On relations for the $q$-multiple zeta values

Details On relations for the $q$-multiple zeta values On relations for the $q$-multiple zeta values

2004-02-10

arxiv.org/abs/math/0402152v2

Mathematics

Quantum Algebra

16 pages

Scientific paper

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.

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