Matthew Baker, Su-Ion Ih, Robert Rumely
Published 2005-09-21Version 1
Let k be a number field, let E/k be an elliptic curve, and let S be a finite set of places of k contianing the archimedean places. Let F be an algebraic closure of k. We prove that if a point P in E(F) is nontorsion, then there are only finitely many torsion points x in E(F) which are S-integral with respect to P. We also prove an analogue of this for the multiplicative group, and formulate conjectural generalizations for abelian varieties and dynamical systems.
Massey products for elliptic curves of rank 1
Sato--Tate, cyclicity, and divisibility statistics on average for elliptic curves of small height
On the Surjectivity of Galois Representations Associated to Elliptic Curves over Number Fields
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