Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Gevrey orders of power expansions of solutions to the third and fifth
  Painlev\'{e} equations   The question under consideration is Gevrey summability of power expansions of
solutions to the third and fifth Painlev\'{e} equations near infinity. Methods
of French and Japaneese schools are used to analyse these properties of formal
power-series solutions. The results obtained are compared with the ones
obtained by means of Power Geometry.

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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: supr-con
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The categories of this paper are: hep-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-bio
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The categories of this paper are: quant-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-th