CUBES IN ELLIPTIC DIVISIBILITY SEQUENCES

Gezer B., Bizim O.

MATHEMATICAL REPORTS, cilt.14, sa.1, ss.21-29, 2012 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 1
  • Basım Tarihi: 2012
  • Dergi Adı: MATHEMATICAL REPORTS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
  • Sayfa Sayıları: ss.21-29
  • Anahtar Kelimeler: elliptic divisibility sequences, cubes, LUCAS SEQUENCES, SQUARES
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

Elliptic divisibility sequences are generalizations of a class of integer divisibility sequences called Lucas sequences. There has been much interest in cases where the terms of Lucas sequences and also sequences of Pell numbers are squares or cubes [7, 8]. In [6], we determine in which cases a term of an elliptic divisibility sequence can be a square if one of the first six terms is zero. We also determine the cube terms of these sequences.