Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $L$--functions and sum--free sets   For set $A\subset {\mathbb {F}_p}^*$ define by ${\mathsf{sf}}(A)$ the size of
the largest sum--free subset of $A.$ Alon and Kleitman showed that
${\mathsf{sf}} (A) \ge |A|/3+O(|A|/p).$ We prove that if ${\mathsf{sf}}
(A)-|A|/3$ is small then the set $A$ must be uniformly distributed on cosets of
each large multiplicative subgroup. Our argument relies on irregularity of
distribution of multiplicative subgroups on certain intervals in ${\mathbb
{F}_p}$.

19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat