Some Divisibility Properties Concerning Lucas and Elliptic Divisibility Sequences
Chatchawan Panraksa and Aram Tangboonduangjit
Mahidol University International College
Salaya, Nakhon Pathom 73170
We consider sequences of integers formed by a quotient of the Lucas
sequences or elliptic divisibility sequences. We then investigate some
divisibility properties of these quotient sequences. Additionally,
we prove that elliptic divisibility sequences possess a divisibility
property that is analogous to a generalization of Matijasevich's lemma
involving the Fibonacci numbers, which contributed to the solution to
Hilbert's tenth problem.
Full version: pdf,
(Concerned with sequences
Received May 16 2022; revised versions received July 31 2022; August 7 2022.
Published in Journal of Integer Sequences,
October 28 2022.
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