Algorithmic Number Theory

Curves over Finite Fields with Many Rational Points Obtained by Ray Class Field Extensions

Pages 127-134

Auer, Roland

New Results on Lattice Basis Reduction in Practice

Pages 135-152

Backes, Werner (et al.)

Baby-Step Giant-Step Algorithms for Non-uniform Distributions

Pages 153-168

Blackburn, Simon R. (et al.)

On Powers as Sums of Two Cubes

Pages 169-184

Bruin, Nils

Factoring Polynomials over ρ-Adic Fields

Pages 185-208

Cantor, David G. (et al.)

Strategies in Filtering in the Number Field Sieve

Pages 209-231

Cavallar, Stefania

Factoring Polynomials over Finite Fields and Stable Colorings of Tournaments

Pages 233-245

Cheng, Qi (et al.)

Computing Special Values of Partial Zeta Functions

Pages 247-256

Chinta, Gautam (et al.)

Construction of Tables of Quartic Number Fields

Pages 257-268

Cohen, Henri (et al.)

Counting Discriminants of Number Fields of Degree up to Four

Pages 269-283

Cohen, Henri (et al.)

On Reconstruction of Algebraic Numbers

Pages 285-296

Fieker, Claus (et al.)

Dissecting a Sieve to Cut Its Need for Space

Pages 297-312

Galway, William F.

Counting Points on Hyperelliptic Curves over Finite Fields

Pages 313-332

Gaudry, Pierrick (et al.)

Modular Forms for GL(3) and Galois Representations

Pages 333-346

Geemen, Bert (et al.)

Modular Symbols and Hecke Operators

Pages 347-357

Gunnells, Paul E.

Fast Jacobian Group Arithmetic on C ab Curves

Pages 359-376

Harasawa, Ryuichi (et al.)

Lifting Elliptic Curves and Solving the Elliptic Curve Discrete Logarithm Problem

Pages 377-384

Huang, Ming-Deh A. (et al.)

A One Round Protocol for Tripartite Diffie–Hellman

Pages 385-393

Joux, Antoine

On Exponential Sums and Group Generators for Elliptic Curves over Finite Fields

Pages 395-404

Kohel, David R. (et al.)

Component Groups of Quotients of J 0(N)

Pages 405-412

Kohel, David R. (et al.)

Fast Computation of Relative Class Numbers of CM-Fields

Pages 413-422

Louboutin, Stéphane

On Probable Prime Testing and the Computation of Square Roots mod n

Pages 423-437

Müller, Siguna

Improving Group Law Algorithms for Jacobians of Hyperelliptic Curves

Pages 439-447

Nagao, Koh-ichi

Central Values of Artin L-Functions for Quaternion Fields

Pages 449-458

Omar, Sami

The Pseudoprimes up to 1013

Pages 459-473

Pinch, Richard G. E.

Computing the Number of Goldbach Partitions up to 5 108

Pages 475-490

Richstein, Jörg

Numerical Verification of the Brumer-Stark Conjecture

Pages 491-503

Roblot, Xavier-François (et al.)

Explicit Models of Genus 2 Curves with Split CM

Pages 505-513

Rodriguez-Villegas, Fernando

Reduction in Purely Cubic Function Fields of Unit Rank One

Pages 515-532

Scheidler, Renate

Factorization in the Composition Algebras

Pages 533-537

Smith, Derek A.

A Fast Algorithm for Approximately Counting Smooth Numbers

Pages 539-549

Sorenson, Jonathan P.

Computing All Integer Solutions of a General Elliptic Equation

Pages 551-561

Stroeker, Roel J. (et al.)

A Note on Shanks’s Chains of Primes

Pages 563-580

Teske, Edlyn (et al.)

Asymptotically Fast Discrete Logarithms in Quadratic Number Fields

Pages 581-594

Vollmer, Ulrich

Asymptotically Fast GCD Computation in ℤ[i]

Pages 595-613

Weilert, André