Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sets whose differences avoid squares modulo m   We prove that if $\varepsilon(m)\to 0$ arbitrarily slowly, then for almost
all $m$ and any $A\subset\mathbb{Z}_m$ such that $A-A$ does not contain
non-zero quadratic residues we have $|A|\leq m^{1/2-\varepsilon(m)}.$

20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
9
The categories of this paper are: nlin