Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The smallest parts function associated with $\omega(q)$   We establish two families of congruences modulo powers of 5 for the Fourier
coefficients of $(2E_2(2\tau)-E_2(\tau))\eta(2\tau)^{-1}$, where $E_2(\tau)$ is
the weight 2 Eisenstein series and $\eta(\tau)$ is the Dedekind eta function.
This allows us to prove similar congruences for two smallest parts functions.
The first function is $\mathrm{spt}_{\omega}(n)$, which was introduced by
Andrews, Dixit and Yee and associated with Ramanujan/Watson's third order mock
theta function $\omega(q)$. The second one is $\mathrm{spt}_{C5}(n)$, which
appeared in the work of Garvan and Jennings-Shaffer. Moreover, we confirm two
conjectural congruences of Wang.

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The categories of this paper are: adap-org
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The categories of this paper are: plasm-ph
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The categories of this paper are: eess
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The categories of this paper are: q-alg
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The categories of this paper are: cmp-lg
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The categories of this paper are: patt-sol
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The categories of this paper are: nlin
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The categories of this paper are: hep-ph
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The categories of this paper are: stat
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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: quant-ph
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: cs