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4th ANTS 2000: Leiden, The Netherlands
- Wieb Bosma:
Algorithmic Number Theory, 4th International Symposium, ANTS-IV, Leiden, The Netherlands, July 2-7, 2000, Proceedings. Lecture Notes in Computer Science 1838, Springer 2000, ISBN 3-540-67695-3
Invited Talks
- Jin-yi Cai:
The Complexity of Some Lattice Problems. 1-32 - Noam D. Elkies:
Rational Points Near Curves and Small Nonzero |x3-y2| via Lattice Reduction. 33-64 - E. Victor Flynn:
Coverings of Curves of Genus 2. 65-84 - Phong Q. Nguyen, Jacques Stern:
Lattice Reduction in Cryptology: An Update. 85-112
Contributed Papers
- Seigo Arita:
Construction of Secure CabCurves Using Modular Curves. 113-126 - Roland Auer:
Curves over Finite Fields with Many Rational Points Obtained by Ray Class Field Extensions. 127-134 - Werner Backes, Susanne Wetzel:
New Results on Lattice Basis Reduction in Practice. 135-152 - Simon R. Blackburn, Edlyn Teske:
Baby-Step Giant-Step Algorithms for Non-uniform Distributions. 153-168 - Nils Bruin:
On Powers as Sums of Two Cubes. 169-184 - David G. Cantor, Daniel M. Gordon:
Factoring Polynominals over p-Adic Fields. 185-208 - Stefania Cavallar:
Strategies in Filtering in the Number Field Sieve. 209-232 - Qi Cheng
, Ming-Deh A. Huang:
Factoring Polynominals over Finite Fields and Stable Colorings of Tournaments. 233-246 - Gautam Chinta, Paul E. Gunnells, Robert Sczech:
Computing Special Values of Partial Zeta Functions. 247-256 - Henri Cohen, Francisco Diaz y Diaz, Michel Olivier:
Construction of Tables of Quartic Number Fields. 257-268 - Henri Cohen, Francisco Diaz y Diaz, Michel Olivier:
Counting Discriminants of Number Fields of Degree up to Four. 269-284 - Claus Fieker, Carsten Friedrichs:
On Reconstruction of Algebraic Numbers. 285-296 - William F. Galway:
Dissecting a Sieve to Cut Its Need for Space. 297-312 - Pierrick Gaudry, Robert Harley:
Counting Points on Hyperelliptic Curves over Finite Fields. 313-332 - Bert van Geemen, Jaap Top:
Modular Forms for GL(3) and Galois Representations. 333-346 - Paul E. Gunnells:
Modular Symbols and Hecke Operators. 347-358 - Ryuichi Harasawa, Joe Suzuki:
Fast Jacobian Group Arithmetic on CabCurves. 359-376 - Ming-Deh A. Huang, Ka Lam Kueh, Ki-Seng Tan:
Lifting Elliptic Curves and Solving the Elliptic Curve Discrete Logarithm Problem. 377-384 - Antoine Joux:
A One Round Protocol for Tripartite Diffie-Hellman. 385-394 - David R. Kohel, Igor E. Shparlinski
:
On Exponential Sums and Group Generators for Elliptic Curves over Finite Fields. 395-404 - David R. Kohel, William A. Stein:
Component Groups of Quotients of J0(N). 405-412 - Stéphane Louboutin:
Fast Computation of Relative Class Numbers of CM-Fields. 413-422 - Siguna Müller:
On Probable Prime Testing and the Computation of Square Roots mod n. 423-438 - Koh-ichi Nagao:
Improving Group Law Algorithms for Jacobians of Hyperelliptic Curves. 439-448 - Sami Omar
:
Central Values of Artin L-Functions for Quaternion Fields. 449-458 - Richard G. E. Pinch:
The Pseudoprimes up to 1013. 459-474 - Jörg Richstein:
Computing the Number of Goldbach Partitions up to 5·108. 475-490 - Xavier-François Roblot, Brett A. Tangedal:
Numerical Verification of the Brumer-Stark Conjecture. 491-504 - Fernando Rodriguez-Villegas:
Explicit Models of Genus 2 Curves with Split CM. 505-514 - Renate Scheidler:
Reduction in Purely Cubic Function Fields of Unit Rank One. 515-532 - Derek Smith:
Factorization in the Composition Algebras. 533-538 - Jonathan Sorenson
:
A Fast Algorithm for Appoximately Counting Smooth Numbers. 539-550 - Roel J. Stroeker, Nikolaus Tzanakis:
Computing All Integer Solutions of a General Elliptic Equation. 551-562 - Edlyn Teske, Hugh C. Williams:
A Note on Shanks's Chains of Primes. 563-580 - Ulrich Vollmer:
Asymptotically Fast Discrete Logarithms in Quadratic Number Fields. 581-594 - André Weilert:
Asymptotically Fast GCD Computation in Z[i]. 595-613
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