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2008 Symmetry on linear relations for multiple zeta values
Kentaro Ihara, Hiroyuki Ochiai
Nagoya Math. J. 189: 49-62 (2008).


We find a symmetry for the reflection groups in the double shuffle space of depth three. The space was introduced by Ihara, Kaneko and Zagier and consists of polynomials in three variables satisfying certain identities which are connected with the double shuffle relations for multiple zeta values. Goncharov has defined a space essentially equivalent to the double shuffle space and has calculated the dimension. In this paper we relate the structure among multiple zeta values of depth three with the invariant theory for the reflection groups and discuss the dimension of the double shuffle space in this view point.


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Kentaro Ihara. Hiroyuki Ochiai. "Symmetry on linear relations for multiple zeta values." Nagoya Math. J. 189 49 - 62, 2008.


Published: 2008
First available in Project Euclid: 10 March 2008

zbMATH: 1132.11348
MathSciNet: MR2396583

Primary: 11M41
Secondary: 11M06 , 40B05

Rights: Copyright © 2008 Editorial Board, Nagoya Mathematical Journal


Vol.189 • 2008
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