Algorithmic Number Theory 5th International Symposium, ANTS-V, Sydney, Australia, July 7-12, 2002. Proceedings /

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Fieker, Claus (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt), Kohel, David R. (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2002.
• Έκδοση: 1st ed. 2002.
• Σειρά: Lecture Notes in Computer Science, 2369
• Θέματα: Number theory.; Algorithms.; Computer science-Mathematics.; Numerical analysis.; Data encryption (Computer science).; Number Theory.; Algorithm Analysis and Problem Complexity.; Discrete Mathematics in Computer Science.; Numeric Computing.; Cryptology.

Πίνακας περιεχομένων:

• Invited Talks
• Gauss Composition and Generalizations
• Elliptic Curves - The Crossroads of Theory and Computation
• The Weil and Tate Pairings as Building Blocks for Public Key Cryptosystems
• Using Elliptic Curves of Rank One towards the Undecidability of Hilbert's Tenth Problem over Rings of Algebraic Integers
• On p-adic Point Counting Algorithms for Elliptic Curves over Finite Fields
• Number Theory
• On Arithmetically Equivalent Number Fields of Small Degree
• A Survey of Discriminant Counting
• A Higher-Rank Mersenne Problem
• An Application of Siegel Modular Functions to Kronecker's Limit Formula
• Computational Aspects of NUCOMP
• Efficient Computation of Class Numbers of Real Abelian Number Fields
• An Accelerated Buchmann Algorithm for Regulator Computation in Real Quadratic Fields
• Arithmetic Geometry
• Some Genus 3 Curves with Many Points
• Trinomials ax 7 + bx + c and ax 8 + bx + c with Galois Groups of Order 168 and 8 · 168
• Computations on Modular Jacobian Surfaces
• Integral Points on Punctured Abelian Surfaces
• Genus 2 Curves with (3, 3)-Split Jacobian and Large Automorphism Group
• Transportable Modular Symbols and the Intersection Pairing
• Elliptic Curves and CM
• Action of Modular Correspondences around CM Points
• Curves Dy 2 = x 3 - x of Odd Analytic Rank
• Comparing Invariants for Class Fields of Imaginary Quadratic Fields
• A Database of Elliptic Curves - First Report
• Point Counting
• Isogeny Volcanoes and the SEA Algorithm
• Fast Elliptic Curve Point Counting Using Gaussian Normal Basis
• An Extension of Kedlaya's Algorithm to Artin-Schreier Curves in Characteristic 2
• Cryptography
• Implementing the Tate Pairing
• Smooth Orders and Cryptographic Applications
• Chinese Remaindering for Algebraic Numbers in a Hidden Field
• Function Fields
• An Algorithm for Computing Weierstrass Points
• New Optimal Tame Towers of Function Fields over Small Finite Fields
• Periodic Continued Fractions in Elliptic Function Fields
• Discrete Logarithms and Factoring
• Fixed Points and Two-Cycles of the Discrete Logarithm
• Random Cayley Digraphs and the Discrete Logarithm
• The Function Field Sieve Is Quite Special
• MPQS with Three Large Primes
• An Improved Baby Step Giant Step Algorithm for Point Counting of Hyperelliptic Curves over Finite Fields
• Factoring N = pq 2 with the Elliptic Curve Method
• Gröbner Bases
• A New Scheme for Computing with Algebraically Closed Fields
• Complexity
• Additive Complexity and Roots of Polynomials over Number Fields and -adic Fields.