算法数论Algorithmic number theory
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作者： Claus Fieker 著
出 版 社： 湖南文艺出版社
出版时间： 2002-12-1字数：版次： 1页数： 517印刷时间： 2002/12/01开本：印次：纸张： 胶版纸I S B N ： 9783540438632包装： 平装编辑推荐
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内容简介
This book constitutes the refereed proceedings of the 5th International Algorithmic Number Theory Symposium, ANTS-V, held in Sydney, Australia, in July 2002.The 34 revised full papers presented together with 5 invited papers have gone through a thorough round of reviewing, selection and revision. The papers are organized in topical sections on number theory, arithmetic geometry, elliptic curves and CM, point counting, cryptography, function fields, discrete logarithms and factoring, Groebner bases, and complexity.
目录
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 ax7 + bx + c and axs + 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 Dy2 = x3 - 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
Cyptography
Function Fields
Discrete Logarithms and Factoring
Grobner Bases
Complexity
Author Index
