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A new method of computing fundamental units in algebraic number fields

  • Computational Number Theory
  • Conference paper
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Book cover EUROCAL '85 (EUROCAL 1985)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 204))

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References

  1. U. Fincke, Ein Ellipsoidverfahren zur Lösung von Normgleichungen in algebraischen Zahlkörpern, Thesis, Düsseldorf 1984.

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  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.

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  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.

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  4. A.K. Lenstra, H.W. Lenstra Jr. & L. Lovasz, Factoring polynomials with rational coefficients, Math.Ann. 261 (1982), 515–534.

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  5. M. Pohst, H. Zassenhaus (& P. Weiler), On effective computation of fundamental units I,II, Math.Comp. 38 (1982), 275–292 and 293–329.

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  6. P. Weiler, Ein Programm zur Berechnung von Grundeinheitensystemen algebraischer Zahlkörper, Diplomarbeit, Köln 1981/82.

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Authors and Affiliations

  1. Mathematisches Institut Universität Düsseldorf, Universitätsstr. 1, 4000, Düsseldorf 1, Germany

    U. Fincke & M. Pohst

Authors
  1. U. Fincke
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  2. M. Pohst
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Bob F. Caviness

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© 1985 Springer-Verlag Berlin Heidelberg

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Fincke, U., Pohst, M. (1985). A new method of computing fundamental units in algebraic number fields. In: Caviness, B.F. (eds) EUROCAL '85. EUROCAL 1985. Lecture Notes in Computer Science, vol 204. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-15984-3_315

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  • DOI: https://doi.org/10.1007/3-540-15984-3_315

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15984-1

  • Online ISBN: 978-3-540-39685-7

  • eBook Packages: Springer Book Archive

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