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arXiv · 1909.12052

Cyclotomic properties of polynomials associated with automatic sequences

Bartosz Sobolewski
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Abstract

We show that polynomials associated with automatic sequences satisfy a certain recurrence relation when evaluated at a root of unity, which generalizes a result of Brillhart, Lomont and Morton on the Rudin--Shapiro polynomials. We study the minimal order of such a relation and the integrality of its coefficients.

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Bartosz Sobolewski. 2019-09-26. Cyclotomic properties of polynomials associated with automatic sequences. https://arxiv.org/abs/1909.12052

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