We use elliptic divisibility sequences to describe a method for estimating the global canonical height of an algebraic point on an elliptic curve. This method requires almost no knowledge of the number field or the curve, is simple to implement, and requires no factorization. The method is ideally suited to searching for algebraic points with small height, in connection with the elliptic Lehmer problem. The accuracy of the method is discussed
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2016.Cataloged fro...
AbstractLet π: S → P1 be an elliptic surface over the complex numbers. Let E be the generic fiber of...
We give bounds for the canonical height of rational and integral points on cubic twists of the Ferma...
We use elliptic divisibility sequences to describe a method for estimating the global canonical heig...
Abstract. We use elliptic divisibility sequences to describe a method for estimating the global cano...
We use elliptic divisibility sequences to describe a method for computing the global canonical heigh...
Computing a lower bound for the canonical height is a crucial step in determining a Mordell-Weil bas...
Computing a lower bound for the canonical height is a crucial step in determining a Mordell-Weil bas...
Let E be an elliptic curve over the rationals. A crucial step in determining a Mordell-Weil basis fo...
AbstractWe estimate the bounds for the difference between the ordinary height and the canonical heig...
AbstractLet E/K be an elliptic curve defined over a number field, let ĥ be the canonical height on E...
Abstract. We discuss a new method to compute the canonical height of an algebraic point on a hyperel...
AbstractWe estimate the bounds for the difference between the ordinary height and the canonical heig...
AbstractLet E → C be an elliptic surface defined over a number field K, let P: C → E be a section, a...
We consider the problem of lower bounds for the canonical height on elliptic curves, aiming for the ...
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2016.Cataloged fro...
AbstractLet π: S → P1 be an elliptic surface over the complex numbers. Let E be the generic fiber of...
We give bounds for the canonical height of rational and integral points on cubic twists of the Ferma...
We use elliptic divisibility sequences to describe a method for estimating the global canonical heig...
Abstract. We use elliptic divisibility sequences to describe a method for estimating the global cano...
We use elliptic divisibility sequences to describe a method for computing the global canonical heigh...
Computing a lower bound for the canonical height is a crucial step in determining a Mordell-Weil bas...
Computing a lower bound for the canonical height is a crucial step in determining a Mordell-Weil bas...
Let E be an elliptic curve over the rationals. A crucial step in determining a Mordell-Weil basis fo...
AbstractWe estimate the bounds for the difference between the ordinary height and the canonical heig...
AbstractLet E/K be an elliptic curve defined over a number field, let ĥ be the canonical height on E...
Abstract. We discuss a new method to compute the canonical height of an algebraic point on a hyperel...
AbstractWe estimate the bounds for the difference between the ordinary height and the canonical heig...
AbstractLet E → C be an elliptic surface defined over a number field K, let P: C → E be a section, a...
We consider the problem of lower bounds for the canonical height on elliptic curves, aiming for the ...
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2016.Cataloged fro...
AbstractLet π: S → P1 be an elliptic surface over the complex numbers. Let E be the generic fiber of...
We give bounds for the canonical height of rational and integral points on cubic twists of the Ferma...