Algorithmic Number Theory

4th International Symposium, ANTS-IV Leiden, The Netherlands, July 2-7, 2000. Proceedings

  • Wieb Bosma
Conference proceedings ANTS 2000

DOI: 10.1007/10722028

Part of the Lecture Notes in Computer Science book series (LNCS, volume 1838)

Table of contents (40 papers)

  1. Front Matter
  2. Invited Talks

  3. Contributed Papers

    1. New Results on Lattice Basis Reduction in Practice
      Werner Backes, Susanne Wetzel
      Pages 135-152
    2. Baby-Step Giant-Step Algorithms for Non-uniform Distributions
      Simon R. Blackburn, Edlyn Teske
      Pages 153-168
    3. On Powers as Sums of Two Cubes
      Nils Bruin
      Pages 169-184
    4. Factoring Polynomials over ρ-Adic Fields
      David G. Cantor, Daniel M. Gordon
      Pages 185-208
    5. Strategies in Filtering in the Number Field Sieve
      Stefania Cavallar
      Pages 209-231
    6. Computing Special Values of Partial Zeta Functions
      Gautam Chinta, Paul E. Gunnells, Robert Sczech
      Pages 247-256
    7. Construction of Tables of Quartic Number Fields
      Henri Cohen, Francisco Diaz y Diaz, Michel Olivier
      Pages 257-268
    8. Counting Discriminants of Number Fields of Degree up to Four
      Henri Cohen, Francisco Diaz y Diaz, Michel Olivier
      Pages 269-283
    9. On Reconstruction of Algebraic Numbers
      Claus Fieker, Carsten Friedrichs
      Pages 285-296
    10. Dissecting a Sieve to Cut Its Need for Space
      William F. Galway
      Pages 297-312
    11. Counting Points on Hyperelliptic Curves over Finite Fields
      Pierrick Gaudry, Robert Harley
      Pages 313-332
    12. Modular Forms for GL(3) and Galois Representations
      Bert van Geemen, Jaap Top
      Pages 333-346

About these proceedings

Keywords

Algorithmic Number Theory Computational Number Theory Elliptic Curve Computations Factoring Finite Field Computations L Functions Lattice Computations Number theory Zeta Functions algorithms cryptography

Editors and affiliations

  • Wieb Bosma
    • 1
  1. 1.Mathematisch InstituutUniversiteit NijmegenNijmegenThe Netherlands

Bibliographic information

  • Copyright Information Springer-Verlag Berlin Heidelberg 2000
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-67695-9
  • Online ISBN 978-3-540-44994-2
  • Series Print ISSN 0302-9743
  • Series Online ISSN 1611-3349