Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some partition and analytical identities arising from Alladi, Andrews,
  Gordon bijections   In a work of 1995, Alladi, Andrews, and Gordon provided a generalization of
the two Capparelli identities involving certain classes of integer partitions.
Inspired by that contribution, in particular as regards the general setting and
the tools the authors employed, we obtain new partition identities by
identifying further sets of partitions that can be explicitly put into a
one-to-one correspondence by the method described in the 1995 paper. As a
further result, although of a different nature, we obtain an analytical
identity of Rogers-Ramanujan type, involving generating functions, for a class
of partition identities already found in that paper and that generalize the
first Capparelli identity and include it as a particular case. To achieve this,
we apply the same strategy as Kanade and Russel did in a recent paper. This
method relies on the use of jagged partitions that can be seen as a more
general kind of integer partitions.

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The categories of this paper are: supr-con
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The categories of this paper are: math-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: stat
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The categories of this paper are: eess
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The categories of this paper are: acc-phys
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The categories of this paper are: q-alg
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The categories of this paper are: hep-th
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: comp-gas
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The categories of this paper are: cs
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The categories of this paper are: quant-ph
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The categories of this paper are: econ
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The categories of this paper are: nucl-ex