THE MINIMAL GROWTH OF A -REGULAR SEQUENCE

DOI10.1017/S0004972714000197zbMath1348.11023arXiv1410.5517MaRDI QIDQ2922930

Kevin G. Hare, Michael Coons, Jason P. Bell

Publication date: 15 October 2014

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.5517

zbMATH Keywords

regular sequencesautomata sequencesgrowth of arithmetic functions

Mathematics Subject Classification ID

Recurrences (11B37) Automata sequences (11B85) Rate of growth of arithmetic functions (11N56)

Related Items (15)

Growth degree classification for finitely generated semigroups of integer matrices ⋮ Automatic sequences as good weights for ergodic theorems ⋮ Morphisms on infinite alphabets, countable states automata and regular sequences ⋮ On the regularity of \(\{\lfloor \log_b(\alpha n+\beta)\rfloor\}_{n\geq 0}\) ⋮ Resonance and marginal instability of switching systems ⋮ A note on the marginal instability rates of two-dimensional linear cocycles ⋮ On multiplicative automatic sequences ⋮ A note on multiplicative automatic sequences, II ⋮ A height gap theorem for coefficients of Mahler functions ⋮ Number Theoretic Aspects of Regular Sequences ⋮ Binary Constant-Length Substitutions and Mahler Measures of Borwein Polynomials ⋮ Mock characters and the Kronecker symbol ⋮ Regular Sequences and the Joint Spectral Radius ⋮ Multiplicative automatic sequences ⋮ Linear switching systems with slow growth of trajectories

Cites Work

• Some unsolved problems
• The ring of \(k\)-regular sequences
• The Burnside problem for semigroups
• Completely multiplicative functions taking values in ${-1,1}$
• Completely Multiplicative Automatic Functions
• Automatic Sequences
• On the base-dependence of sets of numbers recognizable by finite automata
• Uniform tag sequences

This page was built for publication: THE MINIMAL GROWTH OF A -REGULAR SEQUENCE