Prime Power Terms In Elliptic Divisibility Sequences

We study a problem on specializations of multiples of rational points on elliptic curves analogous to the Mersenne problem. We solve this problem when descent via isogeny is possible by giving explicit bounds on the indices of prime power terms in elliptic divisibility sequences associated to points in the image of a nontrivial isogeny. We also discuss the uniformity of these bounds assuming the Hall-Lang conjecture.


Published in:
Mathematics Of Computation, 83, 288, 1951-1991
Year:
2014
Publisher:
Providence, American Mathematical Society
ISSN:
0025-5718
Keywords:
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 Record created 2014-08-29, last modified 2018-03-17

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