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Algorithmic Number Theory

8th International Symposium, ANTS-VIII Banff, Canada, May 17-22, 2008 Proceedings

  • Editors
  • Alfred J. van der Poorten
  • Andreas Stein

Part of the Lecture Notes in Computer Science book series (LNCS, volume 5011)

Table of contents

  1. Front Matter
  2. Invited Papers

    1. Ernie Croot, Andrew Granville, Robin Pemantle, Prasad Tetali
      Pages 1-36
    2. R. E. Sawilla, A. K. Silvester, H. C. Williams
      Pages 37-59
  3. Elliptic Curves Cryptology and Generalizations

    1. David Freeman, Peter Stevenhagen, Marco Streng
      Pages 60-73
    2. Jorge Jiménez Urroz
      Pages 74-87
  4. Arithmetic of Elliptic Curves

    1. Richard P. Brent, Pierrick Gaudry, Emmanuel Thomé, Paul Zimmermann
      Pages 153-166
  5. Integer Factorization

    1. Peter L. Montgomery, Alexander Kruppa
      Pages 180-195
  6. K3 Surfaces

    1. Andreas-Stephan Elsenhans, Jörg Jahnel
      Pages 212-225
  7. Number Fields

  8. Point Counting

    1. Juliana Belding, Reinier Bröker, Andreas Enge, Kristin Lauter
      Pages 282-295
    2. Wouter Castryck, Hendrik Hubrechts, Frederik Vercauteren
      Pages 296-311
    3. Kiran S. Kedlaya, Andrew V. Sutherland
      Pages 312-326
    4. Remke Kloosterman
      Pages 327-341
  9. Arithmetic of Function Fields

    1. Steven D. Galbraith, Michael Harrison, David J. Mireles Morales
      Pages 342-356
    2. Pieter Rozenhart, Renate Scheidler
      Pages 357-370
  10. Modular Forms

    1. Lassina Dembélé, Steve Donnelly
      Pages 371-386
    2. Paul E. Gunnells, Dan Yasaki
      Pages 387-401
  11. Cryptography

  12. Number Theory

    1. Edray Goins, Florian Luca, Alain Togbé
      Pages 430-442
  13. Back Matter

About these proceedings

Introduction

This book constitutes the refereed proceedings of the 8th International Algorithmic Number Theory Symposium, ANTS 2008, held in Banff, Canada, in May 2008.

The 28 revised full papers presented together with 2 invited papers were carefully reviewed and selected for inclusion in the book. The papers are organized in topical sections on elliptic curves cryptology and generalizations, arithmetic of elliptic curves, integer factorization, K3 surfaces, number fields, point counting, arithmetic of function fields, modular forms, cryptography, and number theory.

Keywords

Prime algebraic geometry algebraic number fields algebraic number theory algorithm algorithmic number theory algorithms computational number theory cryptography cryptology diophantine equation discrete Fourier transform elliptic curve computations factoring number theory

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-79456-1
  • Copyright Information Springer-Verlag Berlin Heidelberg 2008
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Computer Science
  • Print ISBN 978-3-540-79455-4
  • Online ISBN 978-3-540-79456-1
  • Series Print ISSN 0302-9743
  • Series Online ISSN 1611-3349
  • Buy this book on publisher's site