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arXiv · 1709.01995

Linear divisibility sequences and Salem numbers

Marco Abrate·Stefano Barbero·Umberto Cerruti·Nadir Murru
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Abstract

We study linear divisibility sequences of order 4, providing a characterization by means of their characteristic polynomials and finding their factorization as a product of linear divisibility sequences of order 2. Moreover, we show a new interesting connection between linear divisibility sequences and Salem numbers. Specifically, we generate linear divisibility sequences of order 4 by means of Salem numbers modulo 1.

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Marco Abrate, Stefano Barbero, Umberto Cerruti, Nadir Murru. 2017-09-06. Linear divisibility sequences and Salem numbers. https://arxiv.org/abs/1709.01995

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