ELLIPTIC DIVISIBILITY SEQUENCES IN CERTAIN RANKS OVER FINITE FIELDS

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Hacettepe Journal of Mathematics and Statistics
Volume:38 Issue:2
ELLIPTIC DIVISIBILITY SEQUENCES IN CERTAIN RANKS OVER FINITE FIELDS

ELLIPTIC DIVISIBILITY SEQUENCES IN CERTAIN RANKS OVER FINITE FIELDS

Authors : B GEZER, O BİZİM

Pages : 161-171

View : 19 | Download : 13

Publication Date : 2009-02-01

Article Type : Research Paper

Abstract :We develop techniques first studied by Morgan Ward to characterize sequences which arise from elliptic curves and which contain a zero term. We first define elliptic divisibility sequences over finite fields by noting that they are not the sequences which arise by reduction from integer sequences. After that, we give general terms of these sequences over the finite fields Fp insert ignore into journalissuearticles values(p > 3 is a prime); and then we determine elliptic curves and singular curves associated with them.
Keywords : Elliptic divisibility sequences, Singular sequences, Elliptic curves, Singular curves, 2000 AMS Classification 11 B 50

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