English

On relations for the $q$-multiple zeta values

Quantum Algebra 2007-05-23 v2 Number Theory

Abstract

We prove some relations for the qq-multiple zeta values (qqMZV). They are qq-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 qqMZV's over \Q\Q, and present an application to MZV.

Keywords

Cite

@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}
}

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16 pages