Bibliographic Details
| Title: |
A combinatorial approach to Berkovich type identities |
| Authors: |
Liu, Ji-Cai |
| Publication Year: |
2024 |
| Collection: |
Mathematics |
| Subject Terms: |
Mathematics - Combinatorics, Mathematics - Number Theory, 05A19, 05A10, 05A17 |
| More Details: |
Motivated by Berkovich's nine $q$-binomial identities involving the Legendre symbol $(\frac{d}{3})$, we establish a unified form of $q$-binomial identities of this type through a combinatorial approach. This unified form includes Berkovich's nine identities as special cases. Many such identities can be also deduced from this unified form.
Comment: 10 pages |
| Document Type: |
Working Paper |
| Access URL: |
http://arxiv.org/abs/2404.08941 |
| Accession Number: |
edsarx.2404.08941 |
| Database: |
arXiv |
