Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the mod-Gaussian convergence of a sum over primes   We prove mod-Gaussian convergence for a Dirichlet polynomial which
approximates $\operatorname{Im}\log\zeta(1/2+it)$. This Dirichlet polynomial is
sufficiently long to deduce Selberg's central limit theorem with an explicit
error term. Moreover, assuming the Riemann hypothesis, we apply the theory of
the Riemann zeta-function to extend this mod-Gaussian convergence to the
complex plane. From this we obtain that $\operatorname{Im}\log\zeta(1/2+it)$
satisfies a large deviation principle on the critical line. Results about the
moments of the Riemann zeta-function follow.

36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin