Elliptic Divisibility Sequence - Growth of EDS

Growth of EDS

Let (Wn)n ≥ 1 be a nonsingular EDS that is not periodic. Then the sequence grows quadratic exponentially in the sense that there is a positive constant h such that

\lim_{n\to\infty} \frac{\log |W_n|}{n^2} = h > 0.

The number h is the canonical height of the point on the elliptic curve associated to the EDS.

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