Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Congruences for Andrews' spt-function modulo powers of 5, 7 and 13   Congruences are found modulo powers of 5, 7 and 13 for Andrews' smallest
parts partition function spt(n). These congruences are reminiscent of
Ramanujan's partition congruences modulo powers of 5, 7 and 11. Recently, Ono
proved explicit Ramanujan-type congruences for spt(n) modulo p for all primes
p>3 which were conjectured earlier by the author. We extend Ono's method to
handle the powers of 5, 7 and 13 congruences. We need the theory of weak Maass
forms as well as certain classical modular equations for the Dedekind
eta-function.

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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
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The categories of this paper are: q-alg
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The categories of this paper are: bayes-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-th
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The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
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The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
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The categories of this paper are: supr-con