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Algorithmic Number Theory

6th International Symposium, ANTS-VI, Burlington, VT, USA, June 13-18, 2004, Proceedings

  • Duncan Buell
Conference proceedings ANTS 2004

Part of the Lecture Notes in Computer Science book series (LNCS, volume 3076)

Table of contents

  1. Front Matter
  2. Invited Talks

    1. K. Rubin, A. Silverberg
      Pages 18-41
    2. Noam D. Elkies, Mark Watkins
      Pages 42-56
  3. Contributed Papers

    1. Saurabh Agarwal, Gudmund Skovbjerg Frandsen
      Pages 57-71
    2. V. Arvind, Piyush P. Kurur
      Pages 72-86
    3. Abdolali Basiri, Andreas Enge, Jean-Charles Faugère, Nicolas Gürel
      Pages 87-101
    4. P. Berrizbeitia, S. Müller, H. C. Williams
      Pages 102-116
    5. Reinier Bröker, Peter Stevenhagen
      Pages 117-131
    6. N. Bruin, E. V. Flynn
      Pages 132-139
    7. Frank Calegari, William A. Stein
      Pages 140-152
    8. Kirsten Eisenträger, Kristin Lauter, Peter L. Montgomery
      Pages 169-183
    9. Noam D. Elkies, Nicholas F. Rogers
      Pages 184-193
    10. J. Franke, T. Kleinjung, F. Morain, T. Wirth
      Pages 194-207
    11. R. Granger, A. J. Holt, D. Page, N. P. Smart, F. Vercauteren
      Pages 223-234
    12. R. Granger, D. Page, M. Stam
      Pages 235-249
    13. Jordi Guàrdia, Eugenia Torres, Montserrat Vela
      Pages 250-262
    14. Nick Howgrave-Graham, Mike Szydlo
      Pages 272-279
    15. M. J. Jacobson Jr., H. C. Williams, K. Wooding
      Pages 280-292
    16. John W. Jones, David P. Roberts
      Pages 293-308
    17. Tanja Lange
      Pages 309-317
    18. Phong Q. Nguyen, Damien Stehlé
      Pages 338-357
    19. Corina E. Pǎtraşcu, Mihai Pǎtraşcu
      Pages 358-366
    20. Sebastian Pauli, Florence Soriano-Gafiuk
      Pages 367-378
    21. Christophe Ritzenthaler
      Pages 379-394
    22. Damien Stehlé, Paul Zimmermann
      Pages 411-425
    23. Brett A. Tangedal
      Pages 426-441
    24. Aaram Yun, Jaeheon Kim, Dong Hoon Lee
      Pages 442-450
  4. Back Matter

About these proceedings

Introduction

The sixth Algorithmic Number Theory Symposium was held at the University of Vermont, in Burlington, from 13–18 June 2004. The organization was a joint e?ort of number theorists from around the world. There were four invited talks at ANTS VI, by Dan Bernstein of the Univ- sity of Illinois at Chicago, Kiran Kedlaya of MIT, Alice Silverberg of Ohio State University, and Mark Watkins of Pennsylvania State University. Thirty cont- buted talks were presented, and a poster session was held. This volume contains the written versions of the contributed talks and three of the four invited talks. (Not included is the talk by Dan Bernstein.) ANTS in Burlington is the sixth in a series that began with ANTS I in 1994 at Cornell University, Ithaca, New York, USA and continued at Universit´eB- deaux I, Bordeaux, France (1996), Reed College, Portland, Oregon, USA (1998), the University of Leiden, Leiden, The Netherlands (2000), and the University of Sydney, Sydney, Australia (2002). The proceedings have been published as volumes 877, 1122, 1423, 1838, and 2369 of Springer-Verlag’s Lecture Notes in Computer Science series. The organizers of the 2004 ANTS conference express their special gratitude and thanks to John Cannon and Joe Buhler for invaluable behind-the-scenes advice.

Keywords

Farey sequence Prime algebraic geometry algebraic number fields algebraic number theory algorithmic number theory algorithms complexity computational number theory elliptic curve computations factoring finite field computations number theory statistics zeta functions

Editors and affiliations

  • Duncan Buell
    • 1
  1. 1.Department of Computer Science and EngineeringUniversity of South Carolina ColumbiaUSA

Bibliographic information

  • DOI https://doi.org/10.1007/b98210
  • Copyright Information Springer-Verlag Berlin Heidelberg 2004
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-22156-2
  • Online ISBN 978-3-540-24847-7
  • Series Print ISSN 0302-9743
  • Series Online ISSN 1611-3349
  • Buy this book on publisher's site
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