Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Higher depth quantum modular forms, multiple Eichler integrals, and
  $\frak{sl}_3$ false theta functions   We introduce and study higher depth quantum modular forms. We construct two
families of examples coming from rank two false theta functions, whose
"companions" in the lower half-plane can be also realized both as double
Eichler integrals and as non-holomorphic theta series having values of "double
error" functions as coefficients. In particular, we prove that the false theta
of $\frak{sl}_3$, appearing in the character of the vertex algebra
$W^0(p)_{A_2}$, can be written as the sum of two depth two quantum modular
forms of positive integral weight.

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The categories of this paper are: nlin
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The categories of this paper are: hep-lat
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The categories of this paper are: chem-ph
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The categories of this paper are: stat
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-th
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The categories of this paper are: quant-ph
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The categories of this paper are: math-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: ao-sci
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-th
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The categories of this paper are: q-bio
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The categories of this paper are: econ