Algorithmic Number Theory

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

Auer, Roland

Pages 127-134

New Results on Lattice Basis Reduction in Practice

Backes, Werner (et al.)

Pages 135-152

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

Blackburn, Simon R. (et al.)

Pages 153-168

On Powers as Sums of Two Cubes

Bruin, Nils

Pages 169-184

Factoring Polynomials over ρ-Adic Fields

Cantor, David G. (et al.)

Pages 185-208

Strategies in Filtering in the Number Field Sieve

Cavallar, Stefania

Pages 209-231

Factoring Polynomials over Finite Fields and Stable Colorings of Tournaments

Cheng, Qi (et al.)

Pages 233-245

Computing Special Values of Partial Zeta Functions

Chinta, Gautam (et al.)

Pages 247-256

Construction of Tables of Quartic Number Fields

Cohen, Henri (et al.)

Pages 257-268

Counting Discriminants of Number Fields of Degree up to Four

Cohen, Henri (et al.)

Pages 269-283

On Reconstruction of Algebraic Numbers

Fieker, Claus (et al.)

Pages 285-296

Dissecting a Sieve to Cut Its Need for Space

Galway, William F.

Pages 297-312

Counting Points on Hyperelliptic Curves over Finite Fields

Gaudry, Pierrick (et al.)

Pages 313-332

Modular Forms for GL(3) and Galois Representations

Geemen, Bert (et al.)

Pages 333-346

Modular Symbols and Hecke Operators

Gunnells, Paul E.

Pages 347-357

Fast Jacobian Group Arithmetic on C ab Curves

Harasawa, Ryuichi (et al.)

Pages 359-376

Lifting Elliptic Curves and Solving the Elliptic Curve Discrete Logarithm Problem

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

Pages 377-384

A One Round Protocol for Tripartite Diffie–Hellman

Joux, Antoine

Pages 385-393

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

Kohel, David R. (et al.)

Pages 395-404

Component Groups of Quotients of J 0(N)

Kohel, David R. (et al.)

Pages 405-412

Fast Computation of Relative Class Numbers of CM-Fields

Louboutin, Stéphane

Pages 413-422

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

Müller, Siguna

Pages 423-437

Improving Group Law Algorithms for Jacobians of Hyperelliptic Curves

Nagao, Koh-ichi

Pages 439-447

Central Values of Artin L-Functions for Quaternion Fields

Omar, Sami

Pages 449-458

The Pseudoprimes up to 1013

Pinch, Richard G. E.

Pages 459-473

Computing the Number of Goldbach Partitions up to 5 108

Richstein, Jörg

Pages 475-490

Numerical Verification of the Brumer-Stark Conjecture

Roblot, Xavier-François (et al.)

Pages 491-503

Explicit Models of Genus 2 Curves with Split CM

Rodriguez-Villegas, Fernando

Pages 505-513

Reduction in Purely Cubic Function Fields of Unit Rank One

Scheidler, Renate

Pages 515-532

Factorization in the Composition Algebras

Smith, Derek A.

Pages 533-537

A Fast Algorithm for Approximately Counting Smooth Numbers

Sorenson, Jonathan P.

Pages 539-549

Computing All Integer Solutions of a General Elliptic Equation

Stroeker, Roel J. (et al.)

Pages 551-561

A Note on Shanks’s Chains of Primes

Teske, Edlyn (et al.)

Pages 563-580

Asymptotically Fast Discrete Logarithms in Quadratic Number Fields

Vollmer, Ulrich

Pages 581-594

Asymptotically Fast GCD Computation in ℤ[i]

Weilert, André

Pages 595-613