Terms in Elliptic Divisibility Sequences Divisible by Their Indices
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چکیده
Let D = (Dn)n≥1 be an elliptic divisibility sequence. We study the set S(D) of indices n satisfying n | Dn. In particular, given an index n ∈ S(D), we explain how to construct elements nd ∈ S(D), where d is either a prime divisor of Dn, or d is the product of the primes in an aliquot cycle for D. We also give bounds for the exceptional indices that are not constructed in this way.
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تاریخ انتشار 2010