We study linear divisibility sequences of order 4, finding a characterization by means of their characteristic polynomials and providing their factorization as a product of linear divisibility sequences of order 2. Moreover, we show new interesting connections between linear divisibility sequences and Salem numbers. Specifically, we generate linear divisibility sequences of order 4 by means of Salem numbers modulo 1.
Linear divisibility sequences and Salem numbers / Abrate, Marco; Barbero, Stefano; Cerruti, Umberto; Murru, Nadir. - In: PUBLICATIONES MATHEMATICAE. - ISSN 0033-3883. - 91:1-2(2017), pp. 247-259. [10.5486/PMD.2017.7814]
Linear divisibility sequences and Salem numbers
Barbero, Stefano;Murru, Nadir
2017-01-01
Abstract
We study linear divisibility sequences of order 4, finding a characterization by means of their characteristic polynomials and providing their factorization as a product of linear divisibility sequences of order 2. Moreover, we show new interesting connections between linear divisibility sequences and Salem numbers. Specifically, we generate linear divisibility sequences of order 4 by means of Salem numbers modulo 1.| File | Dimensione | Formato | |
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