Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Notes on Pair Correlation of Zeros and Prime Numbers   These notes are based on my four lectures given at the Newton Institute in
April 2004 during the Recent Perspectives in Random Matrix Theory and Number
Theory Workshop. Their purpose is to introduce the reader to the analytic
number theory necessary to understand Montgomery's work on the pair correlation
of the zeros of the Riemann zeta-function and subsequent work on how this
relates to prime numbers. A very brief introduction to Selberg's work on the
moments of $S(T)$ is also given.

10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg