• 제목/요약/키워드: operations on bilinear sequences

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OPERATIONS ON ELLIPTIC DIVISIBILITY SEQUENCES

  • Bizim, Osman;Gezer, Betul
    • 대한수학회보
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    • 제55권3호
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    • pp.763-776
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    • 2018
  • 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].