Upper bound for the height of S-integral points on elliptic curves
Number Theory
2012-08-15 v1
Abstract
We establish new upper bounds for the height of the S-integral points of an elliptic curve. This bound is explicitly given in terms of the set S of places of the number field K involved, but also in terms of the degree of K, as well as the rank, the regulator and the height of a basis of the Mordell-Weil group of the curve. The proof uses the elliptic analogue of Baker's method, based on lower bounds for linear forms in elliptic logarithms.
Cite
@article{arxiv.1208.2693,
title = {Upper bound for the height of S-integral points on elliptic curves},
author = {Vincent Bosser and Andrea Surroca},
journal= {arXiv preprint arXiv:1208.2693},
year = {2012}
}
Comments
17 pages. arXiv admin note: substantial text overlap with arXiv:1203.3865