Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Thin Fundamental Set for SL(2, Z)   Let $\Gamma=SL(2, \mathbb Z)$ and $G=SL(2, \mathbb R)$. Let $g=kan$ be the
Iwasawa decomposition. Let $\epsilon$ be a small positive number. In this
paper, we construct a fundamental set $\mathcal F_{\epsilon}$ such that the
$k$-component of $ g \in \mathcal F_{\epsilon}$ is within the
$\epsilon$-distance from the identity. We further prove an inequality for the
$L^2$-norm of functions on $G/\Gamma$.

11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin