Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Small doubling in prime-order groups: from $2.4$ to $2.6$   Improving upon the results of Freiman and Candela-Serra-Spiegel, we show that
for a non-empty subset $A\subseteq\mathbb F_p$ with $p$ prime and
$|A|<0.0045p$, (i) if $|A+A|<2.59|A|-3$ and $|A|>100$, then $A$ is contained in
an arithmetic progression of size $|A+A|-|A|+1$, and (ii) if $|A-A|<2.6|A|-3$,
then $A$ is contained in an arithmetic progression of size $|A-A|-|A|+1$.
  The improvement comes from using the properties of higher energies.

24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph