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arXiv · 1503.02215

New examples of determinant divisibility sequences

Krzysztof Górnisiewicz
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Abstract

In this paper we consider divisibility sequences obtained from square matrices. We work with of matrix divisibility sequences associated to a semigroup and arising from endomorphisms of an affine space. We prove that determinant divisibility sequences originated from powers of square matrices are generalized Lucas sequences.

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Krzysztof Górnisiewicz. 2015-03-07. New examples of determinant divisibility sequences. https://arxiv.org/abs/1503.02215

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