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Algorithmic Number Theory

5th International Symposium, ANTS-V, Sydney, Australia, July 7-12, 2002. Proceedings

  • Conference proceedings
  • © 2002

Overview

Editors:
  1. Claus Fieker

    1. School of Mathematics and Statistics, F07, University of Sydney, Sydney, Australia

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  2. David R. Kohel

    1. School of Mathematics and Statistics, F07, University of Sydney, Sydney, Australia

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Lecture Notes in Computer Science (LNCS, volume 2369)

Included in the following conference series:

Conference proceedings info: ANTS 2002.

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Table of contents (39 papers)

  1. Front Matter

    Pages I-X
    Download chapter PDF

  3. Number Theory

    1. On Arithmetically Equivalent Number Fields of Small Degree

      • Wieb Bosma, Bart de Smit
      Pages 67-79

    2. A Survey of Discriminant Counting

      • Henri Cohen, Francisco Diaz y Diaz, Michel Olivier
      Pages 80-94

    3. A Higher-Rank Mersenne Problem

      • Graham Everest, Peter Rogers, Thomas Ward
      Pages 95-107

    4. An Application of Siegel Modular Functions to Kronecker’s Limit Formula

      • Takashi Fukuda, Keiichi Komatsu
      Pages 108-119

    5. Computational Aspects of NUCOMP

      • Michael J. Jacobson Jr., Alfred J. van der Poorten
      Pages 120-133

    6. Efficient Computation of Class Numbers of Real Abelian Number Fields

      • Stéphane R. Louboutin
      Pages 134-147

    7. An Accelerated Buchmann Algorithm for Regulator Computation in Real Quadratic Fields

      • Ulrich Vollmer
      Pages 148-162

  4. Arithmetic Geometry

    1. Some Genus 3 Curves with Many Points

      • Roland Auer, Jaap Top
      Pages 163-171

    2. Trinomials ax 7 + bx + c and ax 8 + bx + c with Galois Groups of Order 168 and 8 · 168

      • Nils Bruinco, Noam D. Elkies
      Pages 172-188

    3. Computations on Modular Jacobian Surfaces

      • Enrique González-Jiménez, Josep González, Jordi Guàrdia
      Pages 189-197

    4. Integral Points on Punctured Abelian Surfaces

      • Andrew Kresch, Yuri Tschinkel
      Pages 198-204

    5. Genus 2 Curves with (3, 3)-Split Jacobian and Large Automorphism Group

      • Tony Shaska
      Pages 205-218

    6. Transportable Modular Symbols and the Intersection Pairing

      • Helena A. Verrill
      Pages 219-233

  5. Elliptic Curves and CM

    1. Action of Modular Correspondences around CM Points

      • Jean-Marc Couveignes, Thierry Henocq
      Pages 234-243
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Reviews

From the reviews:

"The book contains 39 articles about computational algebraic number theory, arithmetic geometry and cryptography. … The articles in this book reflect the broad interest of the organizing committee and the participants. The emphasis lies on the mathematical theory as well as on computational results. We recommend the book to students and researchers who want to read about current research in number theory and arithmetic geometry and its applications." (R. Carls, Nieuw Archief voor Wiskunde, Vol. 6 (3), 2005)

Editors and Affiliations

  • School of Mathematics and Statistics, F07, University of Sydney, Sydney, Australia

    Claus Fieker, David R. Kohel

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