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E-raamat: Algorithmic Number Theory: 6th International Symposium, ANTS-VI, Burlington, VT, USA, June 13-18, 2004, Proceedings

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  • Sari: Lecture Notes in Computer Science 3076
  • Ilmumisaeg: 04-May-2004
  • Kirjastus: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • Keel: eng
  • ISBN-13: 9783540248477
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  • Formaat: PDF+DRM
  • Sari: Lecture Notes in Computer Science 3076
  • Ilmumisaeg: 04-May-2004
  • Kirjastus: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • Keel: eng
  • ISBN-13: 9783540248477
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The sixth Algorithmic Number Theory Symposium was held at the University of Vermont, in Burlington, from 1318 June 2004. The organization was a joint e ort of number theorists from around the world. There were four invited talks at ANTS VI, by Dan Bernstein of the Univ- sity of Illinois at Chicago, Kiran Kedlaya of MIT, Alice Silverberg of Ohio State University, and Mark Watkins of Pennsylvania State University. Thirty cont- buted talks were presented, and a poster session was held. This volume contains the written versions of the contributed talks and three of the four invited talks. (Not included is the talk by Dan Bernstein.) ANTS in Burlington is the sixth in a series that began with ANTS I in 1994 at Cornell University, Ithaca, New York, USA and continued at Universit´eB- deaux I, Bordeaux, France (1996), Reed College, Portland, Oregon, USA (1998), the University of Leiden, Leiden, The Netherlands (2000), and the University of Sydney, Sydney, Australia (2002). The proceedings have been published as volumes 877, 1122, 1423, 1838, and 2369 of Springer-Verlags Lecture Notes in Computer Science series. The organizers of the 2004 ANTS conference express their special gratitude and thanks to John Cannon and Joe Buhler for invaluable behind-the-scenes advice.

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Springer Book Archives
Invited Talks
Computing Zeta Functions via p-Adic Cohomology
1(17)
Kiran S. Kedlaya
Using Primitive Subgroups to Do More with Fewer Bits
18(24)
K. Rubin
A. Silverberg
Elliptic Curves of Large Rank and Small Conductor
42(15)
Noam D. Elkies
Mark Watkins
Contributed Papers
Binary GCD Like Algorithms for Some Complex Quadratic Rings
57(15)
Saurabh Agarwal
Gudmund Skovbjerg Frandsen
On the Complexity of Computing Units in a Number Field
72(15)
V. Arvind
Piyush P. Kurur
Implementing the Arithmetic of C3,4 Curves
87(15)
Abdolali Basiri
Andreas Enge
Jean-Charles Faugere
Nicolas Gurel
Pseudocubes and Primality Testing
102(15)
P. Berrizbeitia
S. Muller
H.C. Williams
Elliptic Curves with a Given Number of Points
117(15)
Reinier Broker
Peter Stevenhagen
Rational Divisors in Rational Divisor Classes
132(8)
N. Bruin
E. V. Flynn
Conjectures about Discriminants of Hecke Algebras of Prime Level
140(13)
Frank Calegari
William A. Stein
Montgomery Scalar Multiplication for Genus 2 Curves
153(16)
Sylvain Duquesne
Improved Weil and Tate Pairings for Elliptic and Hyperelliptic Curves
169(15)
Kirsten Eisentrager
Kristin Lauter
Peter L. Montgomery
Elliptic Curves x3 + y3 = k of High Rank
184(10)
Noam D. Elkies
Nicholas F. Rogers
Proving the Primality of Very Large Numbers with fastECPP
194(14)
J. Franke
T. Kleinjung
F. Morain
T. Wirth
A Low-Memory Parallel Version of Matsuo, Chao, and Tsujii's Algorithm
208(15)
Pierrick Gaudry
Eric Schost
Function Field Sieve in Characteristic Three
223(12)
R. Granger
A.J. Holt
D. Page
N.P. Smart
F. Vercauteren
A Comparison of Ceilidh and XTR
235(15)
R. Granger
D. Page
M. Stam
Stable Models of Elliptic Curves, Ring Class Fields, and Complex Multiplication
250(13)
Jordi Guardia
Eugenia Torres
Montserrat Vela
An Algorithm for Computing Isomorphisms of Algebraic Function Fields
263(9)
F. Hess
A Method to Solve Cyclotomic Norm Equations ƒ * ƒ
272(8)
Nick Howgrave-Graham
Mike Szydlo
Imaginary Cyclic Quartic Fields with Large Minus Class Numbers
280(13)
M.J. Jacobson, Jr.
H.C. Williams
K. Wooding
Nonic 3-adic Fields
293(16)
John W. Jones
David P. Roberts
Montgomery Addition for Genus Two Curves
309(9)
Tanja Lange
Numerical Evaluation at Negative Integers of the Dedekind Zeta Functions of Totally Real Cubic Number Fields
318(9)
Stephane R. Louboutin
Salem Numbers of Trace --2 and Traces of Totally Positive Algebraic Integers
327(11)
James McKee
Chris Smyth
Low-Dimensional Lattice Basis Reduction Revisited
338(20)
Phong Q. Nguyen
Damien Stehle
Computing Order Statistics in the Farey Sequence
358(9)
Corina E. Patrascu
Mihai Patrascu
The Discrete Logarithm in Logarithmic l-Class Groups and Its Applications in K-theory
367(12)
Sebastian Pauli
Florence Soriano-Gafiuk
Point Counting on Genus 3 Non Hyperelliptic Curves
379(16)
Christophe Ritzenthaler
Algorithmic Aspects of Cubic Function Fields
395(16)
R. Scheidler
A Binary Recursive Gcd Algorithm
411(15)
Damien Stehle
Paul Zimmermann
Lagrange Resolvents Constructed from Stark Units
426(16)
Brett A. Tangedal
Cryptanalysis of a Divisor Class Group Based Public-Key Cryptosystem
442(9)
Aaram Yun
Jaeheon Kim
Dong Hoon Lee
Author Index 451