OPERATIONS ON ELLIPTIC DIVISIBILITY SEQUENCES

BİZİM O., GEZER B.

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, cilt.55, sa.3, ss.763-776, 2018 (SCI-Expanded) identifier identifier

  • 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].