5. ANTS 2002: Sydney, NSW, Australia

@proceedings{DBLP:conf/ants/2002,
  editor    = {Claus Fieker and
               David R. Kohel},
  title     = {Algorithmic Number Theory, 5th International Symposium, ANTS-V,
               Sydney, Australia, July 7-12, 2002, Proceedings},
  booktitle = {ANTS},
  publisher = {Springer},
  series    = {Lecture Notes in Computer Science},
  volume    = {2369},
  year      = {2002},
  isbn      = {3-540-43863-7},
  bibsource = {DBLP, http://dblp.uni-trier.de}
}

Invited Talks

• Manjul Bhargava:
  Gauss Composition and Generalizations. 1-8
  
• John Coates:
  Elliptic Curves - The Crossroads of Theory and Computation. 9-19
  
• Antoine Joux:
  The Weil and Tate Pairings as Building Blocks for Public Key Cryptosystems. 20-32
  
• Bjorn Poonen:
  Using Elliptic Curves of Rank One towards the Undecidability of Hilbert's Tenth Problem over Rings of Algebraic Integers. 33-41
  
• Takakazu Satoh:
  On p-adic Point Counting Algorithms for Elliptic Curves over Finite Fields. 43-66
  

Number Theory

• Wieb Bosma, Bart de Smit:
  On Arithmetically Equivalent Number Fields of Small Degree. 67-79
  
• Henri Cohen, Francisco Diaz y Diaz, Michel Olivier:
  A Survey of Discriminant Counting. 80-94
  
• Graham Everest, Peter Rogers, Thomas Ward:
  A Higher-Rank Mersenne Problem. 95-107
  
• Takashi Fukuda, Keiichi Komatsu:
  An Application of Siegel Modular Functions to Kronecker's Limit Formula. 108-119
  
• Michael J. Jacobson Jr., Alfred J. van der Poorten:
  Computational Aspects of NUCOMP. 120-133
  
• Stéphane Louboutin:
  Efficient Computation of Class Numbers of Real Abelian Number Fields. 134-147
  
• Ulrich Vollmer:
  An Accelerated Buchmann Algorithm for Regulator Computation in Real Quadratic Fields. 148-162
  

Arithmetic Geometry

• Roland Auer, Jaap Top:
  Some Genus 3 Curves with Many Points. 163-171
  
• Nils Bruin, Noam D. Elkies:
  Trinomials ax and ax with Galois Groups of Order 168 and 8·168. 172-188
  
• Enrique González-Jiménez, Josep González, Jordi Guàrdia:
  Computations on Modular Jacobian Surfaces. 189-197
  
• Andrew Kresch, Yuri Tschinkel:
  Integral Points on Punctured Abelian Surfaces. 198-204
  
• Tony Shaska:
  Genus 2 Curves with (3, 3)-Split Jacobian and Large Automorphism Group. 205-218
  
• Helena A. Verrill:
  Transportable Modular Symbols and the Intersection Pairing. 219-233
  

Elliptic Curves and CM

• Jean Marc Couveignes, Thierry Henocq:
  Action of Modular Correspondences around CM Points. 234-243
  
• Noam D. Elkies:
  Curves Dy=x-x of Odd Analytic Rank. 244-251
  
• Andreas Enge, François Morain:
  Comparing Invariants for Class Fields of Imaginary Quadratic Fields. 252-266
  
• William A. Stein, Mark Watkins:
  A Database of Elliptic Curves - First Report. 267-275
  

Point Counting

• Mireille Fouquet, François Morain:
  Isogeny Volcanoes and the SEA Algorithm. 276-291
  
• Hae Young Kim, Jung Youl Park, Jung Hee Cheon, Je Hong Park, Jae Heon Kim, Sang Geun Hahn:
  Fast Elliptic Curve Point Counting Using Gaussian Normal Basis. 292-307
  
• Jan Denef, Frederik Vercauteren:
  An Extension of Kedlaya's Algorithm to Artin-Schreier Curves in Characteristic 2. 308-323
  

Cryptography

• Steven D. Galbraith, Keith Harrison, David Soldera:
  Implementing the Tate Pairing. 324-337
  
• Carl Pomerance, Igor Shparlinski:
  Smooth Orders and Cryptographic Applications. 338-348
  
• Igor Shparlinski, Ron Steinfeld:
  Chinese Remaindering for Algebraic Numbers in a Hidden Field. 349-356
  

Function Fields

• Florian Hess:
  An Algorithm for Computing Weierstrass Points. 357-371
  
• Wen-Ching W. Li, Hiren Maharaj, Henning Stichtenoth, Noam D. Elkies:
  New Optimal Tame Towers of Function Fields over Small Finite Fields. 372-389
  
• Alfred J. van der Poorten, Xuan Chuong Tran:
  Periodic Continued Fractions in Elliptic Function Fields. 390-404
  

Discrete Logarithms and Factoring

• Joshua Holden:
  Fixed Points and Two-Cycles of the Discrete Logarithm. 405-415
  
• Jeremy Horwitz, Ramarathnam Venkatesan:
  Random Cayley Digraphs and the Discrete Logarithm. 416-430
  
• Antoine Joux, Reynald Lercier:
  The Function Field Sieve Is Quite Special. 431-445
  
• Paul C. Leyland, Arjen K. Lenstra, Bruce Dodson, Alec Muffett, Samuel S. Wagstaff Jr.:
  MPQS with Three Large Primes. 446-460
  
• Kazuto Matsuo, Jinhui Chao, Shigeo Tsujii:
  An Improved Baby Step Giant Step Algorithm for Point Counting of Hyperelliptic Curves over Finite Fields. 461-474
  
• Peter Ebinger, Edlyn Teske:
  Factoring N = pq with the Elliptic Curve Method. 475-490
  

Gröbner Bases

• Allan K. Steel:
  A New Scheme for Computing with Algebraically Closed Fields. 491-505
  

Complexity

• J. Maurice Rojas:
  Additive Complexity and Roots of Polynomials over Number Fields and \mathfrak{p} -adic Fields. 506-516