7. ANTS 2006: Berlin, Germany

Invited Talks

• Nigel Boston, Harris Nover:
  Computing Pro-P Galois Groups. 1-10
  
• John Cremona:
  The Elliptic Curve Database for Conductors to 130000. 11-29
  
• Bas Edixhoven:
  On the Computation of the Coefficients of a Modular Form. 30-39
  
• Étienne Fouvry, Jürgen Klüners:
  Cohen-Lenstra Heuristics of Quadratic Number Fields. 40-55
  

Algebraic Number Theory

• Miho Aoki, Takashi Fukuda:
  An Algorithm for Computing p-Class Groups of Abelian Number Fields. 56-71
  
• Werner Bley, Robert Boltje:
  Computation of Locally Free Class Groups. 72-86
  
• Michael J. Jacobson Jr., Shantha Ramachandran, Hugh C. Williams:
  Numerical Results on Class Groups of Imaginary Quadratic Fields. 87-101
  
• Masanari Kida:
  Cyclic Polynomials Arising from Kummer Theory of Norm Algebraic Tori. 102-113
  
• Gunter Malle:
  The Totally Real Primitive Number Fields of Discriminant at Most 10⁹. 114-123
  
• Guénaël Renault, Kazuhiro Yokoyama:
  A Modular Method for Computing the Splitting Field of a Polynomial. 124-140
  

Analytic and Elementary Number Theory

• Jean-Marc Deshouillers, François Hennecart, Bernard Landreau:
  On the Density of Sums of Three Cubes. 141-155
  
• Tadej Kotnik, Herman te Riele:
  The Mertens Conjecture Revisited. 156-167
  
• Scott T. Parsell, Jonathan Sorenson:
  Fast Bounds on the Distribution of Smooth Numbers. 168-181
  
• Parthasarathy Ramachandran:
  Use of Extended Euclidean Algorithm in Solving a System of Linear Diophantine Equations with Bounded Variables. 182-192
  
• Jonathan Sorenson:
  The Pseudosquares Prime Sieve. 193-207
  
• Kjell Wooding, Hugh C. Williams:
  Doubly-Focused Enumeration of Pseudosquares and Pseudocubes. 208-221
  

Lattices

• Johannes Buchmann, Christoph Ludwig:
  Practical Lattice Basis Sampling Reduction. 222-237
  
• Phong Q. Nguyen, Damien Stehlé:
  LLL on the Average. 238-256
  
• Damien Stehlé:
  On the Randomness of Bits Generated by Sufficiently Smooth Functions. 257-274
  

Curves and Varieties over Fields of Characteristic Zero

• John Cremona, Samir Siksek:
  Computing a Lower Bound for the Canonical Height on Elliptic Curves over Q. 275-286
  
• Noam D. Elkies:
  Points of Low Height on Elliptic Curves and Surfaces I: Elliptic Surfaces over \mathbb P¹ with Small d. 287-301
  
• Noam D. Elkies:
  Shimura Curves for Level-3 Subgroups of the (2, 3, 7) Triangle Group, and Some Other Examples. 302-316
  
• Andreas-Stephan Elsenhans, Jörg Jahnel:
  The Asymptotics of Points of Bounded Height on Diagonal Cubic and Quartic Threefolds. 317-332
  
• Tom Fisher:
  Testing Equivalence of Ternary Cubics. 333-345
  
• Martine Girard, David R. Kohel:
  Classification of Genus 3 Curves in Special Strata of the Moduli Space. 346-360
  
• Matthew Greenberg:
  Heegner Point Computations Via Numerical p-Adic Integration. 361-376
  
• Phil Martin, Mark Watkins:
  Symmetric Powers of Elliptic Curve L-Functions. 377-392
  
• Alfred J. van der Poorten:
  Determined Sequences, Continued Fractions, and Hyperelliptic Curves. 393-405
  
• John Voight:
  Computing CM Points on Shimura Curves Arising from Cocompact Arithmetic Triangle Groups. 406-420
  

Curves over Finite Fields and Applications

• Isabelle Déchène:
  Arithmetic of Generalized Jacobians. 421-435
  
• Alexander W. Dent, Steven D. Galbraith:
  Hidden Pairings and Trapdoor DDH Groups. 436-451
  
• David Freeman:
  Constructing Pairing-Friendly Elliptic Curves with Embedding Degree 10. 452-465
  
• Gerhard Frey, Tanja Lange:
  Fast Bilinear Maps from the Tate-Lichtenbaum Pairing on Hyperelliptic Curves. 466-479
  
• Robert Granger, Dan Page, Nigel P. Smart:
  High Security Pairing-Based Cryptography Revisited. 480-494
  
• David R. Kohel, Benjamin A. Smith:
  Efficiently Computable Endomorphisms for Hyperelliptic Curves. 495-509
  
• Andrew Shallue, Christiaan van de Woestijne:
  Construction of Rational Points on Elliptic Curves over Finite Fields. 510-524
  
• Paul Zimmermann, Bruce Dodson:
  20 Years of ECM. 525-542
  

Discrete Logarithms

• Claus Diem:
  An Index Calculus Algorithm for Plane Curves of Small Degree. 543-557
  
• Ming-Deh A. Huang, Wayne Raskind:
  Signature Calculus and Discrete Logarithm Problems. 558-572
  
• Stephen D. Miller, Ramarathnam Venkatesan:
  Spectral Analysis of Pollard Rho Collisions. 573-581
  
• Ilya Mironov, Anton Mityagin, Kobbi Nissim:
  Hard Instances of the Constrained Discrete Logarithm Problem. 582-598