Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lower bounds for resonance counting functions for obstacle scattering in
  even dimensions   In even dimensional Euclidean scattering, the resonances lie on the
logarithmic cover of the complex plane. This paper studies resonances for
obstacle scattering in ${\mathbb R}^d$ with Dirchlet or admissable Robin
boundary conditions, when $d$ is even. Set $n_m(r)$ to be the number of
resonances with norm at most $r$ and argument between $m\pi$ and $(m+1)\pi$.
Then $\lim\sup _{r\rightarrow \infty}\frac{\log n_m(r)}{\log r}=d$ if $m\in
{\mathbb Z}\setminus \{ 0\}$.

17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas