On completely multiplicative automatic sequences - Sorbonne Université
Journal Articles Journal of Number Theory Year : 2020

On completely multiplicative automatic sequences

Abstract

In this article we prove that all completely multiplicative automatic sequences (an) n∈N defined on C, vanishing or not, can be written in the form an = bnχn where (bn) n∈N is an almost constant sequence, and (χn) n∈N is a Dirichlet character.
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Dates and versions

hal-02995722 , version 1 (09-11-2020)

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Shuo Li. On completely multiplicative automatic sequences. Journal of Number Theory, 2020, 213, pp.388-399. ⟨10.1016/j.jnt.2019.12.015⟩. ⟨hal-02995722⟩
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