Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rank and Crank Moments for Partitions without Repeated Odd Parts   Using quasimodular forms with respect to $\Gamma_0(4)$ we find exact
relations between the M2-rank for partitions without repeated odd parts and
three residual cranks. From these identities we are able to deduce various
congruences mod 3 and 5 between the rank and crank moments. In turn, these
congruences give congruences for $M2spt(n)$, the number of occurrences of
smallest parts in the partitions of $n$ with smallest part even and without
repeated odd parts, and for the higher order analog $M2spt_2(n)$.

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The categories of this paper are: quant-ph
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The categories of this paper are: cs
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The categories of this paper are: math-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: supr-con
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The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys
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The categories of this paper are: astro-ph
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The categories of this paper are: q-alg
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The categories of this paper are: dg-ga
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The categories of this paper are: gr-qc
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The categories of this paper are: patt-sol
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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn