Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Unlikely intersections over finite fields: polynomial orbits in small
  subgroups   We estimate the frequency of polynomial iterations which falls in a given
multiplicative subgroup of a finite field of $p$ elements. We also give a lower
bound on the size of the subgroup which is multiplicatively generated by the
first $N$ elements in an orbit. We derive these from more general results about
sequences of compositions or a fixed set of polynomials.

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The categories of this paper are: cs
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The categories of this paper are: supr-con
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The categories of this paper are: mtrl-th
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The categories of this paper are: funct-an
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The categories of this paper are: econ
26
The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: patt-sol
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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ex
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The categories of this paper are: nlin
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The categories of this paper are: physics