Abstract is missing.
- Gauss Composition and GeneralizationsManjul Bhargava. 1-8 [doi]
- Elliptic Curves - The Crossroads of Theory and ComputationJohn Coates. 9-19 [doi]
- The Weil and Tate Pairings as Building Blocks for Public Key CryptosystemsAntoine Joux. 20-32 [doi]
- Using Elliptic Curves of Rank One towards the Undecidability of Hilbert s Tenth Problem over Rings of Algebraic IntegersBjorn Poonen. 33-41 [doi]
- On p-adic Point Counting Algorithms for Elliptic Curves over Finite FieldsTakakazu Satoh. 43-66 [doi]
- On Arithmetically Equivalent Number Fields of Small DegreeWieb Bosma, Bart de Smit. 67-79 [doi]
- A Survey of Discriminant CountingHenri Cohen, Francisco Diaz y Diaz, Michel Olivier. 80-94 [doi]
- A Higher-Rank Mersenne ProblemGraham Everest, Peter Rogers, Thomas Ward. 95-107 [doi]
- An Application of Siegel Modular Functions to Kronecker s Limit FormulaTakashi Fukuda, Keiichi Komatsu. 108-119 [doi]
- Computational Aspects of NUCOMPMichael J. Jacobson Jr., Alfred J. van der Poorten. 120-133 [doi]
- Efficient Computation of Class Numbers of Real Abelian Number FieldsStéphane Louboutin. 134-147 [doi]
- An Accelerated Buchmann Algorithm for Regulator Computation in Real Quadratic FieldsUlrich Vollmer. 148-162 [doi]
- Some Genus 3 Curves with Many PointsRoland Auer, Jaap Top. 163-171 [doi]
- Trinomials ax and ax with Galois Groups of Order 168 and 8·168Nils Bruin, Noam D. Elkies. 172-188 [doi]
- Computations on Modular Jacobian SurfacesEnrique González-Jiménez, Josep González, Jordi Guàrdia. 189-197 [doi]
- Integral Points on Punctured Abelian SurfacesAndrew Kresch, Yuri Tschinkel. 198-204 [doi]
- Genus 2 Curves with (3, 3)-Split Jacobian and Large Automorphism GroupTony Shaska. 205-218 [doi]
- Transportable Modular Symbols and the Intersection PairingHelena A. Verrill. 219-233 [doi]
- Action of Modular Correspondences around CM PointsJean Marc Couveignes, Thierry Henocq. 234-243 [doi]
- Curves Dy=x-x of Odd Analytic RankNoam D. Elkies. 244-251 [doi]
- Comparing Invariants for Class Fields of Imaginary Quadratic FieldsAndreas Enge, François Morain. 252-266 [doi]
- A Database of Elliptic Curves - First ReportWilliam A. Stein, Mark Watkins. 267-275 [doi]
- Isogeny Volcanoes and the SEA AlgorithmMireille Fouquet, François Morain. 276-291 [doi]
- Fast Elliptic Curve Point Counting Using Gaussian Normal BasisHae Young Kim, Jung Youl Park, Jung Hee Cheon, Je Hong Park, Jae Heon Kim, Sang Geun Hahn. 292-307 [doi]
- An Extension of Kedlaya s Algorithm to Artin-Schreier Curves in Characteristic 2Jan Denef, Frederik Vercauteren. 308-323 [doi]
- Implementing the Tate PairingSteven D. Galbraith, Keith Harrison, David Soldera. 324-337 [doi]
- Smooth Orders and Cryptographic ApplicationsCarl Pomerance, Igor Shparlinski. 338-348 [doi]
- Chinese Remaindering for Algebraic Numbers in a Hidden FieldIgor Shparlinski, Ron Steinfeld. 349-356 [doi]
- An Algorithm for Computing Weierstrass PointsFlorian Hess. 357-371 [doi]
- New Optimal Tame Towers of Function Fields over Small Finite FieldsWen-Ching W. Li, Hiren Maharaj, Henning Stichtenoth, Noam D. Elkies. 372-389 [doi]
- Periodic Continued Fractions in Elliptic Function FieldsAlfred J. van der Poorten, Xuan Chuong Tran. 390-404 [doi]
- Fixed Points and Two-Cycles of the Discrete LogarithmJoshua Holden. 405-415 [doi]
- Random Cayley Digraphs and the Discrete LogarithmJeremy Horwitz, Ramarathnam Venkatesan. 416-430 [doi]
- The Function Field Sieve Is Quite SpecialAntoine Joux, Reynald Lercier. 431-445 [doi]
- MPQS with Three Large PrimesPaul C. Leyland, Arjen K. Lenstra, Bruce Dodson, Alec Muffett, Samuel S. Wagstaff Jr.. 446-460 [doi]
- An Improved Baby Step Giant Step Algorithm for Point Counting of Hyperelliptic Curves over Finite FieldsKazuto Matsuo, Jinhui Chao, Shigeo Tsujii. 461-474 [doi]
- Factoring N = pq with the Elliptic Curve MethodPeter Ebinger, Edlyn Teske. 475-490 [doi]
- A New Scheme for Computing with Algebraically Closed FieldsAllan K. Steel. 491-505 [doi]
- Additive Complexity and Roots of Polynomials over Number Fields and /mathfrak{p} -adic FieldsJ. Maurice Rojas. 506-516 [doi]