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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Higher order shuffle regularization for multiple zeta values
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by Zhong-hua Li PDF
Proc. Amer. Math. Soc. 138 (2010), 2321-2333 Request permission

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.
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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
  • Received by editor(s): September 2, 2009
  • Received by editor(s) in revised form: November 5, 2009
  • Published electronically: March 10, 2010
  • Communicated by: Ken Ono
  • © Copyright 2010 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 138 (2010), 2321-2333
  • MSC (2010): Primary 11M32, 33B30
  • DOI: https://doi.org/10.1090/S0002-9939-10-10354-2
  • MathSciNet review: 2607861