Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Fourier coefficients of 2-dimensional vector-valued modular forms   Let $\rho: SL(2,\mathbb{Z})\to GL(2,\mathbb{C})$ be an irreducible
representation of the modular group such that $\rho(T)$ has finite order $N$.
We study holomorphic vector-valued modular forms $F(\tau)$ of integral weight
associated to $\rho$ which have \emph{rational} Fourier coefficients. (These
span the complex space of all integral weight vector-valued modular forms
associated to $\rho$.) As a special case of the main Theorem, we prove that if
$N$ does \emph{not} divide 120 then every nonzero $F(\tau)$ has Fourier
coefficients with \emph{unbounded denominators}.

17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th