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

Number Theory 2026-05-12 v1

Abstract

We give an explicit formula for the Galois descent expressing multiple tt-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.

Keywords

Cite

@article{arxiv.2605.10262,
  title  = {An explicit Galois descent for multiple $t$-values of maximal height},
  author = {Steven Charlton and Michael E. Hoffman and Nobuo Sato},
  journal= {arXiv preprint arXiv:2605.10262},
  year   = {2026}
}

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17 pages