Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Large deviations in Selberg's central limit theorem   Following Selberg it is known that uniformly for V << (logloglog T)^{1/2 -
\epsilon} the measure of those t \in [T;2T] for which log |\zeta(1/2 + it)| >
V*((1/2)loglog T)^{1/2} is approximately T times the probability that a
standard Gaussian random variable takes on values greater than V. We extend the
range of V to V << (loglog T)^{1/10 - \epsilon}. We also speculate on the size
of the largest V for which this normal approximation can hold and on the
correct approximation beyond that point.

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The categories of this paper are: gr-qc
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
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The categories of this paper are: physics
17
The categories of this paper are: q-fin