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Journals / Hacettepe Journal of Mathematics and Statistics / 2009 / Cilt: 38 - Sayı: 2

ELLIPTIC DIVISIBILITY SEQUENCES IN CERTAIN RANKS OVER FINITE FIELDS

B. GEZER
O. BİZİM
Pages
161–171
Publication Date
2009-02-01
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

After that, we give general terms of these sequences over the finite fields Fp (p > 3 is a prime) and then we determine elliptic curves and singular curves associated with them.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We develop techniques first studied by Morgan Ward to characterize sequences which arise from elliptic curves and which contain a zero term.
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Key Findings & Data:We first define elliptic divisibility sequences over finite fields by noting that they are not the sequences which arise by reduction from integer sequences.
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Conclusion & Impact:After that, we give general terms of these sequences over the finite fields Fp (p > 3 is a prime) and then we determine elliptic curves and singular curves associated with them.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Elliptic divisibility sequences · Singular sequences · Elliptic curves

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 (p > 3 is a prime) and then we determine elliptic curves and singular curves associated with them.

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Cite This Article

GEZER, B., BİZİM, O. (2009). ELLIPTIC DIVISIBILITY SEQUENCES IN CERTAIN RANKS OVER FINITE FIELDS. Hacettepe Journal of Mathematics and Statistics, Cilt: 38 - Sayı: 2, 161–171. https://ajindex.com/articles/669755

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