Mathematical Journal of Okayama University volume66 issue1
2024-01 発行
Duality-reflection formulas of multiple polylogarithms and their ℓ-adic Galois analogues
Shiraishi, Densuke
Department of Mathematics, Graduate School of Science, Osaka University
Publication Date
2024-01
Abstract
In this paper, we derive formulas of complex and ℓ-adic multiple polylogarithms, which have two aspects: a duality in terms of indexes and a reflection in terms of variables. We provide an algebraic proof of these formulas by using algebraic relations between associators arising from the S3-symmetry of the projective line minus three points.
Keywords
multiple polylogarithm
ℓ-adic Galois multiple polylogarithm
duality-reflection formula
Comments
Mathematics Subject Classification. Primary 11G55; Secondary 11F80, 14H30.
ISSN
0030-1566
NCID
AA00723502
