Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An uncertainty principle for arithmetic sequences   Analytic number theorists usually seek to show that sequences which appear
naturally in arithmetic are ``well-distributed'' in some appropriate sense. In
various discrepancy problems, combinatorics researchers have analyzed
limitations to equi-distribution, as have Fourier analysts when working with
the ``uncertainty principle''. In this article we find that these ideas have a
natural setting in the analysis of distributions of sequences in analytic
number theory, formulating a general principle, and giving several examples.

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The categories of this paper are: hep-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-th
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
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The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: math-ph
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The categories of this paper are: stat
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The categories of this paper are: nucl-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: chem-ph
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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: funct-an