Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Arithmetic and Analysis of the series $\displaystyle {
  \sum_{n=1}^{\infty} \frac{1}{n} \sin \frac{x}{n} }$   In this paper we connect a celebrated theorem of Nyman and Beurling on the
equivalence between the Riemann hypothesis and the density of some functional
space in $ L^2(0, 1)$ to a trigonometric series considered first by Hardy and
Littlewood. We highlight some of its curious analytical and arithmetical
properties.

26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs