Algorithmic number theory : 6th international symposium, ANTS-VI, Burlington, VT, USA, June 13-18, 2004 : proceedings

The sixth Algorithmic Number Theory Symposium was held at the University of Vermont, in Burlington, from 13 18 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,...

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Bibliographische Detailangaben
Körperschaft: Algorithmic number theory symposium :Burlington, Vt., USA
Weitere Verfasser: Buell, Duncan (Verlagsleitung)
Format: Livre numérique
Sprache:Anglais
Veröffentlicht: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Schriftenreihe:Lecture notes in computer science 3076
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Edition sous un autre format:• Algorithmic number theory, 6th international symposium, ANTS-VI, Burlington, VT, USA, June 13-18, 2004, proceedings, Duncan Buell (ed.), Berlin, Springer, 2004, 1 vol. (XI-450 p.), Lecture notes in computer science, 3-540-22156-5
• Algorithmic Number Theory, Texte imprimé, 9783662190951
Inhaltsangabe:
  • Invited Talks
  • Computing Zeta Functions via p-Adic Cohomology
  • Using Primitive Subgroups to Do More with Fewer Bits
  • Elliptic Curves of Large Rank and Small Conductor
  • Contributed Papers
  • Binary GCD Like Algorithms for Some Complex Quadratic Rings
  • On the Complexity of Computing Units in a Number Field
  • Implementing the Arithmetic of C 3,4 Curves
  • Pseudocubes and Primality Testing
  • Elliptic Curves with a Given Number of Points
  • Rational Divisors in Rational Divisor Classes
  • Conjectures about Discriminants of Hecke Algebras of Prime Level
  • Montgomery Scalar Multiplication for Genus 2 Curves
  • Improved Weil and Tate Pairings for Elliptic and Hyperelliptic Curves
  • Elliptic Curves x 3 + y 3 = k of High Rank
  • Proving the Primality of Very Large Numbers with fastECPP
  • A Low-Memory Parallel Version of Matsuo, Chao, and Tsujii s Algorithm
  • Function Field Sieve in Characteristic Three
  • A Comparison of CEILIDH and XTR
  • Stable Models of Elliptic Curves, Ring Class Fields, and Complex Multiplication
  • An Algorithm for Computing Isomorphisms of Algebraic Function Fields
  • A Method to Solve Cyclotomic Norm Equations
  • Imaginary Cyclic Quartic Fields with Large Minus Class Numbers
  • Nonic 3-adic Fields
  • Montgomery Addition for Genus Two Curves
  • Numerical Evaluation at Negative Integers of the Dedekind Zeta Functions of Totally Real Cubic Number Fields
  • Salem Numbers of Trace -2 and Traces of Totally Positive Algebraic Integers
  • Low-Dimensional Lattice Basis Reduction Revisited
  • Computing Order Statistics in the Farey Sequence
  • The Discrete Logarithm in Logarithmic l-Class Groups and Its Applications in K-theory
  • Point Counting on Genus 3 Non Hyperelliptic Curves
  • Algorithmic Aspects of Cubic Function Fields
  • A Binary Recursive Gcd Algorithm
  • LagrangeResolvents Constructed from Stark Units
  • Cryptanalysis of a Divisor Class Group Based Public-Key Cryptosystem.