Linear divisibility sequences and Salem numbers
classification
🧮 math.NT
keywords
divisibilitylinearsequencesnumbersordersalemmeanscharacteristic
read the original 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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