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Higher order shuffle regularization for multiple zeta values
Author(s):
Zhong-hua
Li
Journal:
Proc. Amer. Math. Soc.
138
(2010),
2321-2333.
MSC (2010):
Primary 11M32, 33B30
Posted:
March 10, 2010
MathSciNet review:
2607861
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Additional information
Abstract:
We study the higher order shuffle regularization for multiple zeta values and define higher order regularized shuffle relations. We find that higher order regularized shuffle relations can be deduced from the group-like property of the Drinfel'd associator.
References:
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Additional Information:
Zhong-hua
Li
Affiliation:
Graduate School of Mathematical Science, University of Tokyo, 3-8-1 Komaba, Meguro, Tokyo, 153-8914, Japan
Address at time of publication:
Department of Mathematics, Tongji University, Shanghai 200092, People's Republic of China
Email:
lizhmath@gmail.com
DOI:
10.1090/S0002-9939-10-10354-2
PII:
S 0002-9939(10)10354-2
Keywords:
Multiple zeta value,
shuffle regularization,
multiple polylogarithm.
Received by editor(s):
September 2, 2009,
Received by editor(s) in revised form:
November 5, 2009
Posted:
March 10, 2010
Communicated by:
Ken Ono
Copyright of article:
Copyright
2010,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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