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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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On the sum formula for the $q$-analogue of non-strict multiple zeta values
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by Yasuo Ohno and Jun-Ichi Okuda PDF
Proc. Amer. Math. Soc. 135 (2007), 3029-3037 Request permission

Abstract:

In this article, the $q$-analogues of the linear relations of non-strict multiple zeta values called “the sum formula” and “the cyclic sum formula” are established.
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Additional Information
  • Yasuo Ohno
  • Affiliation: Department of Mathematics, Kinki University, Higashi-Osaka 577-8502, Japan
  • Address at time of publication: Max-Planck-Institute für Mathematik, Vivatsgasse 7, 53111 Bonn, Germany
  • Email: ohno@math.kindai.ac.jp
  • Jun-Ichi Okuda
  • Affiliation: Department of Mathematical Sciences, Science and Engineering, Waseda University, Tokyo 169-8555, Japan
  • Email: okuda@gm.math.waseda.ac.jp
  • Received by editor(s): March 1, 2006
  • Published electronically: June 19, 2007
  • Additional Notes: The first author was partly supported by Grant-in-Aid for Young Scientists (B) No. 18740020 and the second author was partly supported by Grant-in-Aid for Young Scientists (B) No. 17740026 from the Ministry of Education, Culture, Sports, Science and Technology, Japan.
  • 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. 135 (2007), 3029-3037
  • MSC (2000): Primary 11M41, 33D15, 11B65, 05A30, 11M06
  • DOI: https://doi.org/10.1090/S0002-9939-07-08994-0
  • MathSciNet review: 2322731