A $q$-analogue of Boyadzhiev-Mneimneh-type binomial sums of finite multi-polylogarithms
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866908618682531840 |
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| author | Kamano, Ken |
| author_facet | Kamano, Ken |
| contents | We give a formula for a $q$-analogue of Boyadzhiev-Mneimneh-type binomial sums of finite multi-polylogarithms. In the limit as $q\to 1$, this formula reduces to an identity equivalent to the Sakugawa-Seki identities. We also give a formula for Boyadzhiev-Mneimneh-type sums corresponding to the Cauchy binomial theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_25059 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A $q$-analogue of Boyadzhiev-Mneimneh-type binomial sums of finite multi-polylogarithms Kamano, Ken Combinatorics Number Theory 11M32 We give a formula for a $q$-analogue of Boyadzhiev-Mneimneh-type binomial sums of finite multi-polylogarithms. In the limit as $q\to 1$, this formula reduces to an identity equivalent to the Sakugawa-Seki identities. We also give a formula for Boyadzhiev-Mneimneh-type sums corresponding to the Cauchy binomial theorem. |
| title | A $q$-analogue of Boyadzhiev-Mneimneh-type binomial sums of finite multi-polylogarithms |
| topic | Combinatorics Number Theory 11M32 |
| url | https://arxiv.org/abs/2510.25059 |