Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On an tangent equation by primes   In this paper we introduce a new diophantine equation with prime numbers. Let
$[\, \cdot\,]$ be the floor function. We prove that when $1<c<\frac{23}{21}$
and $\theta>1$ is a fixed, then every sufficiently large positive integer $N$
can be represented in the form \begin{equation*} N=\big[p^c_1\tan^\theta(\log
p_1)\big]+ \big[p^c_2\tan^\theta(\log p_2)\big]+ \big[p^c_3\tan^\theta(\log
p_3)\big]\,, \end{equation*} where $p_1,\, p_2,\, p_3$ are prime numbers. We
also establish an asymptotic formula for the number of such representations.

20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci