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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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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A generating function for sums of multiple zeta values and its applications
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by Takashi Aoki, Yasuhiro Kombu and Yasuo Ohno PDF
Proc. Amer. Math. Soc. 136 (2008), 387-395 Request permission

Abstract:

A generating function for specified sums of multiple zeta values is defined and a differential equation that characterizes this function is given. As applications, some relations for multiple zeta values over the field of rational numbers are discussed.
References
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Additional Information
  • Takashi Aoki
  • Affiliation: Department of Mathematics, Kinki University, Higashi-Osaka, Osaka 577-8502, Japan
  • Email: aoki@math.kindai.ac.jp
  • Yasuhiro Kombu
  • Affiliation: Department of Mathematics, Kinki University, Higashi-Osaka, Osaka 577-8502, Japan
  • Email: kombu@math.kindai.ac.jp
  • Yasuo Ohno
  • Affiliation: Department of Mathematics, Kinki University, Higashi-Osaka, Osaka 577-8502, Japan
  • Email: ohno@math.kindai.ac.jp
  • Received by editor(s): August 2, 2006
  • Published electronically: November 1, 2007
  • Additional Notes: The first author was supported in part by JSPS Grant-in-Aid No. 18540197.
    The third author was supported in part by JSPS Grant-in-Aid No. 18540197 and No. 18740020.
  • Communicated by: Jonathan M. Borwein
  • © Copyright 2007 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 136 (2008), 387-395
  • MSC (2000): Primary 11M06, 40B05; Secondary 33C05
  • DOI: https://doi.org/10.1090/S0002-9939-07-09175-7
  • MathSciNet review: 2358475