Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Parabolic Cylinder Function in the Riemann-Siegel Integral Formula   We show that the two integrals in the Riemann-Siegel integral formula can be
transformed into integral representations that contain the parabolic cylinder
function $U(a,z)$ as kernel function.

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The categories of this paper are: physics
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The categories of this paper are: econ
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-th
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The categories of this paper are: funct-an
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The categories of this paper are: stat
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The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-alg
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The categories of this paper are: supr-con
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The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat