Description 
1 online resource (x, 598 pages) : illustrations 
Series 
Lecture notes in computer science, 03029743 ; 4076 

Lecture notes in computer science ; 4076.

Contents 
Invited Talks  Computing ProP Galois Groups  The Elliptic Curve Database for Conductors to 130000  On the Computation of the Coefficients of a Modular Form  CohenLenstra Heuristics of Quadratic Number Fields  Algebraic Number Theory  An Algorithm for Computing pClass 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  DoublyFocused Enumeration of Pseudosquares and Pseudocubes  Lattices  Practical Lattice Basis Sampling Reduction  LLL on the Average  On the Randomness of Bits Generated by Sufficiently Smooth Functions  Curves and Varieties over Fields of Characteristic Zero  Computing a Lower Bound for the Canonical Height on Elliptic Curves over?  Points of Low Height on Elliptic Curves and Surfaces I: Elliptic Surfaces over with Small d  Shimura Curves for Level3 Subgroups of the (2,3,7) Triangle Group, and Some Other Examples  The Asymptotics of Points of Bounded Height on Diagonal Cubic and Quartic Threefolds  Testing Equivalence of Ternary Cubics  Classification of Genus 3 Curves in Special Strata of the Moduli Space  Heegner Point Computations Via Numerical pAdic Integration  Symmetric Powers of Elliptic Curve LFunctions  Determined Sequences, Continued Fractions, and Hyperelliptic Curves  Computing CM Points on Shimura Curves Arising from Cocompact Arithmetic Triangle Groups  Arithmetic of Generalized Jacobians  Hidden Pairings and Trapdoor DDH Groups  Constructing PairingFriendly Elliptic Curves with Embedding Degree 10  Fast Bilinear Maps from the TateLichtenbaum Pairing on Hyperelliptic Curves  High Security PairingBased Cryptography Revisited  Efficiently Computable Endomorphisms for Hyperelliptic Curves  Construction of Rational Points on Elliptic Curves over Finite Fields  20 Years of ECM  Discrete Logarithms  An Index Calculus Algorithm for Plane Curves of Small Degree  Signature Calculus and Discrete Logarithm Problems  Spectral Analysis of Pollard Rho Collisions  Hard Instances of the Constrained Discrete Logarithm Problem 
Analysis 
Algorithmic number theory 

ANTS 
Bibliography 
Includes bibliographical references and index 
Notes 
English 
In 
Springer eBooks 
Subject 
Number theory  Congresses


Software


Algorithms


software.


algorithms.


Number theory.


Informatique.


Number theory

Genre/Form 
proceedings (reports)


Conference papers and proceedings


Conference papers and proceedings.


Actes de congrès.

Form 
Electronic book

Author 
Hess, Florian.


Pauli, Sebastian.


Pohst, M.

ISBN 
3540360751 

9783540360759 

9783540360766 

354036076X 
