Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On growth of the number of determinants with restricted entries   Let $A$ be a finite subset of a field $\mathbb{F}$ and $D_n(A)$ be a set of
all matrices with entries in $A$, namely $$ D_n(A)=\{D\in \mathbb{F}\ |\
\exists a_{ij}\in A, 1 \le i,j \le n, \det\bigl((a_{ij})\bigr)=D\}, $$ where
the symbol $(a_{ij})$ defines the matrix with elements $a_{ij}$. How big is the
size of the set $D_n(A)$ comparing to the size of the set $A$?

31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs