Primitive divisors of elliptic divisibility sequences

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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.
Minor corrections; final form

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Number Theory, 11G05; 11A41

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http://salesiana.dossiersoluciones.com/handle/123456789/100885

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0409540
 http://arxiv.org/abs/math/0409540
 Journal of Number Theory 118 No. 1, 71-89, 2006
 doi:10.1016/j.jnt.2005.08.002

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arXiv