8. ANTS 2008: Banff, Canada

Alfred J. van der Poorten, Andreas Stein (Eds.): 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 BibTeX

Invited Papers

David Freeman, Peter Stevenhagen, Marco Streng:
Abelian Varieties with Prescribed Embedding Degree. 60-73
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Jorge Jiménez Urroz:
Almost Prime Orders of CM Elliptic Curves Modulo p. 74-87
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Katsuyuki Takashima:
Efficiently Computable Distortion Maps for Supersingular Curves. 88-101
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Koray Karabina, Edlyn Teske:
On Prime-Order Elliptic Curves with Embedding Degrees k = 3, 4, and 6. 102-117
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J. E. Cremona:
Computing in Component Groups of Elliptic Curves. 118-124
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Tom Fisher:
Some Improvements to 4-Descent on an Elliptic Curve. 125-138
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Thotsaphon Thongjunthug:
Computing a Lower Bound for the Canonical Height on Elliptic Curves over Totally Real Number Fields. 139-152
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Richard P. Brent, Pierrick Gaudry, Emmanuel Thomé, Paul Zimmermann:
Faster Multiplication in GF(2)[x]. 153-166
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Willemien Ekkelkamp:
Predicting the Sieving Effort for the Number Field Sieve. 167-179
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Peter L. Montgomery, Alexander Kruppa:
Improved Stage 2 to P±1 Factoring Algorithms. 180-195
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Noam D. Elkies:
Shimura Curve Computations Via K3 Surfaces of Néron-Severi Rank at Least 19. 196-211
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Andreas-Stephan Elsenhans, Jörg Jahnel:
K3 Surfaces of Picard Rank One and Degree Two. 212-225
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John W. Jones, David P. Roberts:
Number Fields Ramified at One Prime. 226-239
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Alar Leibak:
An Explicit Construction of Initial Perfect Quadratic Forms over Some Families of Totally Real Number Fields. 240-252
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Jonathan W. Sands, Brett A. Tangedal:
Functorial Properties of Stark Units in Multiquadratic Extensions. 253-267
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John Voight:
Enumeration of Totally Real Number Fields of Bounded Root Discriminant. 268-281
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Juliana Belding, Reinier Bröker, Andreas Enge, Kristin Lauter:
Computing Hilbert Class Polynomials. 282-295
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Wouter Castryck, Hendrik Hubrechts, Frederik Vercauteren:
Computing Zeta Functions in Families of Ca, b. 296-311
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Kiran S. Kedlaya, Andrew V. Sutherland:
Computing L-Series of Hyperelliptic Curves. 312-326
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Remke Kloosterman:
Point Counting on Singular Hypersurfaces. 327-341
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Steven D. Galbraith, Michael Harrison, David J. Mireles Morales:
Efficient Hyperelliptic Arithmetic Using Balanced Representation for Divisors. 342-356
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Pieter Rozenhart, Renate Scheidler:
Tabulation of Cubic Function Fields with Imaginary and Unusual Hessian. 357-370
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Lassina Dembélé, Steve Donnelly:
Computing Hilbert Modular Forms over Fields with Nontrivial Class Group. 371-386
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Paul E. Gunnells, Dan Yasaki:
Hecke Operators and Hilbert Modular Forms. 387-401
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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
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Andrew Shallue:
An Improved Multi-set Algorithm for the Dense Subset Sum Problem. 416-429
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Edray Goins, Florian Luca, Alain Togbé:
On the Diophantine Equation x²+2^alpha5^beta13^gamma=yⁿ. 430-442
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Sami Omar:
Non-vanishing of Dirichlet L-functions at the Central Point. 443-453
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