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"Overpartitionized" Rogers--Ramanujan type identities
Published 29 Jan 2025 in math.CO | (2501.17826v2)
Abstract: Many classical $q$-series identities, such as the Rogers--Ramanujan identities, yield combinatorial interpretations in terms of integer partitions. Here we consider algebraically manipulating some of the classical $q$-series to yield natural combinatorial interpretations in terms of overpartitions. Bijective proofs are supplied as well.
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