Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Theta series and number fields: theorems and experiments   We construct certain $\theta$-series associated to number fields and prove
that for number fields of degree less than equal to 4, these $\theta$-series
are number field invariants. We also investigate whether or not the collection
of $\theta$-series associated to number fields of the same degree and
discriminant are linearly independent. This is known to be true if the degree
of the number field is less than or equal to 3. We do not prove in this paper
that they are linearly independent in general but we do give computational and
heuristic evidence that we would expect them to be.

21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat