An explicit Galois descent for multiple $t$-values of maximal height

Steven Charlton; Michael E. Hoffman; Nobuo Sato

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arXiv · 2605.10262

An explicit Galois descent for multiple $t$-values of maximal height

Steven Charlton·Michael E. Hoffman·Nobuo Sato

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Abstract

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.

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Steven Charlton, Michael E. Hoffman, Nobuo Sato. 2026-05-11. An explicit Galois descent for multiple $t$-values of maximal height. https://arxiv.org/abs/2605.10262

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