Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The number of representations of squares by integral ternary quadratic
  forms (II)   Let $f$ be a positive definite ternary quadratic form. We assume that $f$ is
non-classic integral, that is, the norm ideal of $f$ is $\z$. We say $f$ is
{\it strongly $s$-regular } if the number of representations of squares of
integers by $f$ satisfies the condition in Cooper and Lam's conjecture in \cite
{cl}. In this article, we prove that there are only finitely many strongly
$s$-regular ternary forms up to equivalence if the minimum of the non zero
squares that are represented by the form is fixed. In particular, we show that
there are exactly $207$ non-classic integral strongly $s$-regular ternary forms
that represent one (see Tables 1 and 2). This result might be considered as a
complete answer to a natural extension of Cooper and Lam's conjecture.

25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex