Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Correlations among the Riemann zeros: Invariance, resurgence, prophecy
  and self-duality   We present a conjecture describing new long range correlations among the
Riemann zeros leading to 3 principal features: (i) The spectral
auto-correlation is invariant w.r.t. the averaging window. (ii) Resurgence
occurs wherein the lowest zeros appear in all auto-correlations. (iii) Suitably
defined correlations lead to predictions (prophecy) of new zeros. This
conjecture is supported by analytical arguments and confirmed by numerical
calculations using 10^{22} zeros computed by Odlyzko. The results lead to a
self-duality of the Riemann spectrum similar to the quantum-classical duality
observed in billiards.

19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics