|
This article is cited in 13 scientific papers (total in 13 papers)
The Algebra of a $q$-Analogue of Multiple Harmonic Series
Yoshihiro Takeyama Division of Mathematics, Faculty of Pure and Applied Sciences, University of Tsukuba, Tsukuba, Ibaraki 305-8571, Japan
Abstract:
We introduce an algebra which describes the multiplication structure of a family of $q$-series containing a $q$-analogue of multiple zeta values. The double shuffle relations are formulated in our framework. They contain a $q$-analogue of Hoffman's identity for multiple zeta values. We also discuss the dimension of the space spanned by the linear relations realized in our algebra.
Keywords:
multiple harmonic series; $q$-analogue.
Received: June 27, 2013; in final form October 16, 2013; Published online October 22, 2013
Citation:
Yoshihiro Takeyama, “The Algebra of a $q$-Analogue of Multiple Harmonic Series”, SIGMA, 9 (2013), 061, 15 pp.
Linking options:
https://www.mathnet.ru/eng/sigma844 https://www.mathnet.ru/eng/sigma/v9/p61
|
Statistics & downloads: |
Abstract page: | 190 | Full-text PDF : | 44 | References: | 42 |
|