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

Elliptic divisibility sequences in certaın ranks over finite fields

O. BİZİM
B. GEZER
Sayfa
161–171
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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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Temel Bulgular & Veri: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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Sonuç & Katkı:After that, we give general terms of these sequences over the finite fields $Bbb{F} _p$ (p > 3 is a prime) and then we determine elliptic curves and singular curves associated with them.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

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 $Bbb{F} _p$ (p > 3 is a prime) and then we determine elliptic curves and singular curves associated with them.

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Bu Makaleye Atıf Yap

BİZİM, O., GEZER, B. (2022). Elliptic divisibility sequences in certaın ranks over finite fields. Hacettepe Journal of Mathematics and Statistics, Cilt: 38 - Sayı: 2, 161–171. https://ajindex.com/articles/530701

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Kaynakça (12)

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  11. Ward, M. The law of repetition of primes in an elliptic divisibility sequences, Duke Math. J. 15, 941–946, 1948
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