Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On asymptotic behaviour of Dirichlet inverse   Let $f(n)$ be an arithmetic function with $f(1)\neq0$ and let $f^{-1}(n)$ be
its reciprocal with respect to the Dirichlet convolution. We study the
asymptotic behaviour of $|f^{-1}(n)|$ with regard to the asymptotic behaviour
of $|f(n)|$ assuming that the latter one grows or decays with at most
polynomial or exponential speed. As a by-product, we obtain simple but
constructive upper bounds for the number of ordered factorizations of $n$ into
$k$ factors.

26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th