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Mostrando ítems 21-26 de 26
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.
Tesis Doctoral
On the generalised phase kick-back and its applications
(2024-04-04)
La computación cuántica es una rama que ha adquirido creciente relevancia en los últimos tiempos, sobre todo tras el descubrimiento por parte de Peter Shor en los años 90 de un algoritmo para factorizar enteros de forma ...