Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On growth of the set $A(A+1)$ in arbitrary finite fields   Let $\mathbb{F}_q$ be a finite field of order $q$, where $q$ is a power of a
prime. For a set $A \subset \mathbb{F}_q$, under certain structural
restrictions, we prove a new explicit lower bound on the size of the product
set $A(A + 1)$. Our result improves on the previous best known bound due to
Zhelezov and holds under more relaxed restrictions.

20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org