Primitive divisors of elliptic divisibility sequences

Details Primitive divisors of elliptic divisibility sequences Primitive divisors of elliptic divisibility sequences

2004-09-28

arxiv.org/abs/math/0409540v2

Journal of Number Theory 118 No. 1, 71-89, 2006

Mathematics

Number Theory

Minor corrections; final form

Scientific paper

10.1016/j.jnt.2005.08.002

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.

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