Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Jacob's ladders, crossbreeding and new synergetic formulas for the class
  of more complicated external parts of $\zeta$-factorization formulas   In this paper we obtain new canonical synergetic formula, namely an
$\zeta$-analogue of next elementary trigonometric formula. This one describes
cooperative interactions between corresponding class of elementary functions
and the Riemann's zeta-function on a class of disconnected sets on the critical
line.

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The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
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The categories of this paper are: bayes-an
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-ex
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The categories of this paper are: nlin
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The categories of this paper are: plasm-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: math-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: q-bio
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-lat