Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Robert de Montessus de Ballore's 1902 theorem on algebraic continued
  fractions : genesis and circulation   Robert de Montessus de Ballore proved in 1902 his famous theorem on the
convergence of Pad\'e approximants of meromorphic functions. In this paper, we
will first describe the genesis of the theorem, then investigate its
circulation. A number of letters addressed to Robert de Montessus by different
mathematicians will be quoted to help determining the scientific context and
the steps that led to the result. In particular, excerpts of the correspondence
with Henri Pad\'e in the years 1901-1902 played a leading role. The large
number of authors who mentioned the theorem soon after its derivation, for
instance N\"orlund and Perron among others, indicates a fast circulation due to
factors that will be thoroughly explained.

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The categories of this paper are: ao-sci
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The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
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The categories of this paper are: astro-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: funct-an
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The categories of this paper are: physics
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The categories of this paper are: gr-qc
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The categories of this paper are: adap-org
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The categories of this paper are: hep-th
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The categories of this paper are: cs