Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Kloosterman paths and the shape of exponential sums   We consider the distribution of the polygonal paths joining partial sums of
classical Kloosterman sums, as their parameter varies modulo a prime tending to
infinity. Using independence of Kloosterman sheaves, we prove convergence in
the sense of finite distributions to a specific random Fourier series. We also
consider Birch sums, for which we can establish convergence in law in the space
of continuous functions. We then derive some applications.

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The categories of this paper are: quant-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: nlin
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The categories of this paper are: eess
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The categories of this paper are: hep-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: cs
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The categories of this paper are: stat
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The categories of this paper are: patt-sol
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The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an