Galois descents of certain multiple polylogarithms
Yajun Zhou
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.
Create a lesson
Related papers
Explicit equations of Galois subfields of Hermitian function fields with respect to decomposition groups
Liming Ma, Yipeng Wang
Tunnell-type criteria for variants of the congruent number problem
Bo-Hae Im, Minseo Shin
A uniform effective André--Oort result
Guy Fowler
On a conjecture of Browning and Sawin on random hypersurfaces with sign coefficients
Ken Ono, Ashvin Swaminathan
On Multiple Eisenstein Series in Positive Characteristic: Direct Sum Result
Chieh-Yu Chang, Song-Yun Chen, Fei-Jun Huang et al.
Stable Trace Formula for Newton strata of Shimura varieties
Dhruva Kelkar