Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Polarization of an inequality   We generalize a previous inequality related to a sharp version of the
Littlewood conjecture on the minimal $L_1$-norm of $N$-term exponential sums
$f$ on the unit circle. The new result concerns replacing the expression
$\log(1+t|f|^2)$ with $\log (\sum_{k=1}^K t_k|f_{k}|^2)$. The proof occurs on
the level of finite Toeplitz matrices, where it reduces to an inequality
between their polarized determinants (or "mixed discriminants").

36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an