Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Characterization of the Number of Roots of Linearized and Projective
  Polynomials in the Field of Coefficients   A fundamental problem in the theory of linearized and projective polynomials
over finite fields is to characterize the number of roots in the coefficient
field directly from the coefficients. We prove results of this type, of a
recursive nature. These results follow from our main theorem which
characterizes the number of roots using the rank of a matrix that is smaller
than the Dickson matrix.

37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio