On the minimal set for counterexamples to the local-global principle
Number Theory
2011-07-19 v1
Abstract
We prove that only for powers of 2 and 3 could occur counterexamples to the local-global divisibility principle for elliptic curves defined over the rationals. For we refine our previous criterion for the validity of the principle. We also give an example that shows that the assumptions of our criterion are necessary.
Cite
@article{arxiv.1107.3431,
title = {On the minimal set for counterexamples to the local-global principle},
author = {Laura Paladino and Gabriele Ranieri and Evelina Viada},
journal= {arXiv preprint arXiv:1107.3431},
year = {2011}
}
Comments
21 pages