Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a property of 2-dimensional integral Euclidean lattices   Let $L$ be any integral lattice in the 2-dimensional Euclidean space.
Generalizing the earlier works of Hiroshi Maehara and others, we prove that for
every integer $n>0$, there is a circle in the plane $\mathbb{R}^{2}$ that
passes through exactly $n$ points of $L$.

21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics