书籍详情
算法数论
作者：Florian Hess 等著
出版社：崇文书局（原湖北辞书出版社）
出版时间：2006-12-01
ISBN：9783540360759
定价：¥813.60
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内容简介
This book constitutes the refereed proceedings of the 7th International Algorithmic Number Theory Symposium， ANTS 2006， held in Berlin， Germany in July 2006.The 37 revised full papers presented together with 4 invited papers were carefully reviewed and selected for inclusion in the book. The papers are organized in topical sections on algebraic number theory， analytic and elementary number theory， lattices， curves and varieties over fields of characteristic zero， curves over finite fields and applications， and discrete logarithms.
作者简介
暂缺《算法数论》作者简介
目录
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 Fhnctions
Curves and Varieties over Fields of Characteristic Zero
Computing a Lower Bound for the Canonical Height on Elliptic Curves over Q
Points of Low Height on Elliptic Curves and Surfaces I: Elliptic Surfaces over 171 with Small d
Shimura Curves for Level-3 Subgroups of the (2, 3, 7) Triangle Group and Some Other Examples
……
Curves over Finite Fields and Applications
Discrete Lograithms
Auhtor Index
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 Fhnctions
Curves and Varieties over Fields of Characteristic Zero
Computing a Lower Bound for the Canonical Height on Elliptic Curves over Q
Points of Low Height on Elliptic Curves and Surfaces I: Elliptic Surfaces over 171 with Small d
Shimura Curves for Level-3 Subgroups of the (2, 3, 7) Triangle Group and Some Other Examples
……
Curves over Finite Fields and Applications
Discrete Lograithms
Auhtor Index
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