Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The mean vcalue of the product of class numbers of paired quadratic
  fields II   This is the second part of a two part paper. In this part, we evaluate the
previously unevaluated local densities at dyadic places which appear in the
density theorem stated in the first part. For this part, we introduce an
invariant, the level, attaced to a pair of ramified quadratic extensions of a
dyadic local field. This invariant measures how close two fields are in their
arithmetic properties and may be of interest independent of its application
here.

20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn