Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Jacob's ladders and some new consequences from A. Selberg's formula   It is proved in this paper that the Jacob's ladders together with the A.
Selberg's classical formula (1942) lead to a new kind of formulae for some
short trigonometric sums. These formulae cannot be obtained in the classical
theory of A. Selberg, and all the less, in the theories of Balasubramanian,
Heath-Brown and Ivic.

24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
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The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci