On relations for the $q$-multiple zeta values

Jun-ichi Okuda; Yoshihiro Takeyama

On relations for the $q$-multiple zeta values

量子代数 2007-05-23 v2 数论

作者: Jun-ichi Okuda , Yoshihiro Takeyama

摘要

We prove some relations for the $q$ -multiple zeta values ( $q$ MZV). They are $q$ -analogues of the cyclic sum formula, the Ohno relation and the Ohno-Zagier relation for the multiple zeta values (MZV). We discuss the problem to determine the dimension of the space spanned by $q$ MZV's over $\Q$ , and present an application to MZV.

关键词

multiple zeta values

引用

@article{arxiv.math/0402152,
  title  = {On relations for the $q$-multiple zeta values},
  author = {Jun-ichi Okuda and Yoshihiro Takeyama},
  journal= {arXiv preprint arXiv:math/0402152},
  year   = {2007}
}

备注

16 pages

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