Combinatorial interpretation for an identity involving overpartitions into parts = l (mod i)
DOI:
https://doi.org/10.35819/remat2020v6i1id3856Keywords:
Integer Partitions, Integer Overpartitions, Generating Functions, Matrices, Combinatorial InterpretationsAbstract
In the present paper we provide a combinatorial interpretation for an identity involving hypergeometric q-series in terms of matrices. This makes an identity that can be interpreted as a generating function for the number of overpartitions of an integer n whose parts are congruent to l module i. We will use the well-known Santos method, described in Santos, Mondek and Ribeiro (2011), that interprets coefficients of q-series as the number of certain matrices, in which their entries respect some neighborhood rules.
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https://orcid.org/0000-0002-0893-7426
