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A note on multiplicative automatic sequences, II

Published 26 May 2019 in math.NT and math.CO | (1905.10897v1)

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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Authors (2)

  1. Oleksiy Klurman 
  2. Pär Kurlberg 

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