Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On class invariants for non-holomorphic modular functions and a question
  of Bruinier and Ono   Recently, Bruinier and Ono found an algebraic formula for the partition
function in terms of traces of singular moduli of a certain non-holomorphic
modular function. In this paper we prove that the rational polynomial having
these singuar moduli as zeros is (essentially) irreducible, settling a question
of Bruinier and Ono. The proof uses careful analytic estimates together with
some related work of Dewar and Murty, as well as extensive numerical
calculations of Sutherland.

37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn