Abstract. We use Masser’s counting theorem to prove a lower bound for the canonical height in powers of elliptic curves. We also prove the Galois case of the elliptic Lehmer problem, combining Kummer theory and Masser’s result with bounds on the rank and torsion of some groups of rational points on an elliptic curve. 1
We give explicit uniform bounds for several quantities relevant to the study of Galois representatio...
We give explicit uniform bounds for several quantities relevant to the study of Galois representatio...
International audienceWe establish new upper bounds for the height of the S-integral points of an el...
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...
Abstract. The main aim of this paper is to put a lower bound on the rank of elliptic curves from the...
The study of elliptic curves grows out of the study of elliptic functions which dates back to work d...
Let E be an elliptic curve over the rationals. A crucial step in determining a Mordell-Weil basis fo...
The study of elliptic curves grows out of the study of elliptic functions which dates back to work d...
AbstractWe explain how recent work on 3-descent and 4-descent for elliptic curves over Q can be comb...
Computing a lower bound for the canonical height is a crucial step in determining a Mordell-Weil bas...
Abstract. We explain how recent work on 3-descent and 4-descent for elliptic curves over Q can be co...
AbstractLet E/K be an elliptic curve defined over a number field, let ĥ be the canonical height on E...
International audienceWe establish new upper bounds for the height of the S-integral points of an el...
We introduce the notion of height for the points on an elliptic curve, an abelian variety of genus 1...
We give explicit uniform bounds for several quantities relevant to the study of Galois representatio...
We give explicit uniform bounds for several quantities relevant to the study of Galois representatio...
International audienceWe establish new upper bounds for the height of the S-integral points of an el...
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...
Abstract. The main aim of this paper is to put a lower bound on the rank of elliptic curves from the...
The study of elliptic curves grows out of the study of elliptic functions which dates back to work d...
Let E be an elliptic curve over the rationals. A crucial step in determining a Mordell-Weil basis fo...
The study of elliptic curves grows out of the study of elliptic functions which dates back to work d...
AbstractWe explain how recent work on 3-descent and 4-descent for elliptic curves over Q can be comb...
Computing a lower bound for the canonical height is a crucial step in determining a Mordell-Weil bas...
Abstract. We explain how recent work on 3-descent and 4-descent for elliptic curves over Q can be co...
AbstractLet E/K be an elliptic curve defined over a number field, let ĥ be the canonical height on E...
International audienceWe establish new upper bounds for the height of the S-integral points of an el...
We introduce the notion of height for the points on an elliptic curve, an abelian variety of genus 1...
We give explicit uniform bounds for several quantities relevant to the study of Galois representatio...
We give explicit uniform bounds for several quantities relevant to the study of Galois representatio...
International audienceWe establish new upper bounds for the height of the S-integral points of an el...
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