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arXiv · 1905.10897

A note on multiplicative automatic sequences, II

Oleksiy Klurman·Pär Kurlberg
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Abstract

We prove that any $q$-automatic multiplicative function $f:\mathbb{N}\to\mathbb{C}$ either essentially coincides with a Dirichlet character, or vanishes on all sufficiently large primes. This confirms a strong form of a conjecture of J. Bell, N. Bruin, and M. Coons.

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Oleksiy Klurman, Pär Kurlberg. 2019-05-26. A note on multiplicative automatic sequences, II. https://doi.org/10.1112/blms.12318

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