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arXiv · 2501.17826

"Overpartitionized" Rogers--Ramanujan type identities

Abdulaziz Alanazi·Augustine O. Munagi·Andrew V. Sills
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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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Abdulaziz Alanazi, Augustine O. Munagi, Andrew V. Sills. 2025-01-30. "Overpartitionized" Rogers--Ramanujan type identities. https://arxiv.org/abs/2501.17826

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