Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uniform approximation of some Dirichlet series by partial products of
  Euler type   In the present work we show that the Dirichlet series with the Euler product
having analytical continuation to the critical strip without singularities, in
some natural conditions, can be approximated by partial products of Euler type
in the critical strip, if the primes over which are taken the products are
distributed by a suitable way. The family of such series includes many of
widely used Dirichlet series as the zeta-function, Dirichlet L-functions and
etc. As a consequence the analog of the Riemann Hypothesis for such series is
proven.

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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: math-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
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The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ex
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-ex
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The categories of this paper are: gr-qc