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Let $N$ be a positive integer.
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M. E. Hoffman, Algebra of Multiple Zeta Values and Euler Sums, Mini-Conference on Zeta Functions, Index, and Twisted K-Theory: Interactions with Physics, Oberwolfach, Germany, May 2, 2006. Available online www.usna.edu/Users/math/meh
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K. Ihara, M. Kaneko, and D. Zagier, Derivation and double shuffle relations for multiple zeta values , Comp. Math. 142
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J. Zhao, Analytic continuation of multiple polylogarithms. Analysis Mathematica
2007
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A. Goncharov, The dihedral Lie algebras and Galois symmetries of π 1 ( l ) ( ℙ 1 − ( { 0 , ∞ } ∪ μ N ) ) \pi_{1}^{(l)}(\mathbb{P}_{1}-(\{0,\infty\}\cup\mu_{N})) , Duke Math. J. 110
2001
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M. Bigotte, , G. Jacob, N.E. Oussous and M. Petitot, Lyndon words and shuffle algebras for generating the coloured multiple zeta values relations tables, Theoretical Computer Science, 273
2002
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J. Borwein, P. Lisonek, and P. Irvine, An interface for evaluation of Euler sums , available online at http://oldweb.cecm.sfu.ca/cgi-bin/EZFace/zetaform.cgi
Cited in the paper.
D. J. Broadhurst, C onjectured enumeration of irreducible multiple zeta values, from knots and Feynman diagrams, preprint hep-th9612012
Cited in the paper.
P. Deligne, Le groupe fondamental de la 𝔾 m − 𝛍 N {\mathbb{G}}_{m}-{\boldsymbol{\mu}}_{N} , unpublished manuscript
Cited in the paper.
J. Vollinga, S. Weinzierl, Numerical evaluation of multiple polylogarithms , arXiv:hep-ph/0410259
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J. Zhao, Double shuffle relations of Euler sums , arXiv: 0705.2267
Cited in the paper.
J. Zhao, Multiple polylogarithm values at roots of unity , C. R. Acad. Sci. Paris, Ser. I. 2008. DOI: 10.1016/j.crma.2008.09.011
2008
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