paper

"Overpartitionized" Rogers--Ramanujan type identities

arXiv:2501.17826

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.

13 pages, version 2 corrects minor typos in version 1

"Overpartitionized" Rogers--Ramanujan type identities · wovepaper