Symmetry on Linear Relations for Multiple Zeta Values

DOI10.1017/S0027763000009508zbMath1132.11348MaRDI QIDQ5458033

Hiroyuki Ochiai, Kentaro Ihara

Publication date: 10 April 2008

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.nmj/1205156910

zbMATH Keywords

symmetrydimensionreflection groupsdouble shuffle space of depth threeinvariant theory for reflection groupsmultiple zeta values of depth three

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (4)

Evaluation of and period polynomial relations ⋮ Multiple Eisenstein Series and q-Analogues of Multiple Zeta Values ⋮ A Dimension Conjecture for q-Analogues of Multiple Zeta Values ⋮ On lower bounds of the dimensions of multizeta values in positive characteristic

Cites Work

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• Multiple polylogarithms, cyclotomy and modular complexes
• The dihedral Lie algebras and Galois symmetries of \(\pi_1^{(l)}(\mathbb P^1-(\{0,\infty\}\cup\mu-\{N\}))\).
• Association of multiple zeta values with positive knots via Feynman diagrams up to 9 loops
• Derivation and double shuffle relations for multiple zeta values

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