Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dyson's constant for the hypergeometric kernel   We study a Fredholm determinant of the hypergeometric kernel arising in the
representation theory of the infinite-dimensional unitary group. It is shown
that this determinant coincides with the Palmer-Beatty-Tracy tau function of a
Dirac operator on the hyperbolic disk. Solution of the connection problem for
Painleve VI equation allows to determine its asymptotic behavior up to a
constant factor, for which a conjectural expression is given in terms of Barnes
functions. We also present analogous asymptotic results for the Whittaker and
Macdonald kernel.

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The categories of this paper are: cs
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The categories of this paper are: chem-ph
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The categories of this paper are: stat
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The categories of this paper are: acc-phys
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The categories of this paper are: cond-mat
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The categories of this paper are: physics
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The categories of this paper are: cmp-lg
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The categories of this paper are: chao-dyn
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The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: econ
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The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom