Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Hurwitz stable polynomials with integer coefficients   Let H(N) denote the set of all polynomials with positive integer coefficients
which have their zeros in the open left half-plane. We are looking for
polynomials in H(N) whose largest coefficients are as small as possible and
also for polynomials in H(N) with minimal sum of the coefficients. Let h(N) and
s(N) denote these minimal values. Using Fekete's subadditive lemma we show that
the N-th square roots of h(N) and s(N) have a limit as N goes to infinity and
that these two limits coincide. We also derive tight bounds for the common
value of the limits.

25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an