Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the roots of the equation $\zeta(s)=a$   Given any complex number $a$, we prove that there are infinitely many simple
roots of the equation $\zeta(s)=a$ with arbitrarily large imaginary part.
Besides, we give a heuristic interpretation of a certain regularity of the
graph of the curve $t\mapsto \zeta({1\over 2}+it)$. Moreover, we show that the
curve $t\mapsto (\zeta({1\over 2}+it),\zeta'({1\over 2}+it))$ is not dense in
$C^2$.

9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th