The Moments of Ranks and Cranks for Cubic Partitions
In this paper, we introduce the absolute rank and crank moments of cubic partitions and obtain some inequalities between them. These results enable us to settle an open question of Kim, Kim and Nam [14] on inequalities between rank and crank moments of cubic partitions.
Authors
- Nian Hong Zhou (ORCID: https://orcid.org/0000-0003-2889-5312)
- Rongying Lu
- Yuan Chen (ORCID: https://orcid.org/0009-0002-3051-0805)
Institutions
- Guangxi Normal University (CN)
Publication Details
- Journal
- Taiwanese Journal of Mathematics
- Published
- 2025-03-13
- DOI
- https://doi.org/10.11650/tjm/250303
- Primary Topic
- Advanced Mathematical Identities
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China
- Guangxi Normal University
- Education Department of Guangxi Zhuang Autonomous Region