Algorithmic number theory : 7th international symposium, ANTS-VII, Berlin, Germany, July 23-28, 2006 : proceedings

Table of Contents

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   Book Overview
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   Chapter 1 Computing Pro- P Galois Groups
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   Chapter 2 The Elliptic Curve Database for Conductors to 130000
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   Chapter 3 On the Computation of the Coefficients of a Modular Form
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   Chapter 4 Cohen–Lenstra Heuristics of Quadratic Number Fields
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   Chapter 5 An Algorithm for Computing p -Class Groups of Abelian Number Fields
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   Chapter 6 Computation of Locally Free Class Groups
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   Chapter 7 Numerical Results on Class Groups of Imaginary Quadratic Fields
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   Chapter 8 Cyclic Polynomials Arising from Kummer Theory of Norm Algebraic Tori
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    Chapter 9 The Totally Real Primitive Number Fields of Discriminant at Most 10 9
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    Chapter 10 A Modular Method for Computing the Splitting Field of a Polynomial
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    Chapter 11 On the Density of Sums of Three Cubes
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    Chapter 12 The Mertens Conjecture Revisited
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    Chapter 13 Fast Bounds on the Distribution of Smooth Numbers
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    Chapter 14 Use of Extended Euclidean Algorithm in Solving a System of Linear Diophantine Equations with Bounded Variables
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    Chapter 15 The Pseudosquares Prime Sieve
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    Chapter 16 Doubly-Focused Enumeration of Pseudosquares and Pseudocubes
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    Chapter 17 Practical Lattice Basis Sampling Reduction
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    Chapter 18 LLL on the Average
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    Chapter 19 On the Randomness of Bits Generated by Sufficiently Smooth Functions
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    Chapter 20 Computing a Lower Bound for the Canonical Height on Elliptic Curves over ℚ
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    Chapter 21 Points of Low Height on Elliptic Curves and Surfaces I: Elliptic Surfaces over  ${\mathbb P}^1$ with Small  d
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    Chapter 22 Shimura Curves for Level-3 Subgroups of the (2,3,7) Triangle Group, and Some Other Examples
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    Chapter 23 The Asymptotics of Points of Bounded Height on Diagonal Cubic and Quartic Threefolds
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    Chapter 24 Testing Equivalence of Ternary Cubics
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    Chapter 25 Classification of Genus 3 Curves in Special Strata of the Moduli Space
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    Chapter 26 Heegner Point Computations Via Numerical p -Adic Integration
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    Chapter 27 Symmetric Powers of Elliptic Curve L-Functions
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    Chapter 28 Determined Sequences, Continued Fractions, and Hyperelliptic Curves
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    Chapter 29 Computing CM Points on Shimura Curves Arising from Cocompact Arithmetic Triangle Groups
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    Chapter 30 Arithmetic of Generalized Jacobians
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    Chapter 31 Hidden Pairings and Trapdoor DDH Groups
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    Chapter 32 Constructing Pairing-Friendly Elliptic Curves with Embedding Degree 10
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    Chapter 33 Fast Bilinear Maps from the Tate-Lichtenbaum Pairing on Hyperelliptic Curves
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    Chapter 34 High Security Pairing-Based Cryptography Revisited
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    Chapter 35 Efficiently Computable Endomorphisms for Hyperelliptic Curves
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    Chapter 36 Construction of Rational Points on Elliptic Curves over Finite Fields
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    Chapter 37 20 Years of ECM
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    Chapter 38 An Index Calculus Algorithm for Plane Curves of Small Degree
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    Chapter 39 Signature Calculus and Discrete Logarithm Problems
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    Chapter 40 Spectral Analysis of Pollard Rho Collisions
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    Chapter 41 Hard Instances of the Constrained Discrete Logarithm Problem