Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Kuznetsov Trace Formula for $\mathrm{PGL}_2(\mathbb{C})$   In this note, using a representation theoretic method of Cogdell and
Piatetski-Shapiro, we prove the Kuznetsov trace formula for an arbitrary
discrete group $\Gamma$ in $\mathrm{PGL}_2(\mathbb{C})$ that is cofinite but
not cocompact. An essential ingredient is a kernel formula, recently proved by
the author, on Bessel functions for $\mathrm{PGL}_2(\mathbb{C})$. This approach
avoids the difficult analysis in the existing method due to Bruggeman and
Motohashi.

7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org