Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dirichlet polynomials: some old and recent results, and their interplay
  in number theory   In the first part of this expository paper, we present and discuss the
interplay of Dirichlet polynomials in some classical problems of number theory,
notably the Lindel\"of Hypothesis. We review some typical properties of their
means and continue with some investigations concerning their supremum
properties. Their random counterpart is considered in the last part of the
paper, where a analysis of their supremum properties, based on methods of
stochastic processes, is developed.

23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci