6. ANTS 2004: Burlington, VT, USA

• Kiran S. Kedlaya:
  Computing Zeta Functions via p-Adic Cohomology. 1-17
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• Karl Rubin, Alice Silverberg:
  Using Primitive Subgroups to Do More with Fewer Bits. 18-41
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• Noam D. Elkies, Mark Watkins:
  Elliptic Curves of Large Rank and Small Conductor. 42-56
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• Saurabh Agarwal, Gudmund Skovbjerg Frandsen:
  Binary GCD Like Algorithms for Some Complex Quadratic Rings. 57-71
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• Vikraman Arvind, Piyush P. Kurur:
  On the Complexity of Computing Units in a Number Field. 72-86
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• Abdolali Basiri, Andreas Enge, Jean-Charles Faugère, Nicolas Gürel:
  Implementing the Arithmetic of C_{3, 4}Curves. 87-101
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• Pedro Berrizbeitia, S. Müller, Hugh C. Williams:
  Pseudocubes and Primality Testing. 102-116
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• Reinier Bröker, Peter Stevenhagen:
  Elliptic Curves with a Given Number of Points. 117-131
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• Nils Bruin, E. Victor Flynn:
  Rational Divisors in Rational Divisor Classes. 132-139
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• Frank Calegari, William A. Stein:
  Conjectures about Discriminants of Hecke Algebras of Prime Level. 140-152
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• Sylvain Duquesne:
  Montgomery Scalar Multiplication for Genus 2 Curves. 153-168
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• Kirsten Eisenträger, Kristin Lauter, Peter L. Montgomery:
  Improved Weil and Tate Pairings for Elliptic and Hyperelliptic Curves. 169-183
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• Noam D. Elkies, Nicholas F. Rogers:
  Elliptic Curves x³ + y³ = k of High Rank. 184-193
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• Jens Franke, Thorsten Kleinjung, François Morain, T. Wirth:
  Proving the Primality of Very Large Numbers with fastECPP. 194-207
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• Pierrick Gaudry, Éric Schost:
  A Low-Memory Parallel Version of Matsuo, Chao, and Tsujii?s Algorithm. 208-222
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• Robert Granger, Andrew J. Holt, Dan Page, Nigel P. Smart, Frederik Vercauteren:
  Function Field Sieve in Characteristic Three. 223-234
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• Robert Granger, Dan Page, Martijn Stam:
  A Comparison of CEILIDH and XTR. 235-249
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• Jordi Guàrdia, Eugenia Torres, Montserrat Vela:
  Stable Models of Elliptic Curves, Ring Class Fields, and Complex Multiplication. 250-262
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• Florian Hess:
  An Algorithm for Computing Isomorphisms of Algebraic Function Fields. 263-271
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• Nick Howgrave-Graham, Michael Szydlo:
  A Method to Solve Cyclotomic Norm Equations. 272-279
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• Michael J. Jacobson Jr., Hugh C. Williams, Kjell Wooding:
  Imaginary Cyclic Quartic Fields with Large Minus Class Numbers. 280-292
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• John W. Jones, David P. Roberts:
  Nonic 3-adic Fields. 293-308
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• Tanja Lange:
  Montgomery Addition for Genus Two Curves. 309-317
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• Stéphane Louboutin:
  Numerical Evaluation at Negative Integers of the Dedekind Zeta Functions of Totally Real Cubic Number Fields. 318-326
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• James McKee, Chris Smyth:
  Salem Numbers of Trace -2 and Traces of Totally Positive Algebraic Integers. 327-337
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• Phong Q. Nguyen, Damien Stehlé:
  Low-Dimensional Lattice Basis Reduction Revisited. 338-357
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• Corina E. Patrascu, Mihai Patrascu:
  Computing Order Statistics in the Farey Sequence. 358-366
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• Sebastian Pauli, Florence Soriano-Gafiuk:
  The Discrete Logarithm in Logarithmic -Class Groups and Its Applications in K-theory. 367-378
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• Christophe Ritzenthaler:
  Point Counting on Genus 3 Non Hyperelliptic Curves. 379-394
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• Renate Scheidler:
  Algorithmic Aspects of Cubic Function Fields. 395-410
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• Damien Stehlé, Paul Zimmermann:
  A Binary Recursive Gcd Algorithm. 411-425
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• Brett A. Tangedal:
  Lagrange Resolvents Constructed from Stark Units. 426-441
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• Aaram Yun, Jaeheon Kim, Dong Hoon Lee:
  Cryptanalysis of a Divisor Class Group Based Public-Key Cryptosystem. 442-450
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