7. ANTS 2006:
Berlin, Germany
Florian Hess, Sebastian Pauli, Michael E. Pohst (Eds.):
Algorithmic Number Theory, 7th International Symposium, ANTS-VII, Berlin, Germany, July 23-28, 2006, Proceedings.
Lecture Notes in Computer Science 4076 Springer 2006, ISBN 3-540-36075-1
Invited Talks
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
Algebraic Number Theory
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
Analytic and Elementary Number Theory
Parthasarathy Ramachandran:
Use of Extended Euclidean Algorithm in Solving a System of Linear Diophantine Equations with Bounded Variables.
182-192
Lattices
Damien Stehlé:
On the Randomness of Bits Generated by Sufficiently Smooth Functions.
257-274
Curves and Varieties over Fields of Characteristic Zero
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
Tom Fisher:
Testing Equivalence of Ternary Cubics.
333-345
Matthew Greenberg:
Heegner Point Computations Via Numerical p-Adic Integration.
361-376
John Voight:
Computing CM Points on Shimura Curves Arising from Cocompact Arithmetic Triangle Groups.
406-420
Curves over Finite Fields and Applications
David Freeman:
Constructing Pairing-Friendly Elliptic Curves with Embedding Degree 10.
452-465
Discrete Logarithms
Claus Diem:
An Index Calculus Algorithm for Plane Curves of Small Degree.
543-557