Algorithmic number theory : 4th international symposium, ANTS-IV, Leiden, the Netherlands, July 2-7, 2000 : proceedings

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Bibliographische Detailangaben
Körperschaft: Algorithmic Number Theory Symposium :Leiden, Pays-Bas
Weitere Verfasser: Bosma, Wieb (Verlagsleitung)
Format: Livre numérique
Sprache:Anglais
Veröffentlicht: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Schriftenreihe:Lecture notes in computer science 1838
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Edition sous un autre format:• Algorithmic number theory, 4th international symposium, ANTS-IV, Leiden, the Netherlands, July 2-7, 2000, proceedings, Wieb Bosma (ed.), 2000, New York, Springer, 1 volume (IX-613 pages), Lecture notes in computer science, 3-540-67695-3
• Algorithmic Number Theory, Texte imprimé, 9783662179826
Inhaltsangabe:
  • Invited Talks
  • The Complexity of Some Lattice Problems
  • Rational Points Near Curves and Small Nonzero / x 3 ? y 2/ via Lattice Reduction
  • Coverings of Curves of Genus 2
  • Lattice Reduction in Cryptology: An Update
  • Contributed Papers
  • Construction of Secure C ab Curves Using Modular Curves
  • Curves over Finite Fields with Many Rational Points Obtained by Ray Class Field Extensions
  • New Results on Lattice Basis Reduction in Practice
  • Baby-Step Giant-Step Algorithms for Non-uniform Distributions
  • On Powers as Sums of Two Cubes
  • Factoring Polynomials over ?-Adic Fields
  • Strategies in Filtering in the Number Field Sieve
  • Factoring Polynomials over Finite Fields and Stable Colorings of Tournaments
  • Computing Special Values of Partial Zeta Functions
  • Construction of Tables of Quartic Number Fields
  • Counting Discriminants of Number Fields of Degree up to Four
  • On Reconstruction of Algebraic Numbers
  • Dissecting a Sieve to Cut Its Need for Space
  • Counting Points on Hyperelliptic Curves over Finite Fields
  • Modular Forms for GL(3) and Galois Representations
  • Modular Symbols and Hecke Operators
  • Fast Jacobian Group Arithmetic on C ab Curves
  • Lifting Elliptic Curves and Solving the Elliptic Curve Discrete Logarithm Problem
  • A One Round Protocol for Tripartite Diffie Hellman
  • On Exponential Sums and Group Generators for Elliptic Curves over Finite Fields
  • Component Groups of Quotients of J 0(N)
  • Fast Computation of Relative Class Numbers of CM-Fields
  • On Probable Prime Testing and the Computation of Square Roots mod n
  • Improving Group Law Algorithms for Jacobians of Hyperelliptic Curves
  • Central Values of Artin L-Functions for Quaternion Fields
  • The Pseudoprimes up to 1013
  • Computing the Number of Goldbach Partitions up to 5 108
  • NumericalVerification of the Brumer-Stark Conjecture
  • Explicit Models of Genus 2 Curves with Split CM
  • Reduction in Purely Cubic Function Fields of Unit Rank One
  • Factorization in the Composition Algebras
  • A Fast Algorithm for Approximately Counting Smooth Numbers
  • Computing All Integer Solutions of a General Elliptic Equation
  • A Note on Shanks s Chains of Primes
  • Asymptotically Fast Discrete Logarithms in Quadratic Number Fields
  • Asymptotically Fast GCD Computation in ?[i].