Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Oscillations in Mertens Theorems and Other Finite Sums and Products   This note simplifies the proof of a recent result on the oscillation of the
prime product in Martens Theorem, and provides a quantitative expression for
the error term. In addition, the corresponding oscillation results for the
finite sums of the reciprocal of the primes up to a fixed number and other
finite sums and products are also given.

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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: plasm-ph
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The categories of this paper are: stat
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The categories of this paper are: ao-sci
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The categories of this paper are: chao-dyn
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The categories of this paper are: nlin
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The categories of this paper are: nucl-ex
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The categories of this paper are: supr-con
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The categories of this paper are: q-bio
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The categories of this paper are: physics
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: cond-mat