computational Number Theory
Part of the Lecture Notes in Computer Science book series (LNCS, volume 204)

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References

  1. [1]
    U. Fincke, Ein Ellipsoidverfahren zur Lösung von Normgleichungen in algebraischen Zahlkörpern, Thesis, Düsseldorf 1984.Google Scholar
  2. [2]
    U. Fincke & M. Pohst, A procedure for determining algebraic integers of given norm, Proc. EUROCAL'83, Springer Lecture Notes in Comp.Sc. 162 (1983), 194–202.Google Scholar
  3. [3]
    U. Fincke & M. Pohst, Improved methods for calculating vectors of short length in a lattice including a complexity analysis, to appear in Math. Comp.Google Scholar
  4. [4]
    A.K. Lenstra, H.W. Lenstra Jr. & L. Lovasz, Factoring polynomials with rational coefficients, Math.Ann. 261 (1982), 515–534.Google Scholar
  5. [5]
    M. Pohst, H. Zassenhaus (& P. Weiler), On effective computation of fundamental units I,II, Math.Comp. 38 (1982), 275–292 and 293–329.Google Scholar
  6. [6]
    P. Weiler, Ein Programm zur Berechnung von Grundeinheitensystemen algebraischer Zahlkörper, Diplomarbeit, Köln 1981/82.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1985

Authors and Affiliations

  • U. Fincke
    • 1
  • M. Pohst
    • 1
  1. 1.Mathematisches Institut Universität DüsseldorfDüsseldorf 1Germany

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