Identities involving partitions with distinct even parts and $4$-regular partitions
Combinatorics
2024-10-04 v1 Number Theory
Abstract
It is well known that the number of partitions into distinct even parts equals the number of -regular partitions. In this paper we prove identities relating certain restricted partitions into distinct even parts with restricted -regular partitions.
Cite
@article{arxiv.2410.02738,
title = {Identities involving partitions with distinct even parts and $4$-regular partitions},
author = {George E. Andrews and Mohamed El Bachraoui},
journal= {arXiv preprint arXiv:2410.02738},
year = {2024}
}
Comments
7 pages, Accepted for publication