Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fourier coefficients of three-dimensional vector-valued modular forms   A thorough analysis is made of the Fourier coefficients for vector-valued
modular forms associated to three-dimensional irreducible representations of
the modular group. In particular, the following statement is verified for all
but a finite number of equivalence classes: if a vector-valued modular form
associated to such a representation has rational Fourier coefficients, then
these coefficients have "unbounded denominators", i.e. there is a prime number
p, depending on the representation, which occurs to an arbitrarily high power
in the denominators of the coefficients. This provides a verification in the
three-dimensional setting of a generalization of a long-standing conjecture
about noncongruence modular forms.

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The categories of this paper are: atom-ph
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The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
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The categories of this paper are: econ
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The categories of this paper are: nucl-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: cmp-lg
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The categories of this paper are: mtrl-th
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The categories of this paper are: supr-con
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The categories of this paper are: gr-qc
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The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
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The categories of this paper are: quant-ph
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The categories of this paper are: stat
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-th