A combinatorial approach to Berkovich type identities
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910409537093632 |
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| author | Liu, Ji-Cai |
| author_facet | Liu, Ji-Cai |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_08941 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A combinatorial approach to Berkovich type identities Liu, Ji-Cai Combinatorics Number Theory 05A19, 05A10, 05A17 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. |
| title | A combinatorial approach to Berkovich type identities |
| topic | Combinatorics Number Theory 05A19, 05A10, 05A17 |
| url | https://arxiv.org/abs/2404.08941 |