Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Riemann Hypothesis: Architecture of a conjecture "along" the lines of
  P\'olya. From trivial zeros and Harmonic Oscillator to information about
  non-trivial zeros of the Riemann zeta-function   We propose an architecture of a conjecture concerning the Riemann Hypothesis
in the form of an "alternative" to the P\'olya strategy: we construct a
Hamiltonian H_Polya whose spectrum coincides exactly with that of the Harmonic
Oscillator Hamiltonian H_osc if and only if the Riemann Hypothesis holds true.
In other words, it can be said that we formulate the Riemann Hypothesis by
means of a non-commutative structure on the real axis, viz., that of the
Harmonic Oscillator, by an equation of the type H_Polya(H_osc) = H_osc: the
Harmonic Oscillator operator, if viewed as an argument of H_Polya, reproduces
itself.

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The categories of this paper are: hep-th
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The categories of this paper are: bayes-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: supr-con
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The categories of this paper are: cond-mat
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The categories of this paper are: gr-qc
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The categories of this paper are: econ
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ph
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The categories of this paper are: cs
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex
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The categories of this paper are: stat
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The categories of this paper are: adap-org