Algorithmic Number Theory

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

Editors:

ISBN: 978-3-540-22156-2 (Print) 978-3-540-24847-7 (Online)

Table of contents (33 chapters)

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  1. Front Matter

    Pages -

  2. Invited Talks

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      Book Chapter

      Pages 1-17

      Computing Zeta Functions via p-Adic Cohomology

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      Pages 18-41

      Using Primitive Subgroups to Do More with Fewer Bits

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      Pages 42-56

      Elliptic Curves of Large Rank and Small Conductor

  3. Contributed Papers

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      Book Chapter

      Pages 57-71

      Binary GCD Like Algorithms for Some Complex Quadratic Rings

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      Pages 72-86

      On the Complexity of Computing Units in a Number Field

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      Pages 87-101

      Implementing the Arithmetic of C 3,4 Curves

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      Pages 102-116

      Pseudocubes and Primality Testing

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      Pages 117-131

      Elliptic Curves with a Given Number of Points

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      Pages 132-139

      Rational Divisors in Rational Divisor Classes

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      Pages 140-152

      Conjectures about Discriminants of Hecke Algebras of Prime Level

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      Pages 153-168

      Montgomery Scalar Multiplication for Genus 2 Curves

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      Pages 169-183

      Improved Weil and Tate Pairings for Elliptic and Hyperelliptic Curves

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      Pages 184-193

      Elliptic Curves x 3 + y 3 = k of High Rank

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      Pages 194-207

      Proving the Primality of Very Large Numbers with fastECPP

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      Pages 208-222

      A Low-Memory Parallel Version of Matsuo, Chao, and Tsujii’s Algorithm

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      Pages 223-234

      Function Field Sieve in Characteristic Three

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      Pages 235-249

      A Comparison of CEILIDH and XTR

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      Pages 250-262

      Stable Models of Elliptic Curves, Ring Class Fields, and Complex Multiplication

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      Pages 263-271

      An Algorithm for Computing Isomorphisms of Algebraic Function Fields

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      Book Chapter

      Pages 272-279

      A Method to Solve Cyclotomic Norm Equations \(f * \bar{f}\)

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