Algorithmic Number Theory 4th International Symposium, ANTS-IV Leiden, The Netherlands, July 2-7, 2000 Proceedings /

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Bosma, Wieb (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2000.
• Έκδοση: 1st ed. 2000.
• Σειρά: Lecture Notes in Computer Science, 1838
• Θέματα: Number theory.; Data encryption (Computer science).; Algorithms.; Computer science-Mathematics.; Number Theory.; Cryptology.; Algorithm Analysis and Problem Complexity.; Symbolic and Algebraic Manipulation.; Discrete Mathematics in Computer Science.

 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 -- Numerical Verification 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].