Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pair correlation statistics for Sato-Tate sequences   We investigate the pair correlation statistics for sequences arising from
Hecke eigenvalues with respect to spaces of primitive modular cusp forms. We
derive the average pair correlation function of Hecke angles lying in small
subintervals of $[0,1]$. The averaging is done over non-CM newforms of weight
$k$ with respect to $\Gamma_0(N).$ We also derive similar statistics for
Hilbert modular forms and modular forms on hyperbolic 3-spaces.

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The categories of this paper are: eess
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The categories of this paper are: q-bio
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The categories of this paper are: cmp-lg
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The categories of this paper are: nlin
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: stat
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The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
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The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: physics
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The categories of this paper are: math-ph