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Running time predictions for factoring algorithms
Ernie Croot, Andrew Granville, Robin Pemantle, Prasad Tetali
Lecture Notes in Computer Science 5011, 2008, pp. 1-36
A new look at an old equation
R.E. Sawilla, A.K. Silvester, H.C. Williams
Lecture Notes in Computer Science 5011, 2008, pp. 37-59
Abelian varieties with prescribed embedding degree
David Freeman, Peter Stevenhagen, Marco Streng
Lecture Notes in Computer Science 5011, 2008, pp. 60-73
Almost prime orders of CM elliptic curves modulo p
Jorge Jiménez Urroz
Lecture Notes in Computer Science 5011, 2008, pp. 74-87
Efficiently computable distortion maps for supersingular curves
Katsuyuki Takashima
Lecture Notes in Computer Science 5011, 2008, pp. 88-101
On prime-order elliptic curves with embedding degrees k=3, 4, and 6
Koray Karabina, Edlyn Teske
Lecture Notes in Computer Science 5011, 2008, pp. 102-117
Computing in component groups of elliptic curves
J.E. Cremona
Lecture Notes in Computer Science 5011, 2008, pp. 118-124
Some improvements to 4-descent on an elliptic curve
Tom Fisher
Lecture Notes in Computer Science 5011, 2008, pp. 125-138
Computing a lower bound for the canonical height on elliptic curves over totally real number fields
Thotsaphon Thongjunthug
Lecture Notes in Computer Science 5011, 2008, pp. 139-152
Faster multiplication in GF(2)[x]
Richard P. Brent, Pierrick Gaudry, Emmanuel Thomé, Paul Zimmermann
Lecture Notes in Computer Science 5011, 2008, pp. 153-166
Predicting the sieving effort for the number field sieve
Willemien Ekkelkamp
Lecture Notes in Computer Science 5011, 2008, pp. 167-179
Improved stage 2 to P\pm1 factoring algorithms
Peter L. Montgomery, Alexander Kruppa
Lecture Notes in Computer Science 5011, 2008, pp. 180-195
Shimura curve computations via K3 surfaces of Néron-Severi rank at least 19
Noam D. Elkies
Lecture Notes in Computer Science 5011, 2008, pp. 196-211
K3 surfaces of Picard rank one and degree two
Andreas-Stephan Elsenhans, Jörg Jahnel
Lecture Notes in Computer Science 5011, 2008, pp. 212-225
Number fields ramified at one prime
John W. Jones, David P. Roberts
Lecture Notes in Computer Science 5011, 2008, pp. 226-239
An explicit construction of initial perfect quadratic forms over some families of totally real number fields
Alar Leibak
Lecture Notes in Computer Science 5011, 2008, pp. 240-252
Functorial properties of Stark units in multiquadratic extensions
Jonathan W. Sands, Brett A. Tangedal
Lecture Notes in Computer Science 5011, 2008, pp. 253-267
Enumeration of totally real number fields of bounded root discriminant
John Voight
Lecture Notes in Computer Science 5011, 2008, pp. 268-281
Computing Hilbert class polynomials
Juliana Belding, Reinier Bröker, Andreas Enge, Kristin Lauter
Lecture Notes in Computer Science 5011, 2008, pp. 282-295
Computing zeta functions in families of C_{a,b} curves using deformation
Wouter Castryck, Hendrik Hubrechts, Frederik Vercauteren
Lecture Notes in Computer Science 5011, 2008, pp. 296-311
Computing L-series of hyperelliptic curves
Kiran S. Kedlaya, Andrew V. Sutherland
Lecture Notes in Computer Science 5011, 2008, pp. 312-326
Point counting on singular hypersurfaces
Remke Kloosterman
Lecture Notes in Computer Science 5011, 2008, pp. 327-341
Efficient hyperelliptic arithmetic using balanced representation for divisors
Steven D. Galbraith, Michael Harrison, David J. Mireles Morales
Lecture Notes in Computer Science 5011, 2008, pp. 342-356
Tabulation of cubic function fields with imaginary and unusual Hessian
Pieter Rozenhart, Renate Scheidler
Lecture Notes in Computer Science 5011, 2008, pp. 357-370
Computing Hilbert modular forms over fields with nontrivial class group
Lassina Dembélé, Steve Donnelly
Lecture Notes in Computer Science 5011, 2008, pp. 371-386

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