Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A third-order Apery-like recursion for $\zeta(5)$   In 1978, Apery has given sequences of rational approximations to $\zeta(2)$
and $\zeta(3)$ yielding the irrationality of each of these numbers. One of the
key ingredient of Apery's proof are second-order difference equations with
polynomial coefficients satisfied by numerators and denominators of the above
approximations. Recently, a similar second-order difference equation for
$\zeta(4)$ has been discovered. The note contains a possible generalization of
the above results for the number $\zeta(5)$.

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The categories of this paper are: ao-sci
1
The categories of this paper are: cs
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
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The categories of this paper are: supr-con
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-lat
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-th
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The categories of this paper are: econ
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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: acc-phys
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The categories of this paper are: bayes-an
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The categories of this paper are: eess