Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The number of imaginary quadratic fields with prime discriminant and
  class number up to $H$   In this paper, we obtain an asymptotic formula for the number of imaginary
quadratic fields with prime discriminant and class number up to $H$, as $H\to
\infty$. Previously, such an asymptotic was only known under the assumption of
the Generalized Riemann Hypothesis, by the recent work of Holmin, Jones,
Kurlberg, McLeman and Petersen.

35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
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The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys