Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a divisibility relation for Lucas sequences   In this note, we study the divisibility relation $U_m\mid U_{n+k}^s-U_n^s$,
where ${\bf U}:=\{U_n\}_{n\ge 0}$ is the Lucas sequence of characteristic
polynomial $x^2-ax\pm 1$ and $k,m,n,s$ are positive integers.

26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: alg-geom
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The categories of this paper are: cmp-lg
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The categories of this paper are: chao-dyn
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The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
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The categories of this paper are: eess
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The categories of this paper are: econ