Linear divisibility sequences and Salem numbers
Marco Abrate, Stefano Barbero, Umberto Cerruti, Nadir Murru · Institutional Research Information System (Università degli Studi di Trento) · 2017
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.