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. [ProQuest: [...] denotes formulae omitted.]

Details

Title
The Algebra of a q-Analogue of Multiple Harmonic Series
Author
Takeyama, Yoshihiro
Publication year
2013
Publication date
2013
Publisher
National Academy of Sciences of Ukraine
e-ISSN
18150659
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
1676408348
Copyright
Copyright National Academy of Sciences of Ukraine 2013