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

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Buell, Duncan (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2004.
• Σειρά: Lecture Notes in Computer Science, 3076
• Θέματα: Mathematics.; Data encryption (Computer science).; Algorithms.; Computer science > Mathematics.; Number theory.; Number Theory.; Algorithm Analysis and Problem Complexity.; Discrete Mathematics in Computer Science.; Data Encryption.; Symbolic and Algebraic Manipulation.

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,...

Πίνακας περιεχομένων:

• 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
• Lagrange Resolvents Constructed from Stark Units
• Cryptanalysis of a Divisor Class Group Based Public-Key Cryptosystem.