Prime power terms in elliptic divisibility sequences

Details Prime power terms in elliptic divisibility sequences Prime power terms in elliptic divisibility sequences

2010-02-22

arxiv.org/abs/1002.4202v1

Mathematics

Number Theory

30 pages, submitted

Scientific paper

We consider a particular case of an analog for elliptic curves to the Mersenne problem : finding explicitely all prime power terms in an elliptic divisibility sequence when descent via isogeny is possible. We explain how this question can be related to classical problems in diophantine geometry and we compute an explicit upper bound on the index of prime power terms in magnified elliptic divisibility sequences.

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