"Overpartitionized" Rogers--Ramanujan type identities
Combinatorics
2025-02-03 v2
Abstract
Many classical -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 -series to yield natural combinatorial interpretations in terms of overpartitions. Bijective proofs are supplied as well.
Cite
@article{arxiv.2501.17826,
title = {"Overpartitionized" Rogers--Ramanujan type identities},
author = {Abdulaziz Alanazi and Augustine O. Munagi and Andrew V. Sills},
journal= {arXiv preprint arXiv:2501.17826},
year = {2025}
}
Comments
13 pages, version 2 corrects minor typos in version 1