The refereed Proceedings of ANTS VII are published in the
Springer series
Lecture Notes in Computer
Science Volume 4076
and were handed to the participants when they check in.
They are also available electronically.
The articles are organized into the chapters
Invited Talks,
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.
On this page you find slides of talks, source code of programs, errata, and other additional material.
[Communicated by Hugh Williams]
In honour of the many contributions of John Selfridge to mathematics, the
Number Theory Foundation
has established
a prize to be awarded to those individuals who have authored the best paper
accepted for presentation at ANTS.
The prize, called the Selfridge Prize, will normally be awarded every two
years in an even numbered year. The prize winner(s) receive a cash award
and a certificate. The successful paper will be selected by the
ANTS Program Committee.
Werner Bley
and Robert Boltje were awarded the
Selfridge Prize in Computational Number Theory
for their paper
Computation of locally free class groups.

Computing ProP Galois Groups

Nigel Boston and Harris Nover
 Talk

The Elliptic Curve Database

John Cremona

Database,
Errata,
Talk

On the Computation of the Coefficients of a Modular Form

Bas Edixhoven
 Talk

CohenLenstra heuristics of quadratic number fields

Etienne Fouvry and
Jürgen Klüners

(qHypergeometric Series and Modular Forms)

Don Zagier
 An algorithm for computing pclass groups of abelian number fields
 Miho Aoki and Takashi Fukuda
 Computation of locally free class groups
 Werner Bley and Robert Boltje
 Numerical Results on Class Groups of Imaginary Quadratic Fields
 M.J. Jacobson, S. Ramachandran, H.C. Williams

Supplementary Tables
 Cyclic polynomials arising from Kummer theory of norm algebraic tori
 Masanari Kida
 The totally real primitive number fields of discriminant at most 10^{9}
 Gunter Malle
 A Modular Method for Computing the Splitting Field of a Polynomial
 Guénaël Renault and Kazuhiro Yokoyama

The Density of Sums of Three Cubes
 JeanMarc Deshouillers, Francois Hennecart, Bernard Landreau
 The Mertens Conjecture Revisited
 Tadej Kotnik and And Herman te Riele
 Talk,
Errata: page 158, line 7, "by Theorem 1" should read: "by Theorem 2".
 Fast Bounds on the Distribution of Smooth Numbers
 Scott T. Parsell and Jonathan P. Sorenson
 Use of Extended Euclidean Algorithm in Solving a System of Linear Diophantine Equations with Bounded Variables
 Parthasarathy Ramachandran
 The Pseudosquares Prime Sieve
 Jonathan P. Sorenson
 DoublyFocused Enumeration of Pseudosquares and Pseudocubes
 Kjell Wooding and H. C. Williams
 Practical Lattice Basis Sampling Reduction
 Johannes Buchmann and Christoph Ludwig
 LLL on the average
 Phong Q. Nguyen and Damien Stehlé
 On the Randomness of Bits Produced by Sufficiently Regular Functions
 Damien Stehlé
 Computing a Lower Bound for the Canonical Height on Elliptic Curves over Q
 John Cremona and Samir Siksek
 Points of Low Height on Elliptic Curves and Surfaces I: Elliptic Surfaces over P^{1} with small d
 Noam D. Elkies
 Shimura Curves for Level3 Subgroups of the (2, 3, 7) Triangle Group and Some Other Examples
 Noam D. Elkies
 The Asymptotics of Points of Bounded Height on Diagonal Cubic and Quartic Threefolds
 AndreasStephan Elsenhans and Joerg Jahnel
 Talk,
CSource for hashing package,
CSource for solving x^{4} + 2 y^{4} = z^{4} + 4 w^{4}
 Testing Equivalence of Ternary Cubics
 Tom Fisher
 Classification of Genus 3 Curves in Special Strata of the Moduli Space
 Martine Girard, David Kohel
 Heegner point computations via numerical padic integration
 Matthew Greenberg
 Symmetric Powers of Elliptic Curve LFunctions
 Phil Martin and Mark Watkins
 Determined sequences, continued fractions, and hyperelliptic curves
 Alfred J. van der Poorten
 Computing CM Points on Shimura Curves Arising from Cocompact Arithmetic Triangle Groups
 John Voight
 Arithmetic of Generalized Jacobians
 Isabelle Dechene
 Hidden Pairings and Trapdoor DDH Groups
 Alexander W. Dent and Steven D. Galbraith
 Talk (PDF,
PPT)
 Constructing PairingFriendly Elliptic Curves with Embedding Degree 10
 David Freeman
 Fast bilinear maps from the TateLichtenbaum pairing on hyperelliptic curves
 Gerhard Frey and Tanja Lange
 High Security PairingBased Cryptography
Revisited
 R. Granger, D. Page, and N.P.
Smart
 Efficiently Computable Endomorphisms for Hyperelliptic Curves
 David R. Kohel, Benjamin A. Smith
 Finding Points on Elliptic Curves in Deterministic Polynomial Time
 Andrew Shallue and Christiaan van de Woestijne
 Implementation for odd characteristic: ellpoint.magma,
implementation.magma
 20 years of ECM
 Paul Zimmermann and Bruce Dodson
 Index Calculus with Double Large Prime Variation in Class Groups of Plane Curves of Small Degree
 Claus Diem
 The density of sums of three cubes
 JeanMarc DESHOUILLERS, François HENNECART, Bernard LANDREAU
 Hard Instances of Constrained Discrete Logarithm Problem
 Ilya Mironov, Anton Mityagin, Kobbi Nissim

Corrected Article,
Talk (PDF,
PPT)
 Spectral Analysis of Pollard Rho Collisions
 Stephen D. Miller and Ramarathnam Venkatesan
 Signature Calculus and Discrete Logarithm Problems
 MingDeh Huang and Wayne Raskind
Karim Belabas, Universite Bordeaux 1
Johannes
Buchmann, Universität Darmstadt
John Cannon, University of Sydney
Gerhard Frey, Universität DuisburgEssen
Istvan Gaal, University of Debrecen
Francois Morain, Ecole Polytechnique
Ken Nakamula, Tokyo Metropolitan University
Enric Nart, Universitat Autonoma de Barcelona
Takakazu Satoh, Tokyo Institute of Technology
Peter Stevenhagen, Universiteit Leiden
Fernando Villegas, University of Texas
Hugh Williams, University of Calgary
