6. ANTS 2004: Burlington, VT, USA

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