An explicit Galois descent for multiple $t$-values of maximal height
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Acceso en línea: | |
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| _version_ | 1866914552497569792 |
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| author | Charlton, Steven Hoffman, Michael E. Sato, Nobuo |
| author_facet | Charlton, Steven Hoffman, Michael E. Sato, Nobuo |
| contents | We give an explicit formula for the Galois descent expressing multiple $t$-values of maximal height in terms of classical multiple zeta values, making precise Murakami's earlier motivic result. Our results rely on the theory of iterated beta integrals. We apply this formula to obtain evaluations of various multiple zeta-half values. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_10262 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | An explicit Galois descent for multiple $t$-values of maximal height Charlton, Steven Hoffman, Michael E. Sato, Nobuo Number Theory Primary 11M32, 11M41, Secondary 33C20, 33B15 We give an explicit formula for the Galois descent expressing multiple $t$-values of maximal height in terms of classical multiple zeta values, making precise Murakami's earlier motivic result. Our results rely on the theory of iterated beta integrals. We apply this formula to obtain evaluations of various multiple zeta-half values. |
| title | An explicit Galois descent for multiple $t$-values of maximal height |
| topic | Number Theory Primary 11M32, 11M41, Secondary 33C20, 33B15 |
| url | https://arxiv.org/abs/2605.10262 |