Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Relations de r\'ecurrence lin\'eaires, primitivit\'e et loi de Benford   We prove that many sequences of positive numbers $(a_n)$ defined by finite
linear difference equations $a_{n+k}=c_{k-1}a_{n+k-1}+...+c_0a_n$ with suitable
non negative reals coefficients $c_i$ satisfy Bendford's Law on the first digit
in many bases $b>2$. Our techniques rely on Perron-Frobenius theory via the
companion matrix of the characteristic polynomial of the defining equation.

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The categories of this paper are: econ
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The categories of this paper are: cs
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The categories of this paper are: stat
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The categories of this paper are: gr-qc
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th
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The categories of this paper are: supr-con
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The categories of this paper are: plasm-ph
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The categories of this paper are: nlin
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The categories of this paper are: hep-th
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The categories of this paper are: eess
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The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-ph
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The categories of this paper are: q-bio