Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $4$-Regular partitions and the pod function   The partition function $pod(n)$ enumerates the partitions of $n$ wherein odd
parts are distinct and even parts are unrestricted. Recently, a number of
properties for $pod(n)$ have been established. In this paper, for $k\in\{0,2\}$
we consider the partitions of $n$ into distinct parts not congruent to $k$
modulo $4$ and the $4$-regular partitions of $n$ in order to obtain new
properties for $pod(n)$. In this context, we derive two new infinite families
of linear inequalities involving the function $pod(n)$ and obtain new
identities of Watson type.

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The categories of this paper are: nlin
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The categories of this paper are: astro-ph
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The categories of this paper are: econ
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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: nucl-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: eess
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The categories of this paper are: ao-sci
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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: q-alg
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The categories of this paper are: stat
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The categories of this paper are: solv-int
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin