Algorithmic Number Theory 7th International Symposium, ANTS-VII, Berlin, Germany, July 23-28, 2006, Proceedings /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: SpringerLink (Online service)
Otros Autores: Hess, Florian (Editor ), Pauli, Sebastian (Editor ), Pohst, Michael (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2006.
Edición:1st ed. 2006.
Colección:Lecture Notes in Computer Science, 4076
Temas:
Number theory.
Algorithms.
Computer science-Mathematics.
Discrete mathematics.
Cryptography.
Data encryption (Computer science).
Number Theory.
Discrete Mathematics in Computer Science.
Cryptology.
Symbolic and Algebraic Manipulation.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Invited Talks
  • Computing Pro-P Galois Groups
  • The Elliptic Curve Database for Conductors to 130000
  • On the Computation of the Coefficients of a Modular Form
  • Cohen-Lenstra Heuristics of Quadratic Number Fields
  • Algebraic Number Theory
  • An Algorithm for Computing p-Class Groups of Abelian Number Fields
  • Computation of Locally Free Class Groups
  • Numerical Results on Class Groups of Imaginary Quadratic Fields
  • Cyclic Polynomials Arising from Kummer Theory of Norm Algebraic Tori
  • The Totally Real Primitive Number Fields of Discriminant at Most 109
  • A Modular Method for Computing the Splitting Field of a Polynomial
  • Analytic and Elementary Number Theory
  • On the Density of Sums of Three Cubes
  • The Mertens Conjecture Revisited
  • Fast Bounds on the Distribution of Smooth Numbers
  • Use of Extended Euclidean Algorithm in Solving a System of Linear Diophantine Equations with Bounded Variables
  • The Pseudosquares Prime Sieve
  • Doubly-Focused Enumeration of Pseudosquares and Pseudocubes
  • Lattices
  • Practical Lattice Basis Sampling Reduction
  • LLL on the Average
  • On the Randomness of Bits Generated by Sufficiently Smooth Functions
  • Curves and Varieties over Fields of Characteristic Zero
  • Computing a Lower Bound for the Canonical Height on Elliptic Curves over ?
  • Points of Low Height on Elliptic Curves and Surfaces I: Elliptic Surfaces over  with Small d
  • Shimura Curves for Level-3 Subgroups of the (2,3,7) Triangle Group, and Some Other Examples
  • The Asymptotics of Points of Bounded Height on Diagonal Cubic and Quartic Threefolds
  • Testing Equivalence of Ternary Cubics
  • Classification of Genus 3 Curves in Special Strata of the Moduli Space
  • Heegner Point Computations Via Numerical p-Adic Integration
  • Symmetric Powers of Elliptic Curve L-Functions
  • Determined Sequences, Continued Fractions, and Hyperelliptic Curves
  • Computing CM Points on Shimura Curves Arising from Cocompact Arithmetic Triangle Groups
  • Arithmetic of Generalized Jacobians
  • Hidden Pairings and Trapdoor DDH Groups
  • Constructing Pairing-Friendly Elliptic Curves with Embedding Degree 10
  • Fast Bilinear Maps from the Tate-Lichtenbaum Pairing on Hyperelliptic Curves
  • High Security Pairing-Based Cryptography Revisited
  • Efficiently Computable Endomorphisms for Hyperelliptic Curves
  • Construction of Rational Points on Elliptic Curves over Finite Fields
  • 20 Years of ECM
  • Discrete Logarithms
  • An Index Calculus Algorithm for Plane Curves of Small Degree
  • Signature Calculus and Discrete Logarithm Problems
  • Spectral Analysis of Pollard Rho Collisions
  • Hard Instances of the Constrained Discrete Logarithm Problem.

Ejemplares similares