Galois descents of certain multiple polylogarithms
arXiv:2608.16735
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.
16 pages. Sequel to arXiv:2607.14646v2. Verification of Conjectures 1.5(a)(b) and 1.6 in arXiv:2201.01676v3, as well as Conjecture 5 in arXiv:1409.7204v1