Mathematical Journal of Okayama University volume63 issue1
2021-01 発行

A weak Euler formula for l-adic Galois double zeta values

Zdzisław, Wojtkowiak Université de Nice-Sophia Antipolis, Déartement de Math ématiques Laboratoire Jean Alexandre Dieudonné
Publication Date
2021-01
Abstract
The fact that the double zeta values ζ(n, m) can be written in terms of zeta values, whenever n+m is odd is attributed to Euler. We shall show the weak version of this result for the l-adic Galois realization.
Keywords
multiple zeta values
Galois groups
fundamental groups
Comments
Mathematics Subject Classification. Primary 11M32; Secondary 11G55, 14H30.