Sciweavers

ANTS
2010
Springer
246views Algorithms» more  ANTS 2010»
13 years 8 months ago
Improved Primality Proving with Eisenstein Pseudocubes
Kjell Wooding, Hugh C. Williams
ANTS
2010
Springer
233views Algorithms» more  ANTS 2010»
13 years 8 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 8 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 8 months ago
Lattices and Spherical Designs
Gabriele Nebe
ANTS
2010
Springer
250views Algorithms» more  ANTS 2010»
13 years 8 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 8 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 8 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 8 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 8 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