Buscar
Mostrando ítems 21-25 de 25
Artículo
On the ubiquity of trivial torsion on elliptic curves
(Springer, 2010-08)
The purpose of this paper is to give a down-to-earth proof of the well–known fact that a randomly chosen elliptic curve over the rationals is most likely to have trivial torsion.
Artículo
Searching for simultaneous arithmetic progressions on elliptic curves
(Australian Mathematical Society, 2005-06)
We look for elliptic curves featuring rational points whose coordinates form two arithmetic progressions, one for each coordinate. A constructive method for creating such curves is shown, for lengths up to 5.
Artículo
Characterization of Gaps and Elements of a Numerical Semigroup Using Groebner Bases
(Cornell University, 2019-07-02)
This article is partly a survey and partly a research paper. It tackles the use of Groebner bases for addressing problems of numerical semigroups, which is a topic that has been around for some years, but it does it in a ...
Artículo
Torsion of rational elliptic curves over quadratic fields
(Springer, 2014-09)
Let E be an elliptic curve defined over Q. We study the relationship between the torsion subgroup E(Q)tors and the torsion subgroup E(K)tors, where K is a quadratic number field.
Artículo
A complete diophantine characterization of the rational torsion of an elliptic curve
(Springer, 2012-01)
We give a complete characterization for the rational torsion of an elliptic curve in terms of the (non–)existence of integral solutions of a system of diophantine equations.