Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the approximation of the values of exponential function and logarithm
  by algebraic numbers   A sharp explicit estimate is proved for the difference $e^\beta-\alpha$ when
$\alpha$ and $\beta$ are nonzero algebraic numbers.

16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics