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Sum of multiple $ q$-zeta values

Author(s): Zhong-hua Li
Journal: Proc. Amer. Math. Soc. 138 (2010), 505-516.
MSC (2000): Primary 11M41, 11M99
Posted: October 6, 2009
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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
Email: lizhmath@gmail.com

DOI: 10.1090/S0002-9939-09-10096-5
PII: S 0002-9939(09)10096-5
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
Posted: October 6, 2009
Communicated by: Ken Ono
Copyright of article: Copyright 2009, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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