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arXiv · 2608.16735

Galois descents of certain multiple polylogarithms

Yajun Zhou
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Abstract

We prove some conjectures of K. C. Au concerning the descents of cyclotomic levels in certain sums over multiple polylogarithms. Via answers to a question of Au in some particular cases, we also confirm Broadhurst's conjecture on honorary multiple zeta values at even weights.

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Yajun Zhou. 2026-08-17. Galois descents of certain multiple polylogarithms. https://arxiv.org/abs/2608.16735

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