Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the conditions for a special entire function relative to the partial
  theta-function and the Euler function to belong to the Laguerre-P\'olya class   In this paper, we discuss the conditions for the function $F_a(z) =
\sum_{k=0}^\infty \frac{z^k}{(a+1)(a^2+1) \ldots (a^k+1)}, a>1,$ to belong to
the Laguerre-P\'olya class, or to have only real zeros.

19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics