Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Direct and inverse results on row sequences of Hermite-Pad\'e
  approximants   We give necessary and sufficient conditions for the convergence with
geometric rate of the common denominators of simultaneous rational interpolants
with a bounded number of poles. The conditions are expressed in terms of
intrinsic properties of the system of functions used to build the approximants.
Exact rates of convergence for these denominators and the simultaneous rational
approximants are provided.

13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
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The categories of this paper are: eess
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
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The categories of this paper are: supr-con