Sum of multiple $q$-zeta values
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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, β¦, $r$-heights is represented in terms of specializations of basic hypergeometric functions.References
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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, Peopleβs Republic of China
- Email: lizhmath@gmail.com
- 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
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 138 (2010), 505-516
- MSC (2000): Primary 11M41, 11M99
- DOI: https://doi.org/10.1090/S0002-9939-09-10096-5
- MathSciNet review: 2557168