6. ANTS 2004:
Burlington, VT, USA
Duncan A. Buell (Ed.):
Algorithmic Number Theory, 6th International Symposium, ANTS-VI, Burlington, VT, USA, June 13-18, 2004, Proceedings.
Lecture Notes in Computer Science 3076 Springer 2004, ISBN 3-540-22156-5
- 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 C3, 4Curves.
87-101

- Pedro Berrizbeitia, Siguna 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

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