Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New consequences of the Riemann-Siegel formula and a law of asymptotic
  equality of signum-areas of $Z(t)$ function   In this paper we obtain the first mean-value theorems for the function $Z(t)$
on some disconnected sets. Next, we obtain a geometric law that controls
chaotic behavior of the graph of the function $Z(t)$. This paper is the English
version of the papers \cite{8} and \cite{9}, except of the Appendix that
connects our results with the theory of Jacob's ladders, namely new third-order
formulae have been obtained.

14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an