A note on multiplicative automatic sequences, II
Oleksiy Klurman, Pär Kurlberg · Bulletin of the London Mathematical Society · 2020
We prove that any q -automatic multiplicative function f : N → C either essentially coincides with a Dirichlet character, or vanishes on all sufficiently large primes. This confirms a strong form of a conjecture of Bell, Bruin and Coons [Trans. Amer. Math. Soc. 364 (2012) 933–959].