Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Approximations for Apery's constant $\zeta(3)$ and rational series
  representations involving $\zeta(2n)$   In this note, using an idea from \cite{Amo-Carrillo-Sanchez} we derive some
new series representations involving $\zeta(2n)$ and Euler numbers. Using a
well-known series representation for the Clausen function, we also provide some
new representations of Apery's constant $\zeta(3)$. In particular cases, we
recover some well-known series representations of $\pi$.

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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: gr-qc
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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: supr-con
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The categories of this paper are: q-alg
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The categories of this paper are: quant-ph
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The categories of this paper are: cs
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: eess
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The categories of this paper are: ao-sci