Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Representation of Integers by Ternary Quadratic Forms: A Geometric
  Approach   In 1957 N.C. Ankeny provided a new proof of the three squares theorem using
geometry of numbers. This paper generalizes Ankeny's technique, proving exactly
which integers are represented by $x^2 + 2y^2 + 2z^2$ and $x^2 + y^2 + 2z^2$ as
well as proving sufficient conditions for an integer to be represented by
$x^2+y^2+3z^2$ and $x^2 + y^2 + 7z^2$.

26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph