Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effective bisector estimate with application to Apollonian circle
  packings   Let \Gamma<\PSL(2,\C) be a geometrically finite non-elementary discrete
subgroup, and let its critical exponent \delta\ be greater than 1. We use
representation theory of \PSL(2,\C) to prove an effective bisector counting
theorem for \Gamma, which allows counting the number of points of \Gamma\ in
general expanding regions in \PSL(2,\C) and provides an explicit error term. We
apply this theorem to give power savings in the Apollonian circle packing
problem and related counting problems.

22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph