Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Combinatorial identities related to eigenfunction decompositions of Hill
  operators: Open Questions   We formulate several open questions related to enumerative combinatorics,
which arise in the spectral analysis of Hill operators with trigonometric
polynomial potentials.

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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
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The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
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The categories of this paper are: q-fin
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The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
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The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th