The Algebra of a q-Analogue of Multiple Harmonic Series

被引：12
|
作者：
Takeyama, Yoshihiro [1 ]
机构：
[1] Univ Tsukuba, Fac Pure & Appl Sci, Div Math, Tsukuba, Ibaraki 3058571, Japan
来源：
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2013年 / 9卷
关键词：
multiple harmonic series; q-analogue; Q-ZETA VALUES;
D O I：
10.3842/SIGMA.2013.061
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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 spaces panned by the linear relations realized in our algebra.
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页数：15
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