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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)



Sum of multiple $ q$-zeta values

Author: Zhong-hua Li
Journal: Proc. Amer. Math. Soc. 138 (2010), 505-516
MSC (2000): Primary 11M41, 11M99
Published electronically: October 6, 2009
MathSciNet review: 2557168
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Abstract: The generating function of the sums of multiple $ q$-zeta values with fixed weights, depths and 1-heights, 2-heights, ..., $ r$-heights is represented in terms of specializations of basic hypergeometric functions.

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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

Keywords: Multiple $q$-zeta values, multiple $q$-polylogarithms, basic hypergeometric functions
Received by editor(s): March 1, 2009
Received by editor(s) in revised form: June 20, 2009
Published electronically: October 6, 2009
Communicated by: Ken Ono
Article copyright: © Copyright 2009 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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