Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some properties of the pseudo-Smarandache function   We answer a number of questions relating to the pseudo-Smarandache function
Z(n). We show that the ratio of consecutive values $Z(n+1)/Z(n)$ and
$Z(n-1)/Z(n)$ are unbounded; that $Z(2n)/Z(n)$ is unbounded; that $n/Z(n)$
takes every integer value infinitely often; and that the series $\sum_n
1/Z(n)^\alpha$ is convergent for any $\alpha > 1$.

32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th