Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Computing an order complete basis for $M^{\infty}(N)$ and Applications   This paper gives a quick way to construct all modular functions for the group
$\Gamma_0(N)$ having only a pole at $\tau = i \infty$. We assume that we are
given two modular functions $f,g$ for $\Gamma_0(N)$ with poles only at $i
\infty$ and coprime pole orders. As an application we obtain two new identities
from which one can derive that $p(11n+6)\equiv 0\pmod{11}$, here $p(n)$ is the
usual partition function.

34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph