Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Polynomial Values in Small Subgroups of Finite Fields   For a large prime $p$, and a polynomial $f$ over a finite field $F_p$ of $p$
elements, we obtain a lower bound on the size of the multiplicative subgroup of
$F_p^*$ containing $H\ge 1$ consecutive values $f(x)$, $x = u+1, \ldots, u+H$,
uniformly over $f\in F_p[X]$ and an $u \in F_p$.

31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn