Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A hybrid of two theorems of Piatetski-Shapiro   Let $c > 1$ and $0 < \gamma < 1$ be real, with $c \notin \mathbb N$. We study
the solubility of the Diophantine inequality \[ \left| p_1^c + p_2^c + \dots +
p_s^c - N \right| < \varepsilon \] in Piatetski-Shapiro primes $p_1, p_2,
\dots, p_s$ of index $\gamma$---that is, primes of the form $p = \lfloor
m^{1/\gamma} \rfloor$ for some $m \in \mathbb N$.

37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci