On a conjecture of Zhao related to standard relations among cyclotomic multiple zeta values
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866915039539101696 |
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| author | Bachmann, Henrik Yaddaden, Khalef |
| author_facet | Bachmann, Henrik Yaddaden, Khalef |
| contents | We provide a proof of a conjecture by Zhao concerning the structure of certain relations among cyclotomic multiple zeta values in weight two. We formulate this conjecture in a broader algebraic setting in which we give a natural equivalence between two schemes attached to a finite abelian group $G$. In particular, when $G$ is the group of roots of unity, these schemes describe the standard relations among cyclotomic multiple zeta values. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_18952 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On a conjecture of Zhao related to standard relations among cyclotomic multiple zeta values Bachmann, Henrik Yaddaden, Khalef Number Theory Quantum Algebra 11M32, 16T05, 11F32, 14A15 We provide a proof of a conjecture by Zhao concerning the structure of certain relations among cyclotomic multiple zeta values in weight two. We formulate this conjecture in a broader algebraic setting in which we give a natural equivalence between two schemes attached to a finite abelian group $G$. In particular, when $G$ is the group of roots of unity, these schemes describe the standard relations among cyclotomic multiple zeta values. |
| title | On a conjecture of Zhao related to standard relations among cyclotomic multiple zeta values |
| topic | Number Theory Quantum Algebra 11M32, 16T05, 11F32, 14A15 |
| url | https://arxiv.org/abs/2411.18952 |