Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New upper bounds on sphere packings II   We continue the study of the linear programming bounds for sphere packing
introduced by Cohn and Elkies. We use theta series to give another proof of the
principal theorem, and present some related results and conjectures.

21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
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The categories of this paper are: q-fin