Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The minimal growth of a $k$-regular sequence   We determine a lower gap property for the growth of an unbounded
\(\mathbb{Z}\)-valued \(k\)-regular sequence. In particular, if
\(f:\mathbb{N}\to\mathbb{Z}\) 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.

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The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-th
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The categories of this paper are: cond-mat
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The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys
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The categories of this paper are: math-ph
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The categories of this paper are: stat
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The categories of this paper are: econ
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The categories of this paper are: nlin