Sciweavers

ANTS
2010
Springer
246views Algorithms» more  ANTS 2010»
13 years 11 months ago
Improved Primality Proving with Eisenstein Pseudocubes
Kjell Wooding, Hugh C. Williams
ANTS
2010
Springer
233views Algorithms» more  ANTS 2010»
13 years 11 months ago
Congruent Number Theta Coefficients to 1012
William B. Hart, Gonzalo Tornaría, Mark Wat...
ANTS
2010
Springer
246views Algorithms» more  ANTS 2010»
13 years 11 months ago
On Weil Polynomials of K3 Surfaces
Abstract. For K3 surfaces, we derive some conditions the characteristic polynomial of the Frobenius on the ´etale cohomology must satisfy. These conditions may be used to speed up...
Andreas-Stephan Elsenhans, Jörg Jahnel
ANTS
2010
Springer
268views Algorithms» more  ANTS 2010»
13 years 11 months ago
Lattices and Spherical Designs
Gabriele Nebe
ANTS
2010
Springer
250views Algorithms» more  ANTS 2010»
13 years 11 months ago
A Subexponential Algorithm for Evaluating Large Degree Isogenies
An isogeny between elliptic curves is an algebraic morphism which is a group homomorphism. Many applications in cryptography require evaluating large degree isogenies between ellip...
David Jao, Vladimir Soukharev
ANTS
2010
Springer
246views Algorithms» more  ANTS 2010»
13 years 11 months ago
Visualizing Elements of Sha[3] in Genus 2 Jacobians
Abstract. Mazur proved that any element ξ of order three in the Shafarevich-Tate group of an elliptic curve E over a number field k can be made visible in an abelian surface A in...
Nils Bruin, Sander R. Dahmen
ANTS
2010
Springer
246views Algorithms» more  ANTS 2010»
13 years 11 months ago
On the Extremality of an 80-Dimensional Lattice
Abstract. We show that a specific even unimodular lattice of dimension 80, first investigated by Schulze-Pillot and others, is extremal (i.e., the minimal nonzero norm is 8). Thi...
Damien Stehlé, Mark Watkins
ANTS
2010
Springer
291views Algorithms» more  ANTS 2010»
13 years 11 months ago
Fixed Points for Discrete Logarithms
: We establish a conjecture of Brizolis that for every prime p > 3 there is a primitive root r and an integer t in the interval [1, p − 1] with logr t = t. Here, logr is the d...
Mariana Levin, Carl Pomerance, K. Soundararajan
ANTS
2010
Springer
252views Algorithms» more  ANTS 2010»
13 years 11 months ago
On a Problem of Hajdu and Tengely
Abstract. We answer a question asked by Hajdu and Tengely: The only arithmetic progression in coprime integers of the form (a2 , b2 , c2 , d5 ) is (1, 1, 1, 1). For the proof, we ...
Samir Siksek, Michael Stoll