Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A proof of the S-genus identities for ternary quadratic forms   In this paper we prove the main conjectures of Berkovich and Jagy about
weighted averages of representation numbers over an S-genus of ternary lattices
(defined below) for any odd squarefree S \in N. We do this by reformulating
them in terms of local quantities using the Siegel-Weil and Conway-Sloane
formulas, and then proving the necessary local identities. We conclude by
conjecturing generalized formulas valid over certain totally real number fields
as a direction for future work.

27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
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The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph