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| Invited Papers | |
| Running Time Predictions for Factoring Algorithms | p. 1 |
| A New Look at an Old Equation | p. 37 |
| Elliptic Curves Cryptology and Generalizations | |
| Abelian Varieties with Prescribed Embedding Degree | p. 60 |
| Almost Prime Orders of CM Elliptic Curves Modulo p | p. 74 |
| Efficiently Computable Distortion Maps for Supersingular Curves | p. 88 |
| On Prime-Order Elliptic Curves with Embedding Degrees k = 3, 4, and 6 | p. 102 |
| Arithmetic of Elliptic Curves | |
| Computing in Component Groups of Elliptic Curves | p. 118 |
| Some Improvements to 4-Descent on an Elliptic Curve | p. 125 |
| Computing a Lower Bound for the Canonical Height on Elliptic Curves over Totally Real Number Fields | p. 139 |
| Faster Multiplication in GF(2)[x] | p. 153 |
| Integer Factorization | |
| Predicting the Sieving Effort for the Number Field Sieve | p. 167 |
| Improved Stage 2 to P 1 1 Factoring Algorithms | p. 180 |
| K3 Surfaces | |
| Shimura Curve Computations Via K3 Surfaces of Nerou-Severi Rank at Least 19 | p. 196 |
| K3 Surfaces of Picard Rank One and Degree Two | p. 212 |
| Number Fields | |
| Number Fields Ramified at One Prime | p. 226 |
| An Explicit Construction of Initial Perfect Quadratic Forms over Some Families of Totally Real Number Fields | p. 240 |
| Functorial Properties of Stark Units in Multiquadratic Extensions | p. 253 |
| Enumeration of Totally Real Number Fields of Bounded Root Discriminant | p. 268 |
| Point Counting | |
| Computing Hilbert Class Polynomials | p. 282 |
| Computing Zeta Functions in Families of C[subscript a, b] Curves Using Deformation | p. 296 |
| Computing L-Series of Hyperelliptic Curves | p. 312 |
| Point Counting on Singular Hypersurfaces | p. 327 |
| Arithmetic of Function Fields | |
| Efficient Hyperelliptic Arithmetic Using Balanced Representation for Divisors | p. 342 |
| Tabulation of Cubic Function Fields with Imaginary and Unusual Hessian | p. 357 |
| Modular Forms | |
| Computing Hilbert Modular Forms over Fields with Nontrivial Class Group | p. 371 |
| Hecke Operators and Hilbert Modular Forms | p. 387 |
| Cryptography | |
| A Birthday Paradox for Markov Chains, with an Optimal Bound for Collision in the Pollard Rho Algorithm for Discrete Logarithm | p. 402 |
| An Improved Multi-set Algorithm for the Dense Subset Sum Problem | p. 416 |
| Number Theory | |
| On the Diophantine Equation x[superscript 2] + 2[superscript [alpha]]5[superscript [Beta]]13[superscript [gamma]] = y[superscript [eta]] | p. 430 |
| Non-vanishing of Dirichlet L-functions at the Central Point | p. 443 |
| Author Index | p. 455 |
| Table of Contents provided by Blackwell. All Rights Reserved. |
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