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Algorithmic Number Theory

7th International Symposium, ANTS-VII, Berlin, Germany, July 23-28, 2006, Proceedings

  • Conference proceedings
  • © 2006

Overview

Editors:
  1. Florian Hess

    1. Technische Universität Berlin, Germany

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  2. Sebastian Pauli

    1. Institut für Mathematik, MA 8–1, Technische Universität Berlin, Berlin, Germany

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    You can also search for this editor in PubMed   Google Scholar

  3. Michael Pohst

    1. Institut für Mathematik, Technische Universität Berlin, Fakultät II, Berlin, Germany

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Part of the book series: Lecture Notes in Computer Science (LNCS, volume 4076)

Included in the following conference series:

Conference proceedings info: ANTS 2006.

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Table of contents (41 papers)

  1. Front Matter

    Download chapter PDF

  2. Invited Talks

    1. Computing Pro-P Galois Groups

      • Nigel Boston, Harris Nover
      Pages 1-10

    2. The Elliptic Curve Database for Conductors to 130000

      • John Cremona
      Pages 11-29

    3. On the Computation of the Coefficients of a Modular Form

      • Bas Edixhoven
      Pages 30-39

    4. Cohen–Lenstra Heuristics of Quadratic Number Fields

      • Étienne Fouvry, Jürgen Klüners
      Pages 40-55

  3. Algebraic Number Theory

    1. An Algorithm for Computing p-Class Groups of Abelian Number Fields

      • Miho Aoki, Takashi Fukuda
      Pages 56-71

    2. Computation of Locally Free Class Groups

      • Werner Bley, Robert Boltje
      Pages 72-86

    3. Numerical Results on Class Groups of Imaginary Quadratic Fields

      • Michael J. Jacobson Jr., Shantha Ramachandran, Hugh C. Williams
      Pages 87-101

    4. Cyclic Polynomials Arising from Kummer Theory of Norm Algebraic Tori

      • Masanari Kida
      Pages 102-113

    5. The Totally Real Primitive Number Fields of Discriminant at Most 109

      • Gunter Malle
      Pages 114-123

    6. A Modular Method for Computing the Splitting Field of a Polynomial

      • Guénaël Renault, Kazuhiro Yokoyama
      Pages 124-140

  4. Analytic and Elementary Number Theory

    1. On the Density of Sums of Three Cubes

      • Jean-Marc Deshouillers, François Hennecart, Bernard Landreau
      Pages 141-155

    2. The Mertens Conjecture Revisited

      • Tadej Kotnik, Herman te Riele
      Pages 156-167

    3. Fast Bounds on the Distribution of Smooth Numbers

      • Scott T. Parsell, Jonathan P. Sorenson
      Pages 168-181

    4. Use of Extended Euclidean Algorithm in Solving a System of Linear Diophantine Equations with Bounded Variables

      • Parthasarathy Ramachandran
      Pages 182-192

    5. The Pseudosquares Prime Sieve

      • Jonathan P. Sorenson
      Pages 193-207

    6. Doubly-Focused Enumeration of Pseudosquares and Pseudocubes

      • Kjell Wooding, Hugh C. Williams
      Pages 208-221

  5. Lattices

    1. Practical Lattice Basis Sampling Reduction

      • Johannes Buchmann, Christoph Ludwig
      Pages 222-237

    2. LLL on the Average

      • Phong Q. Nguyen, Damien Stehlé
      Pages 238-256

    3. On the Randomness of Bits Generated by Sufficiently Smooth Functions

      • Damien Stehlé
      Pages 257-274
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  1. Algorithmic Number Theory

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Editors and Affiliations

  • Technische Universität Berlin, Germany

    Florian Hess

  • Institut für Mathematik, MA 8–1, Technische Universität Berlin, Berlin, Germany

    Sebastian Pauli

  • Institut für Mathematik, Technische Universität Berlin, Fakultät II, Berlin, Germany

    Michael Pohst

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