The Algebra of a q -Analogue of Multiple Harmonic Series

Symmetry Integrability and Geometry-Methods and Applications

article

Yoshihiro Takeyama¹ 

[1] Division of Mathematics, Faculty of Pure and Applied Sciences, University of Tsukuba

关键词: multiple harmonic series;    q-analogue;   

DOI  :  10.3842/SIGMA.2013.061

来源: National Academy of Science of Ukraine

【 摘 要 】

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.

【 授权许可】

Unknown