Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On large subsets of $F_q^n$ with no three-term arithmetic progression   In this note, we show that the method of Croot, Lev, and Pach can be used to
bound the size of a subset of $F_q^n$ with no three terms in arithmetic
progression by $c^n$ with $c < q$. For $q=3$, the problem of finding the
largest subset with no three terms in arithmetic progression is called the `cap
problem'. Previously the best known upper bound for the cap problem, due to
Bateman and Katz, was $O(3^n / n^{1+\epsilon})$.

19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex