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8th ANTS 2008: Banff, Canada
- Alfred J. van der Poorten, Andreas Stein:
Algorithmic Number Theory, 8th International Symposium, ANTS-VIII, Banff, Canada, May 17-22, 2008, Proceedings. Lecture Notes in Computer Science 5011, Springer 2008, ISBN 978-3-540-79455-4
Invited Papers
- Ernie Croot, Andrew Granville
, Robin Pemantle, Prasad Tetali:
Running Time Predictions for Factoring Algorithms. 1-36 - Reginald E. Sawilla, Alan K. Silvester, Hugh C. Williams:
A New Look at an Old Equation. 37-59
Elliptic Curves Cryptology and Generalizations
- David Freeman, Peter Stevenhagen, Marco Streng
Abelian Varieties with Prescribed Embedding Degree. 60-73 - Jorge Jiménez Urroz
Almost Prime Orders of CM Elliptic Curves Modulo p. 74-87 - Katsuyuki Takashima:
Efficiently Computable Distortion Maps for Supersingular Curves. 88-101 - Koray Karabina, Edlyn Teske:
On Prime-Order Elliptic Curves with Embedding Degrees k = 3, 4, and 6. 102-117
Arithmetic of Elliptic Curves
- J. E. Cremona
Computing in Component Groups of Elliptic Curves. 118-124 - Tom Fisher:
Some Improvements to 4-Descent on an Elliptic Curve. 125-138 - Thotsaphon Thongjunthug
Computing a Lower Bound for the Canonical Height on Elliptic Curves over Totally Real Number Fields. 139-152 - Richard P. Brent
Faster Multiplication in GF(2)[x]. 153-166
Integer Factorization
- Willemien Ekkelkamp:
Predicting the Sieving Effort for the Number Field Sieve. 167-179 - Peter L. Montgomery, Alexander Kruppa:
Improved Stage 2 to P±1 Factoring Algorithms. 180-195
K3 Surfaces
- Noam D. Elkies:
Shimura Curve Computations Via K3 Surfaces of Néron-Severi Rank at Least 19. 196-211 - Andreas-Stephan Elsenhans, Jörg Jahnel:
K3 Surfaces of Picard Rank One and Degree Two. 212-225
Number Fields
- John W. Jones, David P. Roberts:
Number Fields Ramified at One Prime. 226-239 - Alar Leibak:
An Explicit Construction of Initial Perfect Quadratic Forms over Some Families of Totally Real Number Fields. 240-252 - Jonathan W. Sands, Brett A. Tangedal:
Functorial Properties of Stark Units in Multiquadratic Extensions. 253-267 - John Voight
Enumeration of Totally Real Number Fields of Bounded Root Discriminant. 268-281
Point Counting
- Juliana Belding, Reinier Bröker, Andreas Enge, Kristin E. Lauter:
Computing Hilbert Class Polynomials. 282-295 - Wouter Castryck
Computing Zeta Functions in Families of Ca, b. 296-311 - Kiran S. Kedlaya
Computing L-Series of Hyperelliptic Curves. 312-326 - Remke Kloosterman
Point Counting on Singular Hypersurfaces. 327-341
Arithmetic of Function Fields
- Steven D. Galbraith
Efficient Hyperelliptic Arithmetic Using Balanced Representation for Divisors. 342-356 - Pieter Rozenhart, Renate Scheidler
Tabulation of Cubic Function Fields with Imaginary and Unusual Hessian. 357-370
Modular Forms
- Lassina Dembélé
Computing Hilbert Modular Forms over Fields with Nontrivial Class Group. 371-386 - Paul E. Gunnells
Hecke Operators and Hilbert Modular Forms. 387-401
Cryptography
- Jeong Han Kim, Ravi Montenegro, Yuval Peres, Prasad Tetali:
A Birthday Paradox for Markov Chains, with an Optimal Bound for Collision in the Pollard Rho Algorithm for Discrete Logarithm. 402-415 - Andrew Shallue:
An Improved Multi-set Algorithm for the Dense Subset Sum Problem. 416-429
Number Theory
- Edray Goins, Florian Luca, Alain Togbé:
On the Diophantine Equation x2+2alpha5beta13gamma=yn. 430-442 - Sami Omar
Non-vanishing of Dirichlet L-functions at the Central Point. 443-453
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