Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ramanujan's formula for the logarithmic derivative of the gamma function   We prove a remarkable formula of Ramanujan for the logarithmic derivative of
the gamma function, which converges more rapidly than classical expansions, and
which is stated without proof in Ramanujan's notebooks. The formula has a
number of very interesting consequences which we derive, including an elegant
hyperbolic summation, Ramanujan's formula for the Riemann zeta function
evaluated at the odd positive integers, and new formulae for Euler's constant,
gamma.

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The categories of this paper are: adap-org
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The categories of this paper are: nlin
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The categories of this paper are: math-ph
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The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
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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: cmp-lg
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The categories of this paper are: econ
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: atom-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: q-fin