Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the self-replicating properties of Riemann zeta zeros: A statistical
  study   We study distributions of differences of unscaled Riemann zeta zeros,
$\gamma-\gamma^{'}$, at large distances. We show, that independently of the
height, a subset of finite number of successive zeros knows the locations of
lower level zeros. The information contained in the subset of zeros is
inversely proportional to $ln(\gamma/(2\pi))$, where $\gamma$ is the average
zeta of the subset. Because the mean difference of the zeros also decreases as
inversely proportional to $ln(\gamma/(2\pi))$, each equally long segment of the
line $\Re(z)=1/2$ contains equal amount of information. The distributions of
differences are skewed towards the nearest zeta zero, or at least, in the case
of very nearby zeros, the skewness always decreases when zeta zero is crossed
in increasing direction. We also show that the variance of distributions has
local maximum or, at least, a turning point at every zeta zero, i.e., local
minimum of the second derivative of the variance. In addition, it seems that
the higher the zeros the more compactly the distributions of the differences
are located in the skewness-kurtosis -plane. The flexibility of the Johnson
distribution allows us to fit the distributions nicely, despite of the values
of skewness and kurtosis of the distributions.

5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph