OPERATIONS ON ELLIPTIC DIVISIBILITY SEQUENCES
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, cilt.55, sa.3, ss.763-776, 2018 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 55 Sayı: 3
- Basım Tarihi: 2018
- Doi Numarası: 10.4134/bkms.b170227
- Dergi Adı: BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.763-776
- Anahtar Kelimeler: elliptic divisibility sequences, operations on bilinear sequences, periodicity properties of product sequences, elliptic curves, CURVES
- Bursa Uludağ Üniversitesi Adresli: Evet
Özet
In this paper we consider the element-wise (Hadamard) product (or sum) of elliptic divisibility sequences and study the periodic structure of these sequences. We obtain that the element-wise product (or sum) of elliptic divisibility sequences are periodic modulo a prime p like linear recurrence sequences. Then we study periodicity properties of product sequences. We generalize our results to the case of modulo p(l) for some prime p > 3 and positive integer l. Finally we consider the p-adic behavior of product sequences and give a generalization of [9, Theorem 4].