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Lecture Notes in Computer Science

Algorithmic Number Theory

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

Editors: Fieker, Claus, Kohel, David R. (Eds.)

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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)


Table of contents (39 chapters)

Table of contents (39 chapters)
  • Gauss Composition and Generalizations

    Pages 1-8

    Bhargava, Manjul

  • Elliptic Curves — The Crossroads of Theory and Computation

    Pages 9-19

    Coates, John

  • The Weil and Tate Pairings as Building Blocks for Public Key Cryptosystems

    Pages 20-32

    Joux, Antoine

  • Using Elliptic Curves of Rank One towards the Undecidability of Hilbert’s Tenth Problem over Rings of Algebraic Integers

    Pages 33-42

    Poonen, Bjorn

  • On p-adic Point Counting Algorithms for Elliptic Curves over Finite Fields

    Pages 43-66

    Satoh, Takakazu

Buy this book

eBook $79.99
price for USA in USD (gross)
  • ISBN 978-3-540-45455-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $99.99
price for USA in USD
  • ISBN 978-3-540-43863-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Algorithmic Number Theory
Book Subtitle
5th International Symposium, ANTS-V, Sydney, Australia, July 7-12, 2002. Proceedings
Editors
  • Claus Fieker
  • David R. Kohel
Series Title
Lecture Notes in Computer Science
Series Volume
2369
Copyright
2002
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-45455-7
DOI
10.1007/3-540-45455-1
Softcover ISBN
978-3-540-43863-2
Series ISSN
0302-9743
Edition Number
1
Number of Pages
X, 522
Topics