Skip to main content

The generalized Voronoi-algorithm in totally real algebraic number fields

  • Computational Number Theory
  • Conference paper
  • First Online:
EUROCAL '85 (EUROCAL 1985)

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

Included in the following conference series:

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Bachem, A.; Kannan R. Lattices and basis reduction algorithm Preprint, Köln 1984

    Google Scholar 

  2. Borewicz, S.I.; Safarevic, I.R. Zahlentheorie Basel und Stuttgart 1966

    Google Scholar 

  3. Buchmann, J. A generalization of Voronoi's unit algorithm I, II To appear in J. Number Theory

    Google Scholar 

  4. Delone, B.N.; Faddeev, D.K. The theory of irrationalities of the third degree Am. Math. Soc. Transl. of Math. Monographs 10 (1964)

    Google Scholar 

  5. Lenstra, A.K.; Lenstra, H.W.Jr.; Lovasz, L. Factoring polynomials with rational coefficients Math. Ann. 261 (1982), pp. 513–534

    Article  Google Scholar 

  6. Lenstra, H.W.Jr. Integer programming with a fixed number of variables Mathem. Oper. Res. 8 (1983), pp. 538–548

    Google Scholar 

  7. Narkiewicz, W. Algebraic numbers Warszawa 1974

    Google Scholar 

  8. Pohst, M. A number geometric method for testing isomorphy in algebraic number fields To appear

    Google Scholar 

  9. Pohst, M.; Weiler, P.; Zassenhaus, H. On effective computation of fundamental units I, II Math. Comp. 38, (1982), pp. 275–328

    Google Scholar 

  10. Steiner, R.P. On the units in algebraic number fields Proc. 6th. Manitoba Conf. Num. Math. (1976), pp. 413–435

    Google Scholar 

  11. Zimmer, H.G. Computational problems, methods and results in algebraic number theory Lect. Notes in Math. 262 (1972)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Bob F. Caviness

Rights and permissions

Reprints and permissions

Copyright information

© 1985 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Buchmann, J. (1985). The generalized Voronoi-algorithm in totally real 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_316

Download citation

  • DOI: https://doi.org/10.1007/3-540-15984-3_316

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15984-1

  • Online ISBN: 978-3-540-39685-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics