
SIGMA 9 (2013), 061, 15 pages arXiv:1306.6164
http://dx.doi.org/10.3842/SIGMA.2013.061
Contribution to the Special Issue in honor of Anatol Kirillov and Tetsuji Miwa
The Algebra of a qAnalogue of Multiple Harmonic Series
Yoshihiro Takeyama
Division of Mathematics, Faculty of Pure and Applied Sciences, University of Tsukuba, Tsukuba, Ibaraki 3058571, Japan
Received June 27, 2013, in final form October 16, 2013; Published online October 22, 2013
Abstract
We introduce an algebra which describes the multiplication structure of a family of qseries
containing a qanalogue of multiple zeta values.
The double shuffle relations are formulated in our framework.
They contain a qanalogue 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.
Key words:
multiple harmonic series; qanalogue.
pdf (383 kb)
tex (16 kb)
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