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 BibTeX

Invited Talks

Nigel Boston, Harris Nover:
Computing Pro-P Galois Groups. 1-10
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John Cremona:
The Elliptic Curve Database for Conductors to 130000. 11-29
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Bas Edixhoven:
On the Computation of the Coefficients of a Modular Form. 30-39
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Étienne Fouvry, Jürgen Klüners:
Cohen-Lenstra Heuristics of Quadratic Number Fields. 40-55
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Miho Aoki, Takashi Fukuda:
An Algorithm for Computing p-Class Groups of Abelian Number Fields. 56-71
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Werner Bley, Robert Boltje:
Computation of Locally Free Class Groups. 72-86
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Michael J. Jacobson Jr., Shantha Ramachandran, Hugh C. Williams:
Numerical Results on Class Groups of Imaginary Quadratic Fields. 87-101
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Masanari Kida:
Cyclic Polynomials Arising from Kummer Theory of Norm Algebraic Tori. 102-113
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Gunter Malle:
The Totally Real Primitive Number Fields of Discriminant at Most 10⁹. 114-123
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Guénaël Renault, Kazuhiro Yokoyama:
A Modular Method for Computing the Splitting Field of a Polynomial. 124-140
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Jean-Marc Deshouillers, François Hennecart, Bernard Landreau:
On the Density of Sums of Three Cubes. 141-155
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Tadej Kotnik, Herman te Riele:
The Mertens Conjecture Revisited. 156-167
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Scott T. Parsell, Jonathan Sorenson:
Fast Bounds on the Distribution of Smooth Numbers. 168-181
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Parthasarathy Ramachandran:
Use of Extended Euclidean Algorithm in Solving a System of Linear Diophantine Equations with Bounded Variables. 182-192
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Jonathan Sorenson:
The Pseudosquares Prime Sieve. 193-207
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Kjell Wooding, Hugh C. Williams:
Doubly-Focused Enumeration of Pseudosquares and Pseudocubes. 208-221
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Johannes Buchmann, Christoph Ludwig:
Practical Lattice Basis Sampling Reduction. 222-237
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Phong Q. Nguyen, Damien Stehlé:
LLL on the Average. 238-256
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Damien Stehlé:
On the Randomness of Bits Generated by Sufficiently Smooth Functions. 257-274
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John Cremona, Samir Siksek:
Computing a Lower Bound for the Canonical Height on Elliptic Curves over Q. 275-286
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Noam D. Elkies:
Points of Low Height on Elliptic Curves and Surfaces I: Elliptic Surfaces over \mathbb P¹ with Small d. 287-301
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Noam D. Elkies:
Shimura Curves for Level-3 Subgroups of the (2, 3, 7) Triangle Group, and Some Other Examples. 302-316
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Andreas-Stephan Elsenhans, Jörg Jahnel:
The Asymptotics of Points of Bounded Height on Diagonal Cubic and Quartic Threefolds. 317-332
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Tom Fisher:
Testing Equivalence of Ternary Cubics. 333-345
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Martine Girard, David R. Kohel:
Classification of Genus 3 Curves in Special Strata of the Moduli Space. 346-360
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Matthew Greenberg:
Heegner Point Computations Via Numerical p-Adic Integration. 361-376
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Phil Martin, Mark Watkins:
Symmetric Powers of Elliptic Curve L-Functions. 377-392
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Alfred J. van der Poorten:
Determined Sequences, Continued Fractions, and Hyperelliptic Curves. 393-405
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John Voight:
Computing CM Points on Shimura Curves Arising from Cocompact Arithmetic Triangle Groups. 406-420
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Isabelle Déchène:
Arithmetic of Generalized Jacobians. 421-435
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Alexander W. Dent, Steven D. Galbraith:
Hidden Pairings and Trapdoor DDH Groups. 436-451
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David Freeman:
Constructing Pairing-Friendly Elliptic Curves with Embedding Degree 10. 452-465
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Gerhard Frey, Tanja Lange:
Fast Bilinear Maps from the Tate-Lichtenbaum Pairing on Hyperelliptic Curves. 466-479
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Robert Granger, Dan Page, Nigel P. Smart:
High Security Pairing-Based Cryptography Revisited. 480-494
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David R. Kohel, Benjamin A. Smith:
Efficiently Computable Endomorphisms for Hyperelliptic Curves. 495-509
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Andrew Shallue, Christiaan van de Woestijne:
Construction of Rational Points on Elliptic Curves over Finite Fields. 510-524
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Paul Zimmermann, Bruce Dodson:
20 Years of ECM. 525-542
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Claus Diem:
An Index Calculus Algorithm for Plane Curves of Small Degree. 543-557
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Ming-Deh A. Huang, Wayne Raskind:
Signature Calculus and Discrete Logarithm Problems. 558-572
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Stephen D. Miller, Ramarathnam Venkatesan:
Spectral Analysis of Pollard Rho Collisions. 573-581
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Ilya Mironov, Anton Mityagin, Kobbi Nissim:
Hard Instances of the Constrained Discrete Logarithm Problem. 582-598
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