Proof of Kaneko--Tsumura Conjecture on Triple T-Values
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arXiv
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| Autori principali: | , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2020
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| _version_ | 1866929524881489920 |
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| author | Berger, Sasha Chandra, Aarav Jain, Jasper Xu, Daniel Xu, Ce Zhao, J. |
| author_facet | Berger, Sasha Chandra, Aarav Jain, Jasper Xu, Daniel Xu, Ce Zhao, J. |
| contents | Many $\mathbb{Q}$-linear relations exist between multiple zeta values, the most interesting of which are various weighted sum formulas. In this paper, we generalized these to Euler sums and some other variants of multiple zeta values by considering the generating functions of the Euler sums. Through this approach we are able to re-prove a few known formulas, confirm a conjecture of Kaneko and Tsumura on triple $T$-values, and discover many new identities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2011_02393 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Proof of Kaneko--Tsumura Conjecture on Triple T-Values Berger, Sasha Chandra, Aarav Jain, Jasper Xu, Daniel Xu, Ce Zhao, J. Number Theory 11M06, 11M32, 11M35, 11G55, 11B39 Many $\mathbb{Q}$-linear relations exist between multiple zeta values, the most interesting of which are various weighted sum formulas. In this paper, we generalized these to Euler sums and some other variants of multiple zeta values by considering the generating functions of the Euler sums. Through this approach we are able to re-prove a few known formulas, confirm a conjecture of Kaneko and Tsumura on triple $T$-values, and discover many new identities. |
| title | Proof of Kaneko--Tsumura Conjecture on Triple T-Values |
| topic | Number Theory 11M06, 11M32, 11M35, 11G55, 11B39 |
| url | https://arxiv.org/abs/2011.02393 |