A note on multiplicative automatic sequences, II
Number Theory
2020-02-05 v1 Combinatorics
Abstract
We prove that any -automatic multiplicative function 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.
Keywords
Cite
@article{arxiv.1905.10897,
title = {A note on multiplicative automatic sequences, II},
author = {Oleksiy Klurman and Pär Kurlberg},
journal= {arXiv preprint arXiv:1905.10897},
year = {2020}
}