发表机构
Princeton University; Peking University（普林斯顿大学; 北京大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究证明了K. C. Au关于多重对数和割圆级下降的猜想，还确认了Broadhurst关于偶权荣誉多重zeta值的猜想。
AI 中文摘要
我们证明了K. C. Au关于某些多重对数和中割圆级下降的若干猜想，通过在特定情形下回答Au的问题，还确认了Broadhurst关于偶权荣誉多重zeta值的猜想。
英文摘要
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.
Comments35 pages, 1 table. Sequel to arXiv:2607.14646v2. Verification of Conjectures 1.5(a)(b) and 1.6 in arXiv:2201.01676v3, as well as Conjectures 5 and 6 in arXiv:1409.7204v1. Reorganized and expanded
