- Title
- The minimal growth of a k-regular sequence
- Creator
- Bell, Jason P.; Coons, Michael; Hare, Kevin G.
- Relation
- ARC.DE140100223
- Relation
- Bulletin of the Australian Mathematical Society Vol. 90, p. 195-203
- Publisher Link
- http://dx.doi.org/10.1017/S0004972714000197
- Publisher
- Australian Mathematical Society
- Resource Type
- journal article
- Date
- 2014
- Description
- We determine a lower gap property for the growth of an unbounded Ζ-valued k-regular sequence. In particular, if f : Ν → Ζ is an unbounded k-regular sequence, we show that there is a constant c > 0 such that ∣f(n)∣ > c log n infinitely often. We end our paper by answering a question of Borwein, Choi and Coons on the sums of completely multiplicative automatic functions.
- Subject
- automata sequences; regular sequences; growth of arithmetic functions
- Identifier
- http://hdl.handle.net/1959.13/1304043
- Identifier
- uon:20778
- Identifier
- ISSN:0004-9727
- Language
- eng
- Reviewed
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