Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Popov's formula involving the Von Mangoldt function   We offer a generalization of a formula of Popov involving the Von Mangoldt
function. Some commentary on its relation to other results in analytic number
theory is mentioned as well as an analogue involving the m$\ddot{o}$bius
function.

25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom