An approach to q-binomial theorem via m-modular diagram
In this note, we establish a bijection between two kinds of subsets of the set of all partitions of n by extending Chapman's conjugation of 2-modular diagrams. Based on this bijection, we provide a combinatorial proof of the q-binomial theorem.
Authors
- A. Q. Zhang (ORCID: https://orcid.org/0009-0003-3256-5831)
- Ji-Cai Liu (ORCID: https://orcid.org/0000-0002-8618-2305)
Institutions
- Wenzhou University (CN)
Publication Details
- Journal
- Proceedings of the Romanian Academy Series A Mathematics Physics Technical Sciences Information Science
- Published
- 2024-09-30
- DOI
- https://doi.org/10.59277/pra-ser.a.25.3.01
- Primary Topic
- Advanced Mathematical Identities
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China