Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Euler characteristic of the space of real multivariate irreducible
  polynomials   We compute the compactly supported Euler characteristic of the space of
degree $d$ irreducible polynomials in $n$ variables with real coefficients and
show that the values are given by the digits in the so-called balanced binary
expansion of the number of variables $n$.

35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th