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PreprintarXiv licencearXiv

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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Cite

BibTeXRIS
BibTeX
@misc{zhou2026galois,
  title = {{Galois descents of certain multiple polylogarithms}},
  author = {Yajun Zhou},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2608.16735},
  eprint = {2608.16735},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.16735},
}
RIS
TY  - UNPB
TI  - Galois descents of certain multiple polylogarithms
AU  - Yajun Zhou
PY  - 2026
DA  - 2026/10/18
PB  - arXiv
DO  - 10.48550/arxiv.2608.16735
UR  - https://arxiv.org/abs/2608.16735
AB  - 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.
ER  -