Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Proof of the Sendov conjecture for polynomials of degree nine   In this paper, we prove the Sendov conjecture for polynomials of degree nine.
We use a new idea to obtain new upper bound for the $\sigma-$sum to zeros of
the polynomial.

11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an