Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hecke-type congruences for two smallest parts functions   We prove infinitely many congruences modulo 3, 5, and powers of 2 for the
overpartition function $\bar{p}(n)$ and two smallest parts functions:
$\bar{\operatorname{spt1}}(n)$ for overpartitions and $\operatorname{M2spt}(n)$
for partitions without repeated odd parts. These resemble the Hecke-type
congruences found by Atkin for the partition function $p(n)$ in 1966 and Garvan
for the smallest parts function $\operatorname{spt}(n)$ in 2010. The proofs
depend on congruences between the generating functions for $\bar{p}(n)$,
$\bar{\operatorname{spt1}}(n),$ and $\operatorname{M2spt}(n)$ and eigenforms
for the half-integral weight Hecke operator $T(\ell^{2})$.

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The categories of this paper are: chem-ph
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The categories of this paper are: math-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: econ
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The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: cs
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The categories of this paper are: stat
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The categories of this paper are: gr-qc
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The categories of this paper are: adap-org
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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
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The categories of this paper are: eess
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The categories of this paper are: astro-ph
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The categories of this paper are: nlin
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The categories of this paper are: hep-lat