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Pré-Publication, Document De Travail Année : 2009

Prime power terms in elliptic divisibility sequences

Résumé

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.

Dates et versions

hal-00482457 , version 1 (10-05-2010)

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Valéry Mahé. Prime power terms in elliptic divisibility sequences. 2009. ⟨hal-00482457⟩
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