Proceedings of the American Mathematical Society

Author(s): Yasuo Ohno; Jun-Ichi Okuda
Journal: Proc. Amer. Math. Soc. 135 (2007), 3029-3037.
MSC (2000): Primary 11M41, 33D15, 11B65, 05A30, 11M06
Posted: June 19, 2007
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Abstract: In this article, the

-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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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 11M41, 33D15, 11B65, 05A30, 11M06

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

DOI: 10.1090/S0002-9939-07-08994-0
PII: S 0002-9939(07)08994-0
Keywords: Multiple zeta values, non-strict multiple zeta values, multiple zeta star values, sum formula, $q$-analogue, $q$-series, basic hypergeometric function.
Received by editor(s): March 1, 2006
Posted: 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 of article: Copyright 2007, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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