Primitive divisors of elliptic divisibility sequences
Number Theory
2007-05-23 v2
Abstract
Silverman proved the analogue of Zsigmondy's Theorem for elliptic divisibility sequences. For elliptic curves in global minimal form, it seems likely this result is true in a uniform manner. We present such a result for certain infinite families of curves and points. Our methods allow the first explicit examples of the elliptic Zsigmondy Theorem to be exhibited.
Cite
@article{arxiv.math/0409540,
title = {Primitive divisors of elliptic divisibility sequences},
author = {Graham Everest and Gerard Mclaren and Tom Ward},
journal= {arXiv preprint arXiv:math/0409540},
year = {2007}
}
Comments
Minor corrections; final form