Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the number of zeros of linear combinations of independent
  characteristic polynomials of random unitary matrices   We show that almost all the zeros of any finite linear combination of
independent characteristic polynomials of random unitary matrices lie on the
unit circle. This result is the random matrix analogue of an earlier result by
Bombieri and Hejhal on the distribution of zeros of linear combinations of
$L$-functions, thus providing further evidence for the conjectured links
between the value distribution of the characteristic polynomial of random
unitary matrices and the value distribution of $L$-functions on the critical
line.

9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn